Answer:
v₂ = 1.8 [m/s]
Explanation:
To be able to solve this problem we must raise the principle of conservation and quantity of movement. It is going to study the momentum before and after the firing of the rifle.
P = m*v
where:
P = momentum [kg*m/s]
m = mass [kg]
v = velocity [m/s]
Now we need to analyze the moment before and after the shot.
[tex](m_{1}+m_{2})*v_{1}=-(m_{1}*v_{2})+(m_{2}*v_{3})[/tex]
where:
m₁ = mass of the rifle = 5 [kg]
v₁ = velocity of the rifle and the bullet before firing = 0 (no movement)
m₂ = mass of the bullet = 15 [g] = 0.015 [kg]
v₂ = velocity of recoil [m/s]
v₃ = velocity of the bullet after firing = 600 [m/s]
Now replacing:
[tex](5+0.015)*0 = -(5*v_{2})+(0.015*600)\\9 = (5*v_{2})\\v_{2}=1.8 [m/s][/tex]
Momentum is the product of mass and velocity. The recoil velocity of the rifle weighing 5 kg is 1.8 m/s.
What is conservation of momentum?According to the law of conservation of momentum if two objects are in contact with each other then for that system of the two objects the momentum of the object before will be equal to the momentum of the object after the collision.
GIven to us
Mass of the rifle, M = 5 kg
Mass of the bullet, m = 15 g = 0.015 kg
Velocity of the bullet afterwards, v₂ = 600 m/s
We know that according to the law of conservation of momentum, the momentum of the bullet and riffle before shooting will be equal to the momentum of the bullet and riffle after shooting.
[tex]Mu_1 + mu_1 = Mv_1 + mv_2[/tex]
Since, before shooting the bullet was in the riffle and the velocity of both was 0,
[tex]M(0) + m(0) = Mv_1 + mv_2\\\\-Mv_1 = mv_2\\\\v_1 = -\dfrac{m \times v_2}{M}[/tex]
Substitute the values,
[tex]v_1 = -\dfrac{0.015 \times 600}{5}\\\\v_1 = -1.8\rm\ m/s[/tex]
Thus, the recoil of the rifle is -1.8 m/s, the negative sign denotes that the velocity of recoil was in opposite direction to the bullet.
Hence, the recoil velocity of the rifle weighing 5 kg is 1.8 m/s.
Learn more about Momentum:
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1.
Asthenosphere
a. the liquid layer located between the mantle and the inner
core
2.
Continental crust
b. the inner most solid layer of Earth
3.
Convection currents
the parts of Earth's crust located beneath the ocean that
make up the seafloor
4.
Crust
5.
Density
d. a transition zone beneath the lithosphere that is semi-
fluid, sometimes referred to as the plastic layer
6.
Inner core
e. the hard, rigid outermost layer of Earth
7
Lithosphere
f. all the parts of the Earth's crust that are not beneath the
ocean
8
Mantle
9.
Mesosphere
g the layer that is directly below Earth's crust and is divided
into 3 parts: lithosphere, asthenosphere, and mesosphere
h. the amount of force on a substance
10.
Oceanic crust
1. the solid lower layer of the mantle
11.
Outer core
j. the rigid, solid upper mantle connected to Earth's crust
12
Pressure
ki instrument used to measure earthquake waves
13.
Seismograph
1. the layer of Earth that is split into larger pieces: it floats on
the asthenosphere and moves due to convection currents
14.
Tectonic plates
m. the measure of mass per volume; the number of particles
in a given space
in movement of liquid and gaseous matter in a circular
motion caused by a difference in temperature; warm rises
and cool sinks, causing a circular current
Answer:
dsfghrtykuyjfcjuktj,ilyk
Explanation:
jgbnm,g bcm
If an object has a weight of 4050 N near the surface of the Earth, what is its mass?
Answer:
417.5 kg
Explanation:
Since the gravitational for of attraction F, equals the weight of the object W when its close to the earth, F = GMm/R² = W = mg where m = mass of object and g = acceleration due to gravity close to the earth = 9.8 m/s².
g = GM/R² where g = acceleration due to gravity close to the earth, G = universal gravitational constant = 6.67 × 10⁻¹¹ Nm²/kg², M = mass of earth = 5.927 × 10²⁴ kg and R = radius of earth = 6.4 × 10⁶ m
So, g = GM/R²
= 6.67 × 10⁻¹¹ Nm²/kg² × 5.927 × 10²⁴ kg/(6.4 × 10⁶ m)²
= 39.53 × 10¹³ Nm²/kg ÷ 40.96 × 10¹² m²
= 9.65 N/kg
≅ 9.7 N/kg
= 9.7 m/s²
Since W = 4050 N and W = mg
m = W/g = 4050 N/9.7 m/s²
= 417.53 kg
≅ 417.5 kg
So, the mass of the object is 417.5 kg
Which of the following substances can be separated into several elements?
A. nitrogen B. zinc
C. air D. aluminum
Answer: C
Explanation: Air
Hope this helps! Brainlist Plz?
The following substances can be separated into several elements is the air because consisting of a mixture of several gases, such as nitrogen, oxygen, carbon dioxide and noble gases.
What is air composed of?Atmospheric air is made up of a mixture of several gases, such as nitrogen, oxygen, carbon dioxide and noble gases. Oxygen and nitrogen are the most abundant gases, with the other gases being found in smaller amounts.
So the only element that we can separate into is air, because when performing the separation we find oxygen, nitrogen, carbon dioxide and noble gases.
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I am traveling at 100 m/s, I hit the brakes and my speed goes down to 50 m/s. It took 30 seconds to slow down. What was my acceleration?
A.5 m/s2
B.-5 m/s2
C.1.7 m/s2
D.-1.7 m/s2
Answer:
D. -1.7m/s2
Explanation:
the car starts at 100m/s so this is the initial velocity. It ends at 50m/s so this is the final velocity. it took 30 seconds so the time is 30.
[tex]v_{f}=v_{i}+at[/tex]
[tex]a=\frac{\left(v_{f}-v_{i}\right)}{t}[/tex]
[tex]a=\ \frac{\left(50-100\right)}{30}[/tex]
[tex]a=-1.66666666667[/tex][tex]m/s^{2}[/tex]
Therefore, the answer is D
role play pokimon only
Answer:
huh
Explanation:
im so confused
Answer:
eevee
Explanation:
help!! i need to know which letter has the highest speed, the middlest speed and the lowest speed!!
Answer:
From highest speed to lowest speed:
A, C, B
Explanation:
On a position time graph, the slope of a line would represent the velocity, since the rate of change represents how many meters traveled in the given time.
The larger the slope, the faster the velocity; the steeper the line, the faster the speed.
Since line B is negative, you know that velocity is negative so it automatically has the lowest speed.
Out of lines A and C, since A is steeper, you know that A has a faster speed.
In conclusion:
A is the fastest
C is the middle
B is the slowest
What is 3,278,000 as scientific notation?
Use the drop-down menus to determine which state of matter is described in each statement.
The atoms in a
are closely packed, but able to slide past each other.
The atoms in a
spread as far apart as possible.
A
has a definite shape and volume.
The shape of a
can change, but the volume is definite.
Answer:
Explanation:
There are three states of matter; solid, liquid and gaseous states.
The solid state of matter has it's particles tightly packed with very restricted or no movement within the molecule hence the reason for it's definite shape.
The liquid state of matter has it's particles with a free movement (better than solid but not as free as gases) within the molecule hence it's particles are loosely packed within the molecule. Hence, they (liquids) assume the shape of the container in which they are stored and they move freely when released from the container.
The gaseous state of matter has it's particles totally loosely packed as a result of it's particles moving freely and colliding against one another.
Thus, we can use the above descriptions to answer the statements from the question.
1) The atoms in a ----- are closely packed, but able to slide past each other. Answer: From the description above, it can be deduced that the atoms here are in a solid because the particles within a solid are closely packed.
2) The atoms in a -------- spread as far apart as possible.
Answer: The atoms here are in gaseous form because, as described earlier, they are loosely packed and can thus be as far apart as possible.
3) A ----- has a definite shape and volume.
Answer: As described earlier, a solid substance would have a definite shape and volume because it's particles are tightly packed.
4) The shape of a ----- can change, but the volume is definite.
Answer: The substance here is a liquid because the particles are free (but not as free as gases) and would have a definite volume but will assume the shape of the any container they are placed in (hence they have an irregular shape).
Answer:
The atoms in a
✔ liquid
are closely packed, but able to slide past each other.
The atoms in a
✔ gas
spread as far apart as possible.
A
✔ solid
has a definite shape and volume.
The shape of a
✔ liquid
can change, but the volume is definite.
Explanation:
Falling Faster
Imagine that you are standing on the observation deck of the Empire
State Building. You drop a hammer and a feather at the same time
over the edge of the building.
1. Will the hammer or the feather reach the ground first? Explain.
per anstre here
2. Why do the hammer and the feather fall to the ground?
1 point
Which will hit the ground first, if both objects are dropped from the same
height at the same time IN AIR?*
O an icicle
O a snow flake
O both hit the ground at the same time
Answer:
an icicle
Explanation:
and icicle has less air resistance compared to that of a snow flake
PLEASE ANSWER ASAP
The thermal energy produced by an electric heater in three minutes is used to melt wax. The
solid wax is initially at its melting point of 60 0C.
The specific latent heat of the wax is 220 J / g. The heater supplies 7700 J of thermal energy to
the wax. Some of the wax melts.
How much wax melts?
Answer:
m = 35 g = 0.035 kg
Explanation:
The amount of heat required by a specific mass of wax to be melted at its melting point can be given by the following formula:
[tex]Q = mL[/tex]
where,
Q = Heat Supplied by the Heater = 7700 J
m = mass of wax melted = ?
L = Latent Heat of Fusion of Wax = 220 J/g
Therefore,
[tex]7700\ J = m(220\ J/g)\\m = \frac{7700\ J}{220\ J/g}\\\\[/tex]
m = 35 g = 0.035 kg
I REALLY NEED HELP ON PHYSICS!!!
10 POINTS
Answer:
25.021 sec
Explanation:
v=d/t
-2.33= - 58.3/t
t= - 58.3/-2.33
t=25.021 sec
how does a plane mirror work
Answer:
Plane mirrors work because the light rays create a virtual image behind the mirror. Light rays from the object strike the mirror and reflect according to the law of reflection. ... Therefore, our eye and brain track the light rays backward to a position from which they appear to have come.
A car is traveling at an average speed of 120km/h.how long will it take to travel between two station 525km apart?
Answer:
Time taken 4 hrs. 38 minutes
Explanation:
As speed = distance/time interval
So time taken = 4.38
speed=distance/time
we know the speed and we know the distance so we can calculate the time
120km/h=525km/time
time=525km/120km/h=4.375hours or 4 hours and 22 minutes and 30 seconds
A metal has 4000kg in the volume of 2m3. what is its density
Answer:
2000 kg/m³Explanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\[/tex]
From the question we have
[tex]density = \frac{4000}{2} = 2000 \\ [/tex]
We have the final answer as
2000 kg/m³Hope this helps you
please answer it fast and correctly
Answer:
(1) chess is played by him
(2) The great black engine was seen by her
(3) Arrangements for functions had been made by him
(4) A meeting is being attended by Raman
= when the last of the guests left, I went back into the hall to look for my mobile phone that I had kept on the table, I found that my mobile phone was not there. I felt freaked and I asked to every member of my family about my phone, but nobody had idea about that. then there was a phone call made by my uncle to my father, that his son had taken the mobile by mistake. After sometime, My uncle came to return my mobile. Then I took a sigh of relief .
please mark me as a brainelist
Hello, please help!
Is methane an element, compound, or mixture?
Is Carbon Dioxde an element, compound, or mixture?
Answer:
I think carbon dioxide is a mixuture and Methane is a compound
Explanation:
John wants a new video tape and a new shirt, but he only has $12.00. He buys the video tape and gets $0.52 change. What was his opportunity cost?
Answer:
You have the answer in your comments. I will be copying it so your question doesn't get deleted.
The answers is $0.58
$11.48
the video tape
the new shirt
Which has a charge with the greatest magnitude?
An object with charge 0
An object with charge -2
An object with charge-3
An object with charge +2
Answer:
an object with charge -3
How does a decrease in thermal energy affect the temperature of each state of matter?
A 2.0 kg block is released from rest at the top of a curved incline in the shape of a quarter of a circle of radius R = 3.0 m. The block then slides onto a horizontal plane where it finally comes to rest a distance D from the beginning of the plane. The curved incline is frictionless, but there is a coefficient of friction, μ = 0.5, on the horizontal plane. Determine the velocity of the box at maximum kinetic energy
The block has maximum kinetic energy at the bottom of the curved incline. Since its radius is 3.0 m, this is also the block's starting height. Find the block's potential energy PE :
PE = m g h
PE = (2.0 kg) (9.8 m/s²) (3.0 m)
PE = 58.8 J
Energy is conserved throughout the block's descent, so that PE at the top of the curve is equal to kinetic energy KE at the bottom. Solve for the velocity v :
PE = KE
58.8 J = 1/2 m v ²
117.6 J = (2.0 kg) v ²
v = √((117.6 J) / (2.0 kg))
v ≈ 7.668 m/s ≈ 7.7 m/s
The velocity of the block at maximum kinetic energy is 7.668 m/s.
From potential energy formula,
PE = m g h
Where,
m = mass = 2 kg
g -gravitational acceleration = 9.8 m/s²
h - height = 3 m
Put the values in the formula,
PE = (2.0 kg) (9.8 m/s²) (3.0 m)
PE = 58.8 J
Since,
PE = KE
Thus,
58.8 J = 1/2 m v ²
117.6 J = (2.0 kg) v ²
v = √((117.6 J) / (2.0 kg))
v = 7.668 m/s
Therefore, the velocity of the block at maximum kinetic energy is 7.668 m/s.
To know more about potential energy
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The vertical (top to bottom) parts of periodic table are called groups or
I really need help on this I don’t understand it
1: 15m
2: 56m/s
3: 34.5m
Sorry if these are incorrect.
what type of process occurs at constant pressure
Answer:
isobaric process
Explanation:
An isobaric process occurs at constant pressure. Since the pressure is constant, the force exerted is constant and the work done is given as PΔV.
Answer:
well for me I think it's
Explanation:
Charles law in gas laws
What element conducts heat and electricity:
Helium
Potassium
Sulfur
Copper
Arsenic
what is the correct answer?
Answer:
Option (4)
Explanation:
Given polynomial is,
P(x) = 1x³ - 7x² + 2x + 40
If (x - 5) is a factor of the given polynomial,
Synthetic division by x = 5,
5 | 1 -7 2 40
↓ 5 -10 -40
1 -2 -8 0
Therefore, factored form of the polynomial will be,
P(x) = (x - 5)(x²- 2x - 8)
Now we further factorize the expression (x² - 2x - 8),
(x² - 2x - 8) = x²- 4x + 2x - 8
= x(x - 4) + 2(x - 4)
= (x + 2)(x - 4)
Now fully factored form of the polynomial will be,
P(x) = (x - 5)(x + 2)(x - 4)
Therefore, remaining factors of the polynomial other than (x - 5) are (x - 4)(x + 2)
Option (4) will be the correct option.
A student kicks a ball of 1 kg with a velocity of 13ms. The contact is 0.2 sec. Find the force
Answer:
65 N
Explanation:
Assuming that the ball was at rest hence initial momentum = 0
Final momentum = mv = 1Kg × 13 ms-1 = 13 kgms-1
But
Ft= mv according to Newton's law
F= mv/t
F= 13kgms-1/0.2s
F= 65 N
Answer:
65 N
Explanation:
Given that :
Mass of ball = 1kg
Velocity = 13m/s
Time = 2 seconds
Using the relation :
Force = (mass * change in velocity) / time
The change in momentum of the ball :
Momentum = mass * change in velocity
Velocity change = (13 - 0) ; Given that initial velocity = 0 (at rest)
Momentum = 1kg * 13m/s
Momentum = 13 kgm/s
Therefore, the force, F equals;
F = change in momentum / time
F = 13kgm/s ÷ 0.2 s
Hence, Force, F = 65N
A 4000-kg car bumps into a stationary 6000kg truck. The Velocity of the car before the collision was +4m/s and -1m/s after the collision. What is the velocity of the truck?
Answer:
The velocity of the truck is 3.33 m/s
Explanation:
Law Of Conservation Of Linear Momentum
The total momentum of a system of bodies is conserved unless an external force is applied to it. The formula for the momentum of a body with mass m and velocity v is
P=mv.
If we have a system of bodies, then the total momentum is the sum of the individual momentums:
[tex]P=m_1v_1+m_2v_2+...+m_nv_n[/tex]
If some collision occurs, the velocities change to v' and the final momentum is:
[tex]P'=m_1v'_1+m_2v'_2+...+m_nv'_n[/tex]
In a system of two masses:
[tex]m_1v_1+m_2v_2=m_1v'_1+m_2v'_2[/tex]
There are two objects: The m1=4000 Kg car and the m2=6000 Kg truck. The car was moving initially at v1=4 m/s and the truck was at rest v2=0. After the collision, the car moves at v1'=-1 m/s. We need to find the velocity of the truck v2'. Solving for v2':
[tex]\displaystyle v'_2=\frac{m_1v_1+m_2v_2-m_1v'_1}{m_2}[/tex]
Substituting:
[tex]\displaystyle v'_2=\frac{4000*4+6000*0-4000(-1)}{6000}[/tex]
[tex]\displaystyle v'_2=\frac{16000+4000}{6000}[/tex]
[tex]\displaystyle v'_2=3.33[/tex]
The velocity of the truck is 3.33 m/s
A 45kg skater and a 60kg skater are standing still, holding hands on frictionless ice. They push away from each other in opposite directions. If the 45kg skater was measured traveling at 3.5 m/s, how fast was the 60 kg skater traveling?
Answer:
The 60 kg skater is traveling at 2.63 m/s in the opposite direction from the 45 kg skater.
Explanation:
The velocity of the 60 kg skater can be found by conservation of linear momentum:
[tex]P_{i} = P_{f}[/tex]
[tex]m_{a}v_{i_{a}} + m_{b}v_{i_{b}} = m_{a}v_{f_{a}} + m_{b}v_{f_{b}}[/tex] (1)
Where:
[tex]m_{a}[/tex]: is the mass of the first skater = 45 kg
[tex]m_{b}[/tex]: is the mass of the second skater = 60 kg
[tex]v_{i_{a}}[/tex]: is the initial speed of the first skater = 0 (he is standing still)
[tex]v_{i_{b}}[/tex]: is the initial speed of the second skater = 0 (he is standing still)
[tex]v_{f_{a}}[/tex]: is the final speed of the first skater = 3.5 m/s
[tex]v_{f_{b}}[/tex]: is the final speed of the second skater =?
By replacing the above values into equation (1) and solving for [tex]v_{f_{b}}[/tex] we have:
[tex]0 = m_{a}v_{f_{a}} + m_{b}v_{f_{b}}[/tex]
[tex]v_{f_{b}} = \frac{-m_{a}v_{f_{a}}}{m_{b}} = \frac{-45 kg*3.5 m/s}{60 kg} = -2.63 m/s[/tex]
The minus sign is because the 60 kg skater is moving in the opposite direction from the other skater.
Therefore, the 60 kg skater is traveling at 2.63 m/s in the opposite direction from the 45 kg skater.
I hope it helps you!
Which of the four spheres is this pictures/scene?
A) hydrosphere
B) biosphere
C) geosphere
D) atmosphere
Answer:
I Believe the answer is
[tex]D. \: \: atmosphere[/tex]
Explanation:
I hope how this helps!
