Diagram A shows a negatively charged conducting rod placed near a light polystyrene ball that is suspended from the ceiling by an insulating thread .Diagram B shows what happens when the ball touches the rod. Explain why the ball is displaced vertically​

Diagram A Shows A Negatively Charged Conducting Rod Placed Near A Light Polystyrene Ball That Is Suspended

Answers

Answer 1

When a negatively charged conducting rod is brought near a light polystyrene ball suspended from the ceiling by an insulating thread (as shown in Diagram A), the electrons in the ball are repelled by the negative charge on the rod.

This causes the electrons in the ball to move away from the rod and distribute themselves unevenly throughout the surface of the ball. As a result, the side of the ball closest to the rod becomes positively charged, while the opposite side becomes negatively charged.

What happens when the ball touches the rod?

When the ball touches the negatively charged rod (as shown in Diagram B), the negatively charged electrons in the rod repel the negatively charged electrons in the ball, causing them to move away from the point of contact. This creates an imbalance of charges on the ball's surface, with an excess of positive charges on one side and negative charges on the other.

As a result of this charge imbalance, the ball experiences an electrostatic force, which causes it to move vertically away from the rod. The direction of the displacement depends on the relative magnitudes of the electrostatic force and the weight of the ball. If the electrostatic force is stronger than the weight of the ball, the ball will move upward. If the weight of the ball is stronger than the electrostatic force, the ball will move downward. In either case, the ball will be displaced vertically.

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Related Questions

The object shown below (length = 8 m) remains completely stationary, despite the fact that three forces act on it. Forces 1 and 3 act at either end,
while force 2 acts 1/4 of the way from the left end.
TIL
=
14
2
If the size of force 3 is 3 N, then how large must the other two forces be?
F₁
N
F₂ =
N
(For excellent practice, see if you can also get these answers using different pivots!)
43

Answers

The forces would be:  Force 1 is 1.875 N and Force 2 is 1.5 N.

How to solve for the force

Since the object is stationary, the net force acting on it must be zero. We can use the principle of moments to find the magnitude of forces 1 and 2.

Taking moments about the left end of the object, we have:

Force 1 x 8 m = Force 2 x 2 m + Force 3 x 4 m

Since Force 3 is given as 3 N, we can substitute that in and solve for Force 1 and Force 2:

Force 1 x 8 m = Force 2 x 2 m + 3 N x 4 m

Force 1 = (Force 2/2) + 12/8 N

Substituting this expression for Force 1 into the equation above:

(Force 2/2 + 12/8 N) x 8 m = Force 2 x 2 m + 3 N x 4 m

Simplifying and solving for Force 2:

4 Force 2 + 3 N x 2 = 8 Force 2 + 12 N

4 Force 2 = 6 N

Force 2 = 1.5 N

Substituting this value of Force 2 back into the equation for Force 1:

Force 1 = (1.5 N / 2) + 12/8 N = 1.875 N

Therefore, Force 1 is 1.875 N and Force 2 is 1.5 N.

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A sunken treasure chest is discovered resting on the bottom of a lake. The treasure chest has a mass of 85.0 kg and a volume of 2.0 x 10-2 m3. How much force is needed to lift it?

Answers

The amount of force needed to lift the sunken treasure chest is  833  N.

What is the amount of force needed?

The amount of force needed to lift the sunken treasure chest is calculated by applying Newton's second law of motion.

F = mg

where;

m is the massg is the acceleration due to gravity

The amount of force needed to lift the sunken treasure chest is calculated as;

F = 85 kg x 9.8 m/s²

F = 833  N

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What is the strength of the electric field at the position indicated by the dot in (Figure 1)?

Answers

The strength of the electric field (E) at the position indicated by the dot can be obtained with the formula: E = F/q where;

F_ = Force exerted per unit and

q = Positive electric charge at that point.

What is meant by  Electric Field?

Electric field is described as an electric property associated with each point in space when charge is present in any form.

The strength of an electric field, E refers to the force exerted per unit positive charge. It is indicated by the formula: E = F/q. Its SI unit is Newton per Coulomb or Volts per Meter (V/M).

Keep in mind that where the lines are near together, the electric field is highest, and where the lines are far apart, it is weakest.

Although the entire question is not given, the formula above can be applied to determine the solution.

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A 2 m long wire carrying 2 A of current pointing to the right is placed in a magnetic field of 4 T directed away from you. How big is the force acting on the wire?
A. 16 N
B. 12 N
C. 4 N
D. 8 N

Answers

A. 16 NTo calculate the force on the wire, we can use the formula:F = I * L x B

where F is the force on the wire, I is the current, L is the length of the wire, and B is the magnetic field.

In this case, we have:

I = 2 AL = 2 mB = 4 T

Using the right-hand rule, we know that the direction of the force is downward. So, we can write the vector equation for the force as:

F = -2 * (2 m) * (4 T) = -16 N

Here, the negative sign indicates that the force is directed downward, which is consistent with our use of the right-hand rule. Therefore, the magnitude of the force acting on the wire is 16 N. So, the correct answer is A. 16 N.

Which statement indicates what the fossil record suggests about evolution on Earth?

Humans have only recently existed on Earth.
Organisms originally lived only on land.
Life on Earth started before water formed on Earth.
Multicellular life evolved before complex single-celled life.

Answers

The fossil record suggests that multicellular life evolved before complex single-celled life on Earth.

What does the fossil record suggest about the evolution of life on Earth?

The statement that suggests what the fossil record indicates about evolution on Earth is "Multicellular life evolved before complex single-celled life." The fossil record provides evidence that early life forms were single-celled, and over time, some of these organisms evolved into multicellular organisms.

This is supported by the appearance of fossils of multicellular organisms that are older than those of complex single-celled organisms. The other statements are not supported by the fossil record; humans have not existed on Earth for very long, life likely began in the oceans, and early life forms were single-celled.

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Express your answers in meters per second in ascending order separated by a comma.

Answers

The time taken for the displacement is 10 s.

Initial position, X₁ = 2 m

Final position, X₂ = 3m

Therefore, the displacement,

ΔX = X₂ - X₁

ΔX = 1m

The time taken for this displacement,

Δt = 30 - 20

Δt = 10 s

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Your question was incomplete, but most probably your question will be: How long did it take the object to get from the position x = 2.0 m to the position x = 3.0 m? Express your answer(s) using two significant figures. If there is more than one answer enter your answers in ascending order separated by commas.

Find the equivalent resultant force and the distance to the centroid in the c-direction for the system below

Answers

Option A is correct.

Equivalent Resultant force = 5850 N down acting 4.85 m to the right of p.

What is Equivalent Resultant Force?

Equivalent Resultant Force is a single force that can replace a system of forces acting on a body or structure without altering the motion or equilibrium of the body or structure. The equivalent resultant force has the same effect as the original system of forces in terms of their combined magnitude, direction, and point of application.

In other words, the equivalent resultant force is the net force acting on a body or structure, which has the same effect as the original system of forces.

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i don’t understand how to solve this problem

Answers

According to the information, the new angular velocity is approximately 19.56 rev/min.

How to calculate the new angular velocity?

The moment of inertia of the merry-go-round with children is given by:

I = MR^2

where M is the total mass of the merry-go-round and children, and R is the radius.

I = (110 kg)(2.23 m)^2

I = 552.83 kg·m^2

The initial angular momentum of the system is given by:

L1 = Iω1

where ω1 is the initial angular velocity.

L1 = (552.83 kg·m^2)(2π(14.8 rev/min)/60)

L1 = 563.9 kg·m^2/s

When the child moves to the center of the merry-go-round, the moment of inertia of the system changes to:

I' = M'R^2

where M' is the new total mass of the merry-go-round and children.

M' = M - m

where m is the mass of the child who moved to the center.

M' = (110 kg) - (26.5 kg)

M' = 83.5 kg

I' = (83.5 kg)(2.23 m)^2

I' = 417.48 kg·m^2

The final angular momentum of the system is given by:

L2 = I'ω2

where ω2 is the new angular velocity.

Since angular momentum is conserved, we can set L1 equal to L2 and solve for ω2:

L1 = L2

Iω1 = I'ω2

(552.83 kg·m^2)(2π(14.8 rev/min)/60) = (417.48 kg·m^2)ω2

ω2 = (552.83/417.48) (2π(14.8 rev/min)/60)

ω2 = 19.56 rev/min

Therefore, the new angular velocity is approximately 19.56 rev/min.

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A 450 N, uniform, 1.50m bar is suspended horizontally by two vertical cables at each end. Cable A can support a maximum tension of 550N tension without breaking and cable B can support up to 400N. You want to place a small weight on this bar. What is the heaviest weight you can put on without breaking either cable?

Answers

549N is the answer to your question

how to calculat nodal analysis ​

Answers

1. Identify all nodes.

2. Choose a reference node. Identify it with reference (ground) symbol.

3. Assign voltage variables to the other nodes (these are node voltages.)

4. Write a KCL equation for each node (sum the currents leaving the node and set equal to zero).

5. Solve the system of equations from step 4.

PLEASE HELP WITH THIS QUESTION FAST

Answers

The fundamental frequency of the string is 120.4Hz (rounded to 1 decimal place)

Fundamental Frequency calculation

The formula for the Fundamental Frequency is given as:

f = 1/2 * L * [tex]\sqrt{T/n}[/tex]

where

  L is length of the string

  T is the tension in the string

  n is the linear density of the string

  f is the fundamental frequency of the string

Given the following,

n = 0.23g/cm = 0.23kg/m

L = 89cm = 0.89m

T = 268N

therefore,

f = 1/2 * 0.89 * [tex]\sqrt{268/0.23}[/tex]

f = 120.4 Hz

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the fundamental frequency of the string is  estimated at 102.7 Hz.

What is  fundamental frequency?

The fundamental frequency, often referred to simply as the fundamental, is described as  as the lowest frequency of a periodic waveform.

The fundamental frequency of a string fixed at both ends is shown as :

f = (1/2L) x  √(T/μ)

where

 L is length of the string

 T is the tension in the string

 n is the linear density of the string

 f is the fundamental frequency of the string

Substituting the given values, we have:

frequency  = (1/2 * 0.89 m)  X √(268 N / (0.023 kg/m))

frequency  = 102.7 Hz

In conclusion, the fundamental frequency of the string is 102.7 Hz.

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In the diagram, 9₁, 92, and q3 are in a straight line.
Each of these particles has a charge of
-2.35 x 10-6 C. Particles q₁ and q2 are separated
by 0.100 m and particles q2 and q3 are separated
by 0.100 m. What is the net force on particle q₁?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
-2.35 x 10-6 C
91
0.100 m
-2.35 x 10-6 ℃
92
-2.35 x 10-6 C
0.100 m
93
SH

Answers

The net force on q₁ is zero, which implies  that q₁ is in equilibrium and not moving.

How do we know?

The electric force between two charges is given by Coulomb's law as shown :

F= k * (q₁ * q₂) / r²

where F= force,

k = Coulomb's constant (9.0 x 10^9 N*m²/C²),

q₁ and q₂ a=  the charges of the two particles, a

r = e distance between them.

F₁₂ = (9.0 x 10^9 N*m²/C²) * (-2.35 x 10^-6 C) * (-2.35 x 10^-6 C) / (0.100 m)²

= 9.0 N

the force that q₃ exerts on q₁ is :

F₁₃ = (9.0 x 10^9 N*m²/C²) * (-2.35 x 10^-6 C) * (-2.35 x 10^-6 C) / (0.100 m)²

= 9.0 N (to the left)

We now determine the net force on q₁, we add the forces together:

F_net = F₁₂ + F₁₃

= 9.0 N (to the right) + (-9.0 N) (to the left)

= 0 N

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There are 3 resistors in series: R1=32 Ohm, R2-51 Ohm, and R3-10 Ohm.
Determine the equivalent resistance.

Answers

Answer: 93 Ohm

Explanation: The equivalent resistance of three resistors in series can be found by adding up the individual resistances.

R_total = R1 + R2 + R3

R_total = 32 Ohm + 51 Ohm + 10 Ohm

R_total = 93 Ohm

Therefore, the equivalent resistance of the three resistors in series is 93 Ohm.

A modern electric bicycle achieves a 100 mile range per
charge. To improve battery life, an owner decides they only
want to discharge the battery to 25% of the total capacity. If
they have a commute that is 12 miles round trip, how many
round trips can they make before they need to recharge (given
the 25% limit on discharge depth)?

Answers

The remaining battery capacity would be 76%, which is still above the 25% limit on discharge depth.

What is the remaining battery capacity?

If the electric bicycle can go 100 miles on a full charge, and the owner wants to limit the discharge depth to 25%, then they can only use up to 25 miles of the battery's capacity before needing to recharge.

Since the owner's commute is 12 miles round trip, they can make one round trip without depleting the battery more than 25% of its capacity.

Therefore, the owner can make 2 round trips (2 x 12 = 24 miles) before needing to recharge, but they will still have some battery capacity left.

The remaining battery capacity would be (100 - 24)/100 x 100% = 76%, which is still above the 25% limit on discharge depth. So the owner could make a few more round trips before needing to fully recharge the battery.

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A boy fired a 40.0g rock with his slingshot. The rock is in contact with the elastic band for 0.5s and its speed as it leaves the weapon is 60.0m/s. Find the average force exerted by the band on the rock

Answers

Answer: 4.8N

Explanation: Using Force (N) = Mass (Kg) * Acceleration (m/s2)
We know the Mass, but its in grams. convert it into kg.
40g / 1000 = 0.04 KG

Then we need to find the acceleration. We can find it by the given values
acceleration = Delta S / Delta T. Or Change in speed / Change in time
So, 60m\s / 0.5s = 120m\s2

now we can use f=ma
X= 0.04 * 120
X= 4.8N

What is the velocity
at the marked spot
on this rotating disk?
A. -V
B. 0
C. V
V = [?]
V=rw

Answers

The Correct answer is C -v

help plsplsplsplsplsplspls

Answers

Below is the saturation of each solution as listed on the table;

1. unsaturated

2. supersaturated.

3. supersaturated

4. supersaturated

5. unsaturated

6. supersaturated.

How to find the saturation of each solution?

To determine if each solution is saturated, unsaturated, or supersaturated, we need to know the solubility of each substance at 25°C. Here are the approximate solubilities for the substances at 25°C:

Table salt (NaCl): 357 g/L

Sugar (C12H22O11): 2000 g/L (2 g/mL)

Baking soda (NaHCO3): 69 g/L (0.069 g/mL

1. Table salt (NaCl), 38 grams in 200 mL of water:

Solubility at 25°C: 357 g/L * 0.2 L = 71.4 g (maximum amount that can dissolve in 200 mL)

Since 38 g < 71.4 g, this solution is unsaturated.

2. Sugar (C12H22O11), 500 grams in 200 mL of water:

Solubility at 25°C: 2000 g/L * 0.2 L = 400 g (maximum amount that can dissolve in 200 mL)

Since 500 g > 400 g, this solution is supersaturated.

3. Baking soda (NaHCO3), 20 grams in 200 mL of water:

Solubility at 25°C: 69 g/L * 0.2 L = 13.8 g (maximum amount that can dissolve in 200 mL)

Since 20 g > 13.8 g, this solution is supersaturated.

4. Table salt (NaCl), 100 grams in 200 mL of water:

Solubility at 25°C: 357 g/L * 0.2 L = 71.4 g (maximum amount that can dissolve in 200 mL)

Since 100 g > 71.4 g, this solution is supersaturated.

5. Sugar (C12H22O11), 210 grams in 200 mL of water:

Solubility at 25°C: 2000 g/L * 0.2 L = 400 g (maximum amount that can dissolve in 200 mL)

Since 210 g < 400 g, this solution is unsaturated.

6. Baking soda (NaHCO3), 25 grams in 200 mL of water:

Solubility at 25°C: 69 g/L * 0.2 L = 13.8 g (maximum amount that can dissolve in 200 mL)

Since 25 g > 13.8 g, this solution is supersaturated.

The above answers are in reference to the question below;

Substance          Amount of substance in 200 mL of water at 25°C      Saturated, unsaturated, or supersaturated?

Table salt (NaCl)                              38 grams

Sugar (C12H22O11)                        500 grams

Baking soda (NaHCO3)                   20 grams

Table salt (NaCl)                              100 grams

Sugar (C12H22O11)                        210 grams

Baking soda (NaHCO3)                      25 grams

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Which activity can easily eliminate toxins produced by pathogens?
Cooking
Reheating
They cannot be killed

Answers

Cooking is an activity that can easily eliminate toxins produced by pathogens. When food is cooked at a high temperature, it can kill the pathogens that produce toxins and denature the toxins themselves, making them inactive and safe to consume. However, it's important to note that not all toxins produced by pathogens can be eliminated by cooking, and some toxins may remain in the food even after it has been cooked. It's important to practice proper food safety measures, such as washing hands and cooking food thoroughly, to prevent foodborne illness.

As part of a movie stunt, a full-size remote-controlled car is driven horizontally off a 9.81 m tall cliff at 18.34 m/s. How long does it take the car to hit the ground below? time to hit the ground= *Round your answer to the nearest thousandth if necessary.

Answers

Answer:

t = 1.414 seconds

Explanation:

[tex]y_{f} = y_{i} + v_{i}*t +0.5*a*t^2\\y_{f} = y_{i} + 0.5*a*t^2\\(y_{f} - y_{i}) = 0.5*a*t^2\\t = \sqrt{\frac{2*(y_{f}-y_{i})}{a} } \\t = 1.414 seconds[/tex]

Which food groups are represented in this snack?

a plate with bread, grapes, a hard-boiled egg, cheese, cucumber slices, and carrot slices

Grains, protein food, dairy
Grains, protein food, vegetable, fruit
Fruit, grains, dairy
Grains, vegetables, dairy

Answers

a plate with bread, grapes, a hard-boiled egg, cheese, cucumber slices, and carrot slices food groups are represented in this snack

How much protein should I consume each day?

According according to the Demographic Reference Intake report for macronutrients, a sedentary adult should consume 0.36 grammes of animal protein for every pound of weight of their body, or 0.8 grammes of proteins per kilogramme. As a result, the average inactive guy should take around 56 grammes of protein per day, whereas the average sedentary female should consume approximately 46 grammes.

A person can consume too much protein; if it accounts for more than 35% of their daily calories, they may suffer unfavourable repercussions.

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We
describe sound waves in terms of pressure. Given this,
for a standing wave in a tube open at each end, the open
ends of the tube are?

Answers

For a standing wave in a tube open at each end, the open ends of the tube are points of maximum displacement and minimum pressure. At these points, the air molecules in the tube are free to move back and forth, causing the pressure to vary periodically between maximum and minimum values. The points of maximum displacement are called antinodes, while the points of minimum displacement are called nodes. In the case of a tube open at each end, the open ends act as antinodes, since the air molecules at these points are free to move.

Examine the possibilities of isomeric transitions (B or B+) between isotopes 4 Be and 3Li. In your solution assume the mass of Li and Be isotopes is 7.016004 and 7.016929 amu, respectively.

Answers

The mass of the produced isotope 3He is 7.015455244 amu.

What is the mass of the produced isotope?

Isomeric transitions refer to the nuclear decay processes in which an isomer, which is an excited state of a nucleus, undergoes a transition to a lower-energy state by emitting a gamma ray (γ) photon or undergoing a beta decay (β+) process. In the case of isotopes 4Be and 3Li, let's examine the possibilities of isomeric transitions, specifically β+ decay, between them.

Isotope 4Be has an atomic mass of 7.016929 amu, and it decays by β+ emission to a lower-energy state, resulting in the production of an isotope of boron (B), which is denoted as 4Be* → 5B + β+ + νe, where νe represents an electron neutrino.

The mass of the produced isotope 5B can be calculated as follows:

Mass of 4Be* = 7.016929 amu

Mass of β+ particle = 0.000548756 amu (mass of positron or β+ particle)

Mass of νe = 0.0000000000000000010 amu (mass of electron neutrino)

Mass of 5B = Mass of 4Be* - Mass of β+ particle - Mass of νe

= 7.016929 amu - 0.000548756 amu - 0.0000000000000000010 amu

= 7.016380244 amu

So, the mass of the produced isotope 5B is 7.016380244 amu.

On the other hand, isotope 3Li has an atomic mass of 7.016004 amu, and it can undergo β+ decay to a lower-energy state, resulting in the production of an isotope of helium (He), which is denoted as 3Li → 3He + β+ + νe.

The mass of the produced isotope 3He can be calculated as follows:

Mass of 3Li = 7.016004 amu

Mass of β+ particle = 0.000548756 amu (mass of positron or β+ particle)

Mass of νe = 0.0000000000000000010 amu (mass of electron neutrino)

Mass of 3He = Mass of 3Li - Mass of β+ particle - Mass of νe

= 7.016004 amu - 0.000548756 amu - 0.0000000000000000010 amu

= 7.015455244 amu

So, the mass of the produced isotope 3He is 7.015455244 amu.

Comparing the masses of the produced isotopes, we can see that the isomeric transition from 4Be to 5B results in a change in mass by 7.016380244 - 7.016929 = -0.000548756 amu, while the β+ decay from 3Li to 3He results in a change in mass by 7.015455244 - 7.016004 = -0.000548756 amu.

Thus, the mass change is the same for both isomeric transitions.

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A car traveling at 30 mph skids to a stop in 60 meters. If a car travels at 60 mph with the same skid conditions, then what is distance the car skids to come to a stop?

Answers

A car traveling at 60 mph and the same skid conditions will skid to a stop in 240 meters.

What is the distance a car traveling at 60 mph and the same skid conditions will skid to a stop?

The distance a car skids to come to a stop is directly proportional to the square of its speed. This means that if the speed is doubled, the distance it will take to stop will be quadrupled.

Let's use this formula to find the distance the car will skid to come to a stop at 60 mph:

(d1 / d2) = (v1^2 / v2^2)

where:

d1 = distance the car skids at 30 mph = 60 meters

v1 = speed of the car at 30 mph = 30 mph

v2 = speed of the car at 60 mph = 60 mph

d2 = distance the car skids at 60 mph (what we want to find)

Plugging in the values, we get:

(d1 / d2) = (v1^2 / v2^2)

60 / d2 = (30^2 / 60^2)

60 / d2 = 1 / 4

d2 = 4 x 60

d2 = 240 meters

Therefore, the car traveling at 60 mph will skid to a stop in 240 meters.

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I need to know what’s the answers duh

Answers

cardiovascular exercise - the use of the large muscles in the body to perform a continuous activity for at least ten minutes.

ATP - a type of energy required by the body for muscle movement.

oxygen consumption - the amount of oxygen the muscles in the body need in order to produce energy for movement.

steady state - the condition when the muscles of the body are receiving the amount of oxygen they need in order to produce the amount of energy necessary for movement.

oxygen deficit - a state when the muscles are not getting the amount of oxygen they need in order to produce the amount of energy necessary for movement.

EPOC - the extra oxygen a person gets while still breathing hard after stopping exercise.

What is EPOC?

To summarize, when a person completes physical activity, their body continues consuming high levels of oxygen even after finishing exercising.

The additional amount of required oxygen beyond what is needed in a resting state is termed EPOC (excess post-exercise oxygen consumption).

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I don’t understand where to start to solve this problem

Answers

Answer:

just calm down an breath your LOVED without stress

Three 70-kg deer are standing on a flat 200-kg rock that is on an ice-covered pond. A gunshot goes off and the deer scatter, with deer A running at (15m/s)iˆ+(5.0m/s)jˆ , deer B running at (−12m/s)iˆ+(8.0m/s)jˆ , and deer C running at (1.2m/s)iˆ−(18.0m/s)jˆ . What is the velocity of the rock on which they were standing?

Answers

Explanation:

Add all of the velocities together....then the rock will be moving in the OPPOSITE direction according to conservation of momentum

(15 + -12 + 1.2) m/s i = -1.8 m/s i

(5 + 8 + -18 ) m/s j = -5 m/s j      These are the resultant force components  on 210 kg of deer meat

           

-1.8  (210) i   -  5 (210) j    = 200  x  i    +   200 y j  m/s

results in  rock velocities:     1.89 i  m/s      + 5.25  j m/s  

Please tell me if this is incorrect and I will re-evaluate ......

the mass of the velociraptor and cage together is 175 kg. What is the gravitational potential energy added when when the velociraptor and cage is lifted from the ground to a height of 9 m?

Answers

The gravitational potential energy added when the velociraptor and cage is lifted from the ground to a height of 9 m is approximately 15,998.95 joules.

What is Potential Energy?

Potential energy is a form of energy that is stored in an object due to its position or configuration in a system. It is the energy that an object has the potential to possess, or the ability to do work, as a result of its position or state.

The gravitational potential energy (GPE) added when the velociraptor and cage is lifted from the ground to a height of 9 m can be calculated using the formula:

GPE = mgh

Where m is the mass of the velociraptor and cage, g is the acceleration due to gravity (approximately 9.81 m/[tex]s^{2}[/tex]), and h is the height lifted.

Given that the mass of the velociraptor and cage together is 175 kg, and the height lifted is 9 m, we can substitute these values into the formula:

GPE = mgh

GPE = (175 kg) x (9.81 m/[tex]s^{2}[/tex]) x (9 m)

GPE = 15,998.95 J (joules)

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A 75.0-g bullet is fired with a muzzle velocity of 460 m/s from a gun with mass 3.75 kg and barrel length of 66.0 cm.(a) How long is the bullet in the barrel?(b) What is the force on the bullet while it is in the barrel?(c) Find the impulse exerted on the bullet while it is in the barrel.(d) Find the bullet’s momentum as it leaves the barrel

Answers

The bullet is in the barrel for 4.5610^-5 s, experiences a force of 16713 N, an impulse of 0.763 Ns, and has a momentum of mv = 34.5 kg*m/s as it leaves the barrel.

What are the time, force, impulse, and momentum of a bullet fired from a gun with given mass, barrel length, and muzzle velocity

(a) The time the bullet spends in the barrel can be found using the equation for distance traveled by an object with constant acceleration, where the initial velocity is zero and the distance is the barrel length:

d = 1/2 at^2

Solving for time t, we get:

t = √(2d/a)

where a is the acceleration of the bullet as it is propelled out of the barrel. To find the acceleration, we can use the equation for force:

F = ma

where F is the force exerted on the bullet, m is the mass of the bullet, and a is its acceleration. Since the bullet is in the barrel, the force is the force of the expanding gases from the gunpowder. We can find this force using the ideal gas law:

PV = nRT

where P is the pressure of the gases, V is the volume of the barrel, n is the number of moles of gas produced by the gunpowder, R is the ideal gas constant, and T is the temperature of the gases. Solving for P, we get:

P = nRT/V

We can assume that the volume of the barrel remains constant during the firing of the bullet, so we can write:

P = k nT

where k is a constant that depends on the volume of the barrel and the gas constant R. Since the bullet is fired in a fraction of a second, we can assume that the temperature of the gases remains constant, so we have:

P = k n

The force exerted on the bullet is then:

F = PA = k nA

where A is the cross-sectional area of the barrel.

a = F/m = k nA/m = k P A/m = (kRT/V)(πr^2)/m

where r is the radius of the barrel. we get:

a = (k)(8.31 J/molK)(293 K)/(0.00066 m^3)(π(0.0033 m)^2)/(0.075 kg) = 2.4110^7 m/s^2

Plugging this into the equation for time, we get:

t = √(2d/a) = √(20.66 m/2.4110^7 m/s^2) = 4.56*10^-5 s

So the bullet is in the barrel for 4.56*10^-5 s.

(b) The force on the bullet while it is in the barrel is the force exerted by the expanding gases from the gunpowder, which we found to be:

F = k nA

Substituting in the given values, we get:

F = (k)(8.31 J/mol*K)(293 K)/(0.00066 m^3)(π(0.0033 m)^2) = 16713 N

So the force on the bullet while it is in the barrel is 16713 N.

(c) The impulse exerted on the bullet while it is in the barrel is the product of the force and the time:

J = FΔt = (16713 N)(4.5610^-5 s) = 0.763 Ns

So the impulse exerted on the bullet while it is in the barrel is 0.763 N*s.

(d) The momentum of the bullet as it leaves the barrel can be found using the equation:

p = mv

where p is the momentum, m is the mass of the bullet, and v is its velocity. We can find the velocity using conservation of energy, since the gun and bullet

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NEED HELP WITH THIS PHYSICS QUESTION ASAP

Answers

The tension in the cord is approximately 14.6 N.


What do you mean by tension?

Tension is a force that is transmitted through a stretched object, such as a rope, string, or cord. In the case of a phone cord, tension refers to the force that is applied to the cord to keep it taut and stretched. When a transverse wave pulse travels along the cord, it creates variations in tension that propagate through the cord. The magnitude of the tension in the cord is directly related to the speed of the wave and the linear density of the cord. A higher tension will result in a faster wave speed, while a lower tension will result in a slower wave speed.

Here in the Question,

The speed of the wave on the cord can be calculated from the distance it travels and the time it takes:

distance = 4 x 3.08 m = 12.32 m

time = 0.903 s

speed = distance / time = 12.32 m / 0.903 s ≈ 13.65 m/s

The speed of the wave is related to the tension in the cord and its linear density (mass per unit length) by the following equation:

v = √(T/μ)

where v is the speed of the wave, T is the tension in the cord, and μ is the linear density of the cord (mass per unit length).

We can rearrange this equation to solve for T:

T = μv^2

The linear density of the cord can be calculated from its mass and length:

μ = m / L = 0.244 kg / 3.08 m ≈ 0.0792 kg/m

Substituting the values we have into the equation for T:

T = μv^2 = (0.0792 kg/m)(13.65 m/s)^2 ≈ 14.6 N

Therefore, the tension in the cord is approximately 14.6 N.

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An organ pipe closed at one end and open at the other has a length of 0.6 m.
(a) What is the longest possible wavelength for the interfering sound waves that can form a standing wave in this pipe?
(b) What is the frequency associated with this standing wave if the speed of sound

Answers

(a) The longest possible wavelength for the interfering sound waves that can form a standing wave is 2.4 m

b. , the frequency associated with the standing wave in this pipe is 142.9 Hz

How do we calculate?

a.) The longest possible wavelength for the interfering sound waves that can form a standing wave in a pipe closed at one end and open at the other is four times the length of the pipe, or 4L.

L = 0.6 m, so the longest possible wavelength is:

λ_max = 4L = 4 * 0.6 m = 2.4 m

(b)

the frequency associated with the standing wave in this pipe is calculated as

v = fλ

v = 343 m/s

λ = 2.4 m

f = v/λ = 343 m/s / 2.4 m = 142.9 Hz

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