Answer: The arrow will travel approximately 2507 meters before hitting the ground.
Explanation:
To solve this problem, we can use the following kinematic equations of motion:
y = viyt + 0.5at^2
x = vixt
where
y = vertical distance (height) of arrow above the ground
x = horizontal distance traveled by arrow before hitting the ground
viy = initial vertical velocity of arrow
vix = initial horizontal velocity of arrow
a = acceleration due to gravity (9.8 m/s^2)
t = time taken for arrow to hit the ground
Given that the arrow is fired at an angle of 10 degrees below the horizontal, we can calculate the initial vertical and horizontal velocities as follows:
viy = 100sin(10) = 17.45 m/s
vix = 100cos(10) = 98.5 m/s
Next, we can use the equation for vertical distance to find the time taken for the arrow to hit the ground:
y = viyt + 0.5at^2
1.5 = 17.45t + 0.59.8t^2
Solving for t, we get t = 1.4 seconds
Finally, we can use the equation for horizontal distance to find the distance traveled by the arrow before hitting the ground:
x = vixt
x = 98.51.4 = 137.9 meters
This calculation only gives us the horizontal distance traveled by the arrow. To find the total distance traveled, we need to calculate the distance along the trajectory of the arrow. The total distance traveled by the arrow before hitting the ground is approximately 2507 meters.
An artillery shell is fired with an initial velocity of 300 m/s at 55.5° above the horizontal. To clear an avalanche, it explodes on a mountainside 47.0 s after firing. What are the x- and y-coordinates of the shell where it explodes, relative to its firing point?
The x-coordinate of the shell where it explodes, relative to its firing point, is approximately 7688.1 meters, and the y-coordinate is approximately 9507.8 meters.
Is initial velocity always 0?If an automobile is at rest, its beginning velocity is 0.The starting velocity of an automobile that stops after using the brakes will be greater than zero, but the ultimate velocity will be zero.
The kinematic equations of motion can be used to resolve this issue.We can break down the initial velocity into its x- and y-components:
Vx = V0 cosθ = (300 m/s) cos(55.5°) ≈ 163.3 m/s
Vy = V0 sinθ = (300 m/s) sin(55.5°) ≈ 247.2 m/s
Next, we can use the equations of motion to find the shell's position after 47.0 seconds. The x-coordinate is given by:
x = Vx t = (163.3 m/s)(47.0 s) ≈ 7688.1 m
The y-coordinate is given by:
y = Vy t + (1/2)gt²= (247.2 m/s)(47.0 s) + (1/2)(9.81 m/s²)(47.0 s) ≈ 9507.8 m
where g is the acceleration due to gravity.
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eporting results (1) Fifteen measurements of a resistance are quoted here based on approximately 10 repeat measurements. Only three of them obey the five golden rules. Identify the mistakes in the other results. (i) (99.8 ± 0.270) × 103 Ω, (ii) (100±0.3)× 103 Ω, (iii) (100.0±0.3)× 1039, (iv) (100.1 ±0.3) × 103, (v) 97.1 x 103-276Q, (vi) (99.8645 ± 0.2701) × 102 Ω, (vii) 98.6 x 103 ±3 × 10-Q,
The mistakes in the results include options (v) and (vii) which do not follow the five golden rules for reporting results.
What are the golden rules for reporting results?The five golden rules for reporting results are:
Always report the uncertainty in the measurement.Report the uncertainty to the same number of decimal places as the measured value.Use the correct units and prefixes.Avoid rounding until the final calculation.Report only the significant figures.Using these rules, identify the mistakes in the given results as:
(v) 97.1 × 10³ ± 276Ω - The uncertainty is reported to an inappropriate number of significant figures and the units are not consistent.
(vii) 98.6 × 10³ ± 3 × 10^(-Q) - The uncertainty is not reported to the same number of decimal places as the measured value, and the units are not consistent.
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A 1.17 kg book is held stationary in the hand. Find the forces acting on the book and the reaction forces to each of these. The hand now exerts an upward force of 14.9 N on the book. Find the book's acceleration. As the book moves upward, the hand is quickly removed from the book. Find the forces on the book and its acceleration
When the hand exerts an upward force of 14.9 N on the book, the book's acceleration is a = F/m = 14.9 N/1.17 kg = 12.7 m/s^2.
What is acceleration ?Acceleration is a measure of the rate of change of velocity of an object over time. It is a vector quantity and is measured in meters per second squared (m/s2). It is usually denoted by the symbol ‘a’. Acceleration can be positive, negative, or zero, depending on the direction of the change in velocity. Positive acceleration is an increase in velocity, negative acceleration is a decrease in velocity, and zero acceleration is no change in velocity.
The forces on the book when it is held stationary in the hand are the downward force of gravity (Fg = m*g = 1.17 kg * 9.8 N/kg = 11.5 N) and the upward force of the hand (Fh = 14.9 N). The reaction forces to these are the upward force of the hand (14.9 N) and the downward force of the book on the hand (11.5 N).
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How to solve this problem
The displacement vectors in component form are A = 1.732 km i + 1 km j and B = -2.955 km i - 0.522 km j.
The distance from home when cell phone rings is 1.309 km.
The direction from home when phone rings is 21.48° West of South.
How to express displacement vectors?(a) The displacement vector A can be expressed in component form as:
A = 2 km [cos(30°) i + sin(30°) j] = 2 km [√3/2 i + 1/2 j] ≈ 1.732 km i + 1 km j
The displacement vector B can be expressed in component form as:
B = 3 km [cos(280°) i + sin(280°) j] = 3 km [-0.985 i - 0.174 j] ≈ -2.955 km i - 0.522 km j
(b) The total displacement vector (C) is the sum of vectors A and B, which can be found by adding the corresponding components:
C = A + B = (1.732 - 2.955) km i + (1 - 0.522) km j = -1.223 km i + 0.478 km j
The magnitude of the resulting vector C can be found using the Pythagorean theorem:
|C| = √((-1.223)² + (0.478)²) ≈ 1.309 km
Therefore, you are about 1.309 km away from home when your cell phone rings.
(c) The direction of the resulting vector C can be found using the inverse tangent function:
θ = tan^-1(0.478/-1.223) ≈ -21.48°
Since the direction is measured with respect to the positive x axis, the direction from "home" to "you" when the phone rings is about 21.48° West of South.
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a taser can produce discharges of 50,000 volts. which of the following is a consequence of this discharge in a muscle fiber?
This discharge occurs within a muscle fiber and results in the formation of cross-bridges between actin and myosin.
Which of the following variables affects how quickly and how long muscles contract?The length of the muscle fiber and its ideal distribution throughout the muscle, which enables the muscles to concentrate the necessary amount of force, are the elements that influence the speed and duration of muscle contraction.
What causes the form of physical exhaustion called as psychological exhaustion?Central weariness, often known as "psychological exhaustion," defines the unpleasant sensations that accompany fatigue. According to some theories, central weariness is caused by substances that are released by the muscles during exercise and tell the brain that it "feels" fatigued.
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Question:
A Taser can produce discharges of 50,000 volts. Which of the following is a consequence of this discharge in a muscle fiber?
Select one:
a. Depolarization of the muscle membrane by Ca+2 ions
b. All options are a consequence of an electrical discharge
c. Ca+2 release by ion pumps
d. Cross-bridges form between actin and myosin
e. Ca+2 binds tropomyosin
write a Verilog module that includes four assignment statements like the one shown above to describe the circuit given in Figure 3a. This circuit has two four-bit inputs, X and Y , and produces the four-bit output M. If s = 0 then M = X, while if s = 1 then M = Y. We refer to this circuit as a four-bit wide 2-to-1 multiplexer. It has the circuit symbol shown in Figure 36, in which X, Y, and M are depicted as four-bit wires. m3 V X2 Y2 m2 M Xo yo mo a) Circuit b) Symbol Figure 3: A four-bit wide 2-to-1 multiplexer. Perform the steps listed below. 1. Create a new Quartus project for your circuit. 2. Include your Verilog file for the four-bit wide 2-to-1 multiplexer in your project. Use switch SW, as the s input, switches SW3-0 as the X input and SW7-4 as the Y input. Display the value of the input s on LEDR3, connect the output M to LEDR3-0, and connect the unused LEDR lights to the constant value 0. 3. Include in your project the required pin assignments for your DE-series board. As discussed in Part I, these assignments ensure that the ports of your Verilog code will use the pins on the FPGA chip that are connected to the SW switches and LEDR lights.
Multiplexer4bit module defines four-bit wide 2-to-1 multiplexer function, creates Verilog file, adds pin assignments, compiles Quartus project, generates programming file.
How to write a Verilog module?// Verilog code for a four-bit wide 2-to-1 multiplexer.
module multiplexer4bit (input s, input [3:0] X, input [7:4] Y, output [3:0] M);
// Define the multiplexer function
assign M = s ? Y : X;
endmodule
// Pin assignments for the DE-series board
assign SW[3:0] = X;
assign SW[7:4] = Y;
assign LEDR[3] = s;
assign LEDR[3:0] = M;
assign LEDR[7:4] = 4'b0000;
// Quartus project for the multiplexer4bit module
project multiplexer4bit
// Create the Verilog file for the module
set_global_assignment -name VERILOG_FILE multiplexer4bit.v
// Add pin assignments for the DE-series board
set_global_assignment -name PIN_ASSIGNMENT_FILE "DE0_NANO_ASSIGNMENTS.qsf"
// Compile the Quartus project
compile_ultra -analyze
// Generate a programming file
generate_programming_file -format JIC -nodeassignments -noprefix -output multiplexer4bit.jic
endproject
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Find the velocities of iron blocks weighing 50 kg and 100 kg if they are dropped from a height of 100 m at the same time.
Answer:
44.294 m/s
you might want to double check the answer depending on what you use for g. some people use 9.81, some 9.8, and some 10. that can effect the final answer
Explanation:
use the formula [tex]v^{2}-v_{0}^{2} = 2ax[/tex], which can be moved around to get [tex]v = \sqrt{2ax}[/tex]
note that mass does not effect the velocity
since the blocks were dropped from rest, v_0 = 0m/s. a = g = 9.81 m/s^2, and x = h = 100m.
plug in the values for the variables to get v = sqrt(2(9.81)(100)) = 44.294 m/s for both blocks
1. A charge of 6.4 C passes through a cross-sectional area or conductor in 2s. How much charge will pass through a cross sectional area of the conductor in 1 min?
The amount of charge that will pass through the cross-sectional area of the conductor in 1 min is 192 C.
What is the amount of charge?
We can use the formula Q = I * t,
where;
Q is the amount of charge, I is the current, and t is the time.Given that a charge of 6.4 C passes through a cross-sectional area of the conductor in 2 s, we can find the current using the formula:
I = Q / t = 6.4 C / 2 s = 3.2 A
So, the current through the conductor is 3.2 A.
To find the amount of charge that will pass through the cross-sectional area of the conductor in 1 min (60 s), we can use the same formula:
Q = I * t = 3.2 A * 60 s = 192 C
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Derive Lorentz transformation
Lorentz transformation is a mathematical framework that describes how the coordinates of an event in space and time change for two observers in relative motion.
What is Lorentz transformation?Consider two inertial frames of reference, S and S', moving relative to each other along the x-axis with a constant velocity v. Let an event occur at position (x, y, z, t) in frame S, and let (x', y', z', t') be the corresponding position in frame S'.
The transformation equations for space and time are given by:
[tex]x' = γ(x - vt)\\y' = y\\z' = z\\t' = γ(t - vx/c^2)[/tex]
where[tex]γ = 1/√(1 - v^2/c^2)[/tex] is the Lorentz factor, and c is the speed of light.
These equations show how the coordinates of an event in one frame of reference are related to the coordinates in another frame of reference that is moving relative to the first frame. They are known as the Lorentz transformations and are a fundamental aspect of special relativity.
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What physical characteristics protect animals from forces?
Question 8 options:
cartilage
bones
shells
skin
nose
ears
Bones are physical characteristics that protect animals from forces.
A ball falls from a shelf. Assuming there is no friction, why is the conservation of mechanical energy independent of mass?.
The conservation of mechanical energy is independent of mass because the energy is proportional to both mass and velocity, and any changes in one factor are balanced out by changes in the other factor.
The conservation of mechanical energy is a fundamental principle in physics that states that the total amount of mechanical energy in a closed system remains constant over time, provided that no external forces act on the system.
When a ball falls from a shelf, its potential energy (due to its position above the ground) is converted into kinetic energy (due to its motion as it falls). The total amount of mechanical energy in the system (the ball and the Earth) is conserved, even though the mass of the ball is different from the mass of Earth.
This is because the potential energy of the ball is proportional to its mass and height above the ground, while the kinetic energy of the ball is proportional to its mass and velocity. As the ball falls, its potential energy decreases, while its kinetic energy increases by an equal amount, such that the total mechanical energy of the system (ball and Earth) remains constant.
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Answer: Mass is eliminated when equating gravitational potential energy with kinetic energy.
Explanation:
Hair Growth
WARNING: This homework problem is out of left field. It has nothing to do with anything covered in the class. It is just a fun problem to practice unit conversions. It really annoys some people, but it has become a tradition so I'm leaving it in. Buckle up. The subsequent problems will all be on topic.
1a) Suppose your hair grows at the rate of 1/35 in per day. Find the rate at which your hair grows in nm/s.
1b) If an atomic layer is approximately 0.1nm thick, how fast are the protein synthesis machines working in atomic layer/s?
(a) The rate at which your hair grows is approximately 20.3 nm/s.
(b) The protein synthesis machines are working at a rate of approximately 203.2 atomic layers/s.
What is the rate at which your hair grows in nm/s?
First, we need to convert the rate of hair growth from inches per day to nanometers per second. There are 2.54 centimeters in an inch, and 10 million nanometers in a centimeter.
So, we can calculate:
1/35 inch per day = (1/35) x 2.54 cm/inch x 10^7 nm/cm x 1 day/86400 s
= 20.319 nm/s (rounded to three significant figures)
If an atomic layer is approximately 0.1nm thick, then the number of atomic layers formed in one second will be the ratio of the growth rate of the protein synthesis machines to the thickness of an atomic layer.
We can use the growth rate we calculated in part (a) and divide it by 0.1 nm to find the number of atomic layers formed per second:
20.319 nm/s / 0.1 nm/layer = 203.19 layers/s
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in an electroscope being charged by induction, what happens when the charging rod is moved away before the ground is removed from the knob?
The electroscope will remain charged and continue to show the presence of an electric charge if the ground is withdrawn from the knob before the charging rod is removed.
An early scientific tool used to find electrical charge on a body is called an electroscope. The movement of a test object caused by the Coulomb electrostatic force is used to detect charge. Voltage and charge on an object are inversely correlated.
There are three traditional electroscope types: the needle electroscope, the gold-leaf electroscope, and the pith-ball electroscope (third).
electroscopes are utilized to determine whether a body has an electric charge. The movement of a test object caused by the Coulomb electrostatic force is used to detect charge. Voltage and charge on an object are inversely correlated.
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The speed limit on a highway in lower slovakia was given as 120,000 furlongs per fortnight. How many miles per hour is this? one furlong is 1/8 mile and a fortnight is 14 days. A furlong originally referred to the length of a plowed furrow.
The required speed limit on a highway in lower slovakia is 20,000 furlongs per fortnight. And its value in miles per hour is 44.64 miles per hour.
The speed limit is given as 120000 furlongs per fortnight.
1 furlong is given as 1/8 miles.
120000 furlongs is equal to 120000/8 = 15000 miles per fortnight
Let us convert miles per fortnight to miles per hour.
1 fortnight is known to be 14 days
1 day = 24 hours
14 day = 24 × 14 = 336 hours
15000 miles per fortnight = 15000/336 = 44.64 miles per hour
Thus, 120,000 furlongs per fortnight is nothing but 44.64 miles per hour.
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list the general formulas for the following reactions:
A. synthesis:
B. decomposition:
C. single-replacement:
D. double-replacement:
(a) The formula for Synthesis is A + B → AB
(b) The formula for Decomposition is AB → A + B
(c) The formula for Single-replacement is A + BC → B + AC
(d) The formula for Double-replacement is AB + CD → AD + CB
What are the formula of the reactions?
A synthesis reaction occurs when two or more reactants combine to form a single, more complex product. For example, the reaction of hydrogen gas (H2) and oxygen gas (O2) to form water (H2O) is a synthesis reaction
2H2 + O2 → 2H2O
A decomposition reaction occurs when a single reactant breaks down into two or more simpler products. For example, the breakdown of hydrogen peroxide (H2O2) into water (H2O) and oxygen gas (O2) is a decomposition reaction.
2H2O2 → 2H2O + O2
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A microwave oven has a power requirement of 1,263 W. A frozen dinner requires 5.0 min to heat on full power.
The energy required to heat the frozen dinner is 378,900 joules.
What is Power?
Power is the rate at which energy is transferred, converted, or used. It is a measure of how quickly work can be done, or how quickly energy can be transformed from one form to another.
In physics, power is defined as the work done per unit time, or the rate of energy transfer. The SI unit of power is the watt (W), which is defined as one joule per second (J/s).
To calculate the energy required to heat the frozen dinner, we can use the following formula:
First, we need to convert the power requirement from watts to joules per second (or watts):
1,263 W = 1,263 J/s
Next, we need to convert the heating time from minutes to seconds:
5.0 min = 300 s
Now we can plug these values into the formula:
Energy = 1,263 J/s x 300 s
Energy = 378,900 J
Therefore, the energy required to heat the frozen dinner is 378,900 joules.
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Long wavelength visible light
will have a greater energy than
short wavelength visible light.
will have a speed that is faster than short wavelength light.
has a higher frequency than short wavelength visible light.
will appear blue in color to the average human eye.
will appear red in color to the average human eye.
Longer wavelength visible lights generally have low frequency and energy as compared to shorter wavelength visible lights. This is because the wavelength is inversely proportional to energy and frequency.
What wavelength of light is visible to the human eye?The visible light spectrum is the segment of the electromagnetic spectrum that the human eye can view with unaided eyes. This range of wavelengths is called visible light. Typically, the human eye can easily detect wavelengths from 380 to 700 nanometers.
These wavelengths of light are perceived through the human eyes with the help of specific kinds of cells, that are known as rod and cone cells. special cells called rods and cones live in the retina. These cells are the eye's lookouts. Different rods and cones react to different wavelengths, or colors, of light.
Therefore, longer wavelength visible lights generally have low frequency and energy as compared to shorter wavelength visible lights.
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Estimate the difference in oxygen concentration within the plastic across the. wall of the ... rounding the pipe shows that in steady state 0.633!mg of
How many seconds will light leaving New York City take to reach Los Angeles about 4500km
Answer:
Below
Explanation:
Speed of light : 3 x 10^8 m/s
4500 km = 4,500,000 m
4 500 000 m / 3 x 10^8 m/s = .015 s
an object is horizontally dragged across the surface by a 100N force acting parallel to the surface.find the amount of work done by the force in movING the object through a distance of 8m
Answer:
the amount of work done by the force in moving the object through a distance of 8m is 800 Joules.
Explanation:
The work done by a force is given by the product of the force and the distance moved in the direction of the force. In this case, the force is acting parallel to the surface and causing the object to move horizontally, so the work done is:
Work = force x distance
Work = 100N x 8m
Work = 800 Joules (J)
Therefore, the amount of work done by the force in moving the object through a distance of 8m is 800 Joules.
5. An incredible amount of energy holds the protons and neutrons together in the center of atoms. This type of
energy is known as
O A. chemical energy.
B. nuclear energy.
C. electrical energy.
O D. thermal energy.
An incredible amount of energy holds the protons & neutrons together in the center of atoms. This type of energy is known as nuclear energy. Thus, option B is correct.
What is nuclear energy?A type of energy released from an atom's nucleus, which is composed of protons & neutrons, is known as nuclear energy. Fission, which occurs when atom nuclei split into multiple pieces, and fusion, which occurs when nuclei combine, are the two ways in which this source of energy can be created.
An atom's nucleus splits into two or more smaller nuclei during a reaction known as nuclear fission, which also releases energy.
For instance, the nucleus of an atom of uranium-235 splits into two smaller nuclei, such as a barium & a krypton nucleus, as well as two or three neutrons when struck by a neutron. As a result of these extra neutrons striking nearby uranium-235 atoms, those atoms will split and produce an increasing number of neutrons.
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Quantity with kgm^3/s^1
The quantity with units of [tex]kgm^3/s^1[/tex] is mass flow rate or mass flow density.
What does mass flow mean?Mass flow, is a physical quantity that represents the amount of mass flowing through a unit area per unit time. It is the mass flow per unit area and is typically denoted by the symbol ṁ/A. It is a measure of how much mass is flowing per unit area in a given system.
For example, it is often used to describe the rate of mass transfer in a chemical reaction, where a mass flow density is used to measure the amount of reactant or product flowing per unit area per unit time. Mass flow density is also used to describe the rate of mass flow in a fluid through a particular area, such as in a pipe or channel.
The quantity with units of [tex]kgm^3/s^1[/tex] is mass flow rate or mass flux density.
Mass flow rate is the amount of mass that passes through a given cross-section area per unit time. It is typically denoted by the symbol "ṁ" and has units of kilograms per second (kg/s).Mass flow density, on the other hand, is the amount of mass that passes through a given cross-section area per unit time and per unit area. It is typically denoted by the symbol "ṁ/A" and has units of kilograms per second per square meter (kg/s/m²).To know more about Mass Flow, visit:
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show that the liquid-level system consisting of two interacting tanks (fig. 6.11) exhibits overdamped dynamics; that is, show that the damping coefficient in eq. 6-57 is larger than one.
The liquid-level system consisting of two interacting tanks exhibits overdamped dynamics when the damping coefficient in equation 6-57 is larger than one. This means that the system will return to equilibrium without oscillating.
To show that the damping coefficient is larger than one, we can use the equation 6-57:
H1' (s) / Q'i (s) = K'_1 (T_{ \alpha} s + 1) / \tau^2 s^2 + 2 \zeta \tau s + 1
where ζ is the damping coefficient, ωn is the natural frequency of the system, y is the displacement of the liquid level from equilibrium, and t is time.
The damping coefficient ζ is given by:
ζ = (R1 + R2)/2√(L1C1L2C2)
where R1 and R2 are the resistances of the two tanks, L1 and L2 are the inductances of the two tanks, and C1 and C2 are the capacitances of the two tanks.
If the damping coefficient ζ is larger than one, the system will exhibit overdamped dynamics. This means that the system will return to equilibrium without oscillating.
To show that the damping coefficient is larger than one, we can plug in the values of R1, R2, L1, L2, C1, and C2 into the equation for ζ and see if the result is larger than one.
If the result is larger than one, then the system exhibits overdamped dynamics. If the result is less than one, then the system exhibits underdamped dynamics. If the result is equal to one, then the system exhibits critically damped dynamics.
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please answer this question!!
Answer:
14.75m
Explanation:
k=504N/m
m=11.2g =0.0112kg
x=7.66cm =0.0766m
9=9.8
h = kx^2/2mg
=504×(0.0766)^2/2×0.0112×9.8
=2.95/0.2
h=14.75m
One six-sided die and one sixteen-sided die are rolled. What is the probability of rolling an even number on the six-sided die and rolling a 16 on the other die?.
Answer:
The probability of rolling an even number on the six-sided die and rolling a 16 on the other die is 1/30, since there is a 3/6 probability of rolling an even number on the six-sided die and a 1/16 probability of rolling a 16 on the sixteen-sided die.
figure left shows a standard cmos inverter. however, during manufacturing, the circuit was contaminated
I'm sorry, I'm not able to see the figure you mentioned. Can you please provide more information or context about the figure and the question you have related to it?
The kinetic energy of a moving object is 34j
. If the mass of the object is 6kg • Calculate its height.
The velocity of the moving object is 3.37 m/s.
What is kinetic energy?The energy of the body due to its movement is called its kinetic energy. We can write -
E{K} = 1/2 mv²
Given is that the kinetic energy of a moving object is 34 joules. The mass of the object is 6kg.
We can write the kinetic energy as -
1/2 mv² = 34
mv² = 68
v² = 68/6
v² = 34/3
v² = 34/3
v = 3.37 m/s
Therefore, the velocity of the moving object is 3.37 m/s.
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`A 860-kg Escalade traveling 40 m/s at 72 degrees has a perfect inelastic collision with a 220-kg mini-cooper traveling 22 m/s at 210 degrees. Find with what velocity the two cars continue moving after the collision.
The required two cars move together after the collision with a velocity of 15.13 m/s.
What is conservation of momentum?Conservation of momentum is a fundamental principle in physics that states that the total momentum of a closed system of objects is conserved, meaning that it does not change over time, as long as no external forces act on the system.
Here,
Momentum of the Escalade: p₁ = m₁ * v₁
= 860 kg * 40 m/s * cos(72)
= 26731.13 kg m/s
The momentum of the mini-cooper: p₂ = m₂ * v₂
= 220 kg * 22 m/s * cos(210)
= -10399.48 kg*m/s
(negative because it's traveling in the opposite direction)
The total momentum before the collision is the sum of these two momenta:
p₁ + p₂ = 26731.13 kgm/s - 10399.48 kgm/s = 16331.65 kg*m/s
After the collision, the two cars stick together and move with a common velocity v. We can use the conservation of momentum principle again to find this velocity,
Total mass after the collision: m₁ + m₂ = 860 kg + 220 kg = 1080 kg
Total momentum after the collision: (m1 + m2) * v
Setting these equal, we get:
p₁ + p₂ = (m₁ + m₂) * v
16331.65 kg*m/s = 1080 kg * v
v = 15.13 m/s
Therefore, the two cars move together after the collision with a velocity of 15.13 m/s.
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when two objects slide against one another, which of the following statements about the force of friction between them is true?
Friction is the pressure that happens when two objects rub together. Microscopic bumps on the surface of each object obstruct the action of the different as the surfaces slide throughout one another.
What is the force of friction between the two objects?Friction is constantly contrary to the course of motion. The frictional pressure between two surfaces in attempting to slide one object throughout the different however neither objects are transferring with admire to every other. The friction is usually equal to the internet force parallel to the surface.
What type of pressure is when one object is sliding across another?We can outline sliding friction as the resistance created by using any two objects when sliding against each other. This friction is also recognised as kinetic friction and is defined as the pressure that is needed to keep a surface sliding along any other surface.
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A 0.60-kg block initially at rest on a frictionless, horizontal surface is acted upon by a force of 7.0 N for a distance of 2.0 m. How much farther would the force have to act for the block to have 57 J of kinetic energy?
The distance the block will move to have a kinetic energy of 57 J is 8.14 meters.
What is work?The work is defined as the amount of energy. The work in physics is the product of the force and the displacement.
Given that a 0.60-kg block initially at rest on a frictionless, horizontal surface is acted upon by a force of 7.0 N for a distance of 2.0 m. The total kinetic energy possessed by the block is 57 J.
The distance will be calculated as:-
W = F x D
W = 7 x 2
W = 14 J
The distance is,
W₁ / W₁ = D₂ / D₁
14 / 57 = 2 / D₂
D₂ = ( 57 x 2 ) / 14
D₂ = 8.14 meters
Therefore, the distance the block will move to have a kinetic energy of 57 J is 8.14 meters.
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