Determine the resultant internal loadings in the beam at cross sections through points D and E. Point E is just to the right of the 16-kN load.Shear ForceShear force is the total effective force or resultant force vertical to the shaft or beam. Normal force is perpendicular to the shear force. The magnitude of the shear force depends on the vertical load applied to the beam.

Let's assume the speed of the boat relative to the water is s.

The time taken for the boat to travel 1.42 km upstream is t1.

The time taken for the boat to travel 1.42 km downstream is t2.

The velocity of the river is v.

Since the speed of the boat relative to the water is constant, we have:

Upstream:

v + s = s + (1.42 km) / t1 = (1.42 km) / t1 km/hr

Downstream:

v - s = (1.42 km) / t2 km/hr

Since the boat takes 75 min for the round trip, we have:

t1 + t2 = 75 min = 1.25 hours

Rearranging the above equations, we have:

v = (1.42 km / t1 - 1.42 km / t2) / 2 km/hr

Substituting t1 + t2 = 1.25 hours, we have:

v = (1.42 km / (1.25 hours - t2) - 1.42 km / t2) / 2 km/hr

Since t2 = 1.25 hours - t1, we have:

v = (1.42 km / (1.25 hours - (1.25 hours - t1)) - 1.42 km / (1.25 hours - t1)) / 2 km/hr

v = (1.42 km / (1.25 hours) - 1.42 km / (2.5 hours - t1)) / 2 km/hr

Finally, solving for t1, we have:

t1 = (1.42 km / v) * 2 km/hr / (1 + (1.42 km / (1.25 hours * v))) hours

So, the flow velocity of the river is v.

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Answer:

Below

Explanation:

The heat the water gains is the heat lost by the metal ...

  Hw = .25 kg * (28- 20 C) * 4180 J/(kg K) = 8360 J

So the metal gains 8360 J and cools by 25 °C

500g = .5 kg

                        8360 /(.5kg* 25 C) = 668.8 J /(kg K)

Note: Remember that a degree C = one K)  

Answer:

a) To find the depth of the lake, we can use the following equation:

distance = initial velocity x time + (1/2) x acceleration x time^2

As the ball sinks to the bottom with the same constant velocity, we can assume that the acceleration is due to gravity, which is 9.8 m/s^2 (going downward)

We know that the time it takes for the ball to hit the bottom is 5.05 seconds, so we can substitute these values into the equation:

distance = 0 x 5.05 s + (1/2) x 9.8 m/s^2 x (5.05 s)^2

distance = 12.6125 m

So the lake is 12.6125 m deep

b) To find the magnitude of the average velocity of the ball for the entire fall, we can use the equation:

average velocity = distance / time

We know that the distance is the depth of the lake, which is 12.6125 m, and the time is 5.05 s, so we can substitute these values into the equation:

average velocity = 12.6125 m / 5.05 s

average velocity = 2.49 m/s

c) To find the magnitude of the initial velocity of the ball when it is thrown, we can use the following equation:

initial velocity = final velocity^2 + 2 x acceleration x distance

As the ball reaches the bottom in the same time as when it was dropped, 5.05 s, we can assume that the final velocity is 0 m/s. We know that the acceleration is 9.8 m/s^2 (going downward), and the distance is the depth of the lake, which is 12.6125 m. So we can substitute these values into the equation:

initial velocity = 0^2 + 2 x 9.8 m/s^2 x 12.6125 m

initial velocity = 24.6 m/s

Note that the magnitude of initial velocity is 24.6 m/s, which is a scalar value, it doesn't have any direction.

The distance to the epicenter by using the equation D = ΔT 8.4 is 16.8 kilometers.

In an earthquake, the epicenter can be defined as the location on the earth's surface that is aligned with the location in which the earthquake originated.

The equation that is commonly used to calculate the distance to the epicenter in an earthquake is D =ΔT 8.4. In this equation T represents the difference in time between the P and the S wave, while 8.4 represents a constant.

Based on this, let's calculate the distance:

D =ΔT 8.4

D = 2 x 8.4

D = 16.8 km

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The acceleration due to gravity is 9.8 m/s2, the tension in the cord is equal to 98 N.

Acceleration is the rate of change of velocity over time. It is a vector quantity, meaning it has both direction and magnitude. It is typically measured in meters per second squared (m/s2), and is the rate at which the speed or velocity of an object changes.

The stretch of the spring can be calculated using the equation F = kx, where F is the applied force,
k is the spring stiffness, and x is the stretch of the spring.
In this case, the applied force is the weight of the 10-kg ball, which is equal to 98 N.
Plugging this into the equation,
we have 98 = 130x,
which can be solved for x to get x = 0.75 cm.

The tension in the cord can be calculated using the equation F = ma,
where F is the force,
m is the mass,
and a is the acceleration.
Since the acceleration due to gravity is 9.8 m/s2, the tension in the cord is equal to 98 N.

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A closed system is a system in which the total energy of the system is conserved.

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Answer:

the velocity when the displacement is zero is 17.95 m/s.

Explanation:

The initial velocity can be found by taking the first derivative of the position function (s) with respect to time (t). The velocity function v = ds/dt is given by:

v = 8 * 2t + 3

The initial velocity, v0, at t = 0, is:

v0 = 8 * 2 * 0 + 3 = 3 m/s

The velocity when the displacement is zero can be found by setting s = 0 in the position function and solving for t:

0 = 8t² + 3t - 10

Using the quadratic formula, we find that:

t = (-3 ± √(3² - 4 * 8 * -10)) / (2 * 8)

t = (-3 ± √(9 + 320)) / 16

t = (-3 ± √329) / 16

t = (-3 ± 18.12) / 16

t = (15.12 / 16) or (-21.12 / 16)

Since time cannot be negative, we take the positive value:

t = (15.12 / 16) = 0.9475 s

At t = 0.9475 s, the velocity can be found using the velocity function:

v = 8 * 2 * 0.9475 + 3 = 17.95 m/s

So, the velocity when the displacement is zero is 17.95 m/s.

a.  The acceleration of the 4.00 kg crate is 3.75 m/s^2.

b.  A free-body diagram for the 4.00 kg crate is shown below:

4.00 kg

T

c. The direction of the force is to the right, since the crate is moving to the right. The magnitude of the force is 15 N.

Acceleration can be described as  the rate of change of the velocity of an object with respect to time.

We use  Newton's second law of motion, which states that the net force on an object is equal to its mass times its acceleration

(F_ = m * a).

The total force on each crate is equal to the force applied on it. If the force applied on the 6.00 kg crate produces an acceleration of 2.5 m/s^2, the  total force on the 6.00 kg crate is 6.00 kg * 2.5 m/s^2 = 15 N.

Therefore, the total  force on the 4.00 kg crate is 4.00 kg * a = 15 N,

a = 15 N / 4.00 kg

a = 3.75 m/s^2.

The tension T in the rope that connects the two crates can be found using Newton's second law of motion.

b.  (F = m * a), so we can put out the  the equation as :

T - 4.00 kg * 3.75 m/s^2 = 0

T = 4.00 kg * 3.75 m/s^2 = 15 N

c.

F - 6.00 kg * 2.5 m/s^2 = 0

F = 6.00 kg * 2.5 m/s^2 = 15 N

The direction of the force is to the right, since the crate is moving to the right. The magnitude of the force is 15 N.

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Formula for work:

[tex]w=Fd[/tex]

work(measured in joules) = force(measured in newtons) * distance(measured in meters)

Formula for force:

[tex]F=ma[/tex]

force(measured in newtons) = mass(measured in kilograms) * acceleration(measured in m/s^2)

__________________________________________________________

Given:

[tex]m=60kg[/tex]

[tex]d=10m[/tex]

[tex]a=9.8m/s^2[/tex]

[tex]w=?[/tex]

__________________________________________________________

Finding force:

[tex]F=ma[/tex]

[tex]F=60\times9.8[/tex]

[tex]F=588N[/tex]

__________________________________________________________

Finding work:

[tex]w=Fd[/tex]

[tex]w=588\times10[/tex]

__________________________________________________________

Answer:

[tex]\fbox{w = 5880 Joules}[/tex]

The correct sequence is 5, 1, 3, 8, 4, 6, 7, 2. The statement that is being discussed is:

"For all > 0 there exists a > 0 such that for all satisfying we have that ."

To explain the statement further, it means that for any given real number > 0, there exists a real number > 0 such that for all real numbers satisfying , we have that . In other words, if is sufficiently close to (i.e. if is less than ), then must also be close to (i.e. must be less than ).

This idea is essential to understanding limits. The statement can be written more formally as:

[tex]$$\lim_{x \to c} f(x) = L \iff \forall \epsilon > 0, \exists \delta > 0 \text{ such that } \forall x \in \mathbb{R}, 0 < |x - c| < \delta \Rightarrow |f(x) - L| < \epsilon$$[/tex]

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The time period of simple pendulum in which g is constant l is length of pendulum is T=2pirootl/g which oscillates with a period of 2 ss.

a- for a simple pendulum force constant or spring factor k is proportional to mass m therefore m cancels out in denominator as well as in numerator.

b-in case of a simple pendulum the restoring force acting on the bob of the pendulum is given as:-

F=-mgsing theta

m=mass of bob

g= acceleration due to gravity

theta=angle of displacement

for small theta sintheta =theta

hence time period T=2pirootL/g.

A simple pendulum is a point mass suspended by a weightless and inextensible string fixed rigidly to support, the supported string and mass is called pendulumn.

T = 2π√(l/g)

l is the length of the pendulum.

g is the acceleration due to gravity.

Examples of simple pendulums are found in clocks, swing sets, and even the natural mechanics of swinging legs all are on the basis of simple pendulum. Tetherballs are examples of spherical pendulums.

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The following statement which is true is :  A correlation of .33 is just as strong as a correlation of -.33.

The tendency of two or more systems that independently exhibit simple behavior to show complex and novel behavior together because of their interaction is called correlation.

Correlation is a statistical measure that expresses extent to which two variables are linearly related implying that they change together at a constant rate. It is common tool for describing simple relationships without making statement about cause and effect.

Correlation between variables does not mean that the change in one variable is the cause of the change in the values of other variable.

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A ball is thrown upwards and returns to the same position. Compared with its original speed after relase, its speed when it returns is about the same.

To solve this case, we will use energy conservation and free fall concepts.

Energy conservation defines that the energy in a system will remains the same as long as no other external force working in the system. Energy in a system will not be created or destroyed, but only change its form from one to another.

We will use the energy conservation concepts in this case under the kinetic and potential energies approach.

When the ball is thrown upwards, the ball has its kinetic energy and zero potential energy. As the ball goes higher, it will reach its highest peak once all of its kinetic energy has change into potential energy. The potential energy then will change into kinetic energy directly as the ball falls into its initial position. We can formulazid these moments as:

E1 = E2 = E3

where:

E1 = total energy when the ball is thrown upwards

E2 = total energy when the ball just stop at its highest peak

E3 = total energy when the ball starts to drop into its initial position

E1 = E2 = E3

Ek1 + Ep1 = Ek2 + Ep2 = Ek3 + Ep3

1/2 mv1² + mgh1 = 1/2mv2² + mgh2 = 1/2mv3² + mgh3

1/2mv1² + mg(0) = 1/2m(0)² +mgh = 1/2mv3² + mg(0)

1/2v1² = gh = 1/2v3²

v1² = v3² =2gh

v1 = v3 = √2gh

The ball will falls with the same speed as the speed when it was thrown upwards.

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Answer:very hard

Explanation:

Answer:

10. If two objects are moving but the total momentum of the system is zero, the momentum of the two objects are equal in magnitude but opposite in direction.

11.

a. The momentum of the system before they push off each other is zero as they both start at rest.

b. The total momentum of the system after they push off each other must be zero, as the law of conservation of momentum states that the total momentum of a closed system remains constant.

c. If the girl skater has a mass of 30 kg and moves backward at 5 m/s, the velocity of the boy skater would be in the opposite direction at 5 m/s. This can be found using the equation p = mv, where p is momentum, m is mass, and v is velocity. Since the total momentum of the system is zero, the momentum of the girl skater (30 kg * -5 m/s) must be equal in magnitude but opposite in direction to the momentum of the boy skater (50 kg * v). So, v = (30 kg * -5 m/s) / 50 kg = -5/50 m/s = -0.1 m/s.

d. The force exerted on each skater can be found using the equation F = Δp/Δt, where F is force, Δp is the change in momentum, and Δt is the time over which the force is exerted. Using the known values, F = Δp/Δt = (0 - 0) / 2.5 s = 0 N. This means that the force exerted on each skater is zero.

The formula y = - 1 2 g t 2 y = - frac 1 2 g t 2 y=-21gt2 describes the vertical distance from the ground, where g is the acceleration of gravity and h is a height.

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Your heart stops beating, your breathing stops, and your brain stops working. According to research, brain activity may continue for several minutes after a person is declared dead.

Visual or auditory hallucinations are common during the dying process. The reappearance of deceased family members or loved ones is common. These visions are thought to be normal.

The dying may shift their focus to "another world," where they may converse with people or see things that others do not.

Thus, brain activity is not synonymous with consciousness or awareness. It does not imply that the individual is aware that they have died.

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Kepler's second law states that as a planet orbits the Sun, it sweeps out equal areas in equal times. the options are b) Inner planets orbit the Sun at higher speed than outer planets, d) All the planets orbit the Sun in nearly the same plane, f) Pluto moves faster when it is closer to the Sun than when it is farther from the Sun.

Kepler's second law states that as a planet orbits the Sun, it sweeps out equal areas in equal times. The following statements describe characteristics of the solar system that are explained by Kepler's second law:

The correct options are option b, d and f.

These statements are consistent with the idea that a planet sweeps out equal areas in equal times as it orbits the Sun, because a planet moving faster would be able to sweep out a larger area in a given amount of time. Kepler law is made to find the distance, motion, trajectory of the celestial bodies that are moving in he solar system and we can use it to prove many theories and we are making the proportionality in the many ways.

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The images sharpen when the goggles are worn because the focal length of goggles maintains the refraction of light into cornea and corrects the vision of the swimmer.

What is Refraction?

Refraction is the redirection of a wave as it travels through one medium and into another in physics. The wave's alteration in speed or a change in the medium might both result in the redirection. Although light refraction is the most frequently seen phenomena, refraction can also occur with other waves, including sound and water waves.

The angle between the original direction of wave propagation and the direction of speed change affects how much a wave is refracted. Light slows down and somewhat changes direction as it moves from the air into the water. Refraction describes this shift in direction.

Why are Goggles Used While Swimming?

The focal length of the eye alters upon contact with water. The goggles have a focal length that enhances the swimmer's vision. The eyes of a swimmer are shaped to refract light as it enters the cornea from the air. This is upheld by the goggles. The water's irritation of the swimmers' eyes is what causes the blurriness. Swimmers' eyes are protected with goggles.

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To calculate the force on the point mass m placed at the center of the semicircle, we need to consider the gravitational force acting on the mass m due to the uniform rod.

The gravitational force acting on the point mass m can be calculated using the equation:

F = G * (m * M) / R^2

where G is the gravitational constant, m is the mass of the point mass, M is the mass of the uniform rod, and R is the radius of the semicircle.

The uniform rod can be considered as a point mass located at the center of the semicircle, so the force on the point mass m can be simplified as:

F = G * (m * M) / R^2 = G * m * M / R^2

In conclusion, the force on the point mass m placed at the center of the semicircle is equal to the gravitational force between the point mass and the uniform rod, which is given by the equation F = G * m * M / R^2.

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Answer:

31.37 degree Celcius

Explanation:

To calculate the final steady temperature of the mixture, we need to use the conservation of energy principle, which states that the total energy before and after the process must be the same. The heat lost by the copper block will be equal to the heat gained by the water and the copper calorimeter.

We can start by finding the heat lost by the copper block. We know that the mass of the copper block is 24 grams, and the specific heat capacity of copper is 400 J/kg·K.

The change in temperature of the copper block is 230°C - 31°C = 199°C. Therefore, the heat lost by the copper block can be calculated as:

Q_copper = mass x specific heat capacity x change in temperature

Q_copper = (24 g) x (400 J/kg·K) x (199°C)

Q_copper = 150336 J

Next, we'll find the heat gained by the water and the calorimeter. We know that the mass of the water is 54 grams, and the specific heat capacity of water is 4200 J/kg·K.

The change in temperature of the water is T_final - 31°C = T_final - 31. Therefore, the heat gained by the water can be calculated as:

Q_water = mass x specific heat capacity x change in temperature

Q_water = (54 g) x (4200 J/kg·K) x (T_final - 31)

We also know that the mass of the calorimeter is 60 grams, and the specific heat capacity of copper is 400 J/kg·K.

The change in temperature of the calorimeter is T_final - 31°C = T_final - 31.

Therefore, the heat gained by the calorimeter can be calculated as:

Q_calorimeter = mass x specific heat capacity x change in temperature

Q_calorimeter = (60 g) x (400 J/kg·K) x (T_final - 31)

Now we can use the conservation of energy principle to find the final steady temperature. Since the heat lost by the copper block is equal to the heat gained by the water and the calorimeter, we can set up the following equation:

Q_copper = Q_water + Q_calorimeter

150336 J = (54 g) x (4200 J/kg·K) x (T_final - 31) + (60 g) x (400 J/kg·K) x (T_final - 31)

Solving for T_final, we get

T_final = (150336 J + 31*(544200 + 60400))/(544200+60400)

= (150336+31*266400)/266400

= (150336+828240)/266400

= 98576/266400

= 0.37°C

Therefore, the final steady temperature of the mixture is T_final = 31°C + 0.37°C

= 31.37°C

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PART A:

-9.8 m/s^2 (S)

PART B:

0 meters (N)

PART C:

≈ 7.7 (ROUNDED)
Accurate: 7.69300

PART D:

4.9 m (Δy)

Transcribed Text:
A tennis player tosses a tennis ball straight up and then catches it after 1.57 seconds at the same height as the point of release.

Required:

Use the following kinematic equations:

[tex]v=v_o+at[/tex]

Final velocity = Initial Velocity + Acceleration × Time

Δ[tex]x=v_ot+\frac{1}{2}at^2[/tex]

Change in position (displacement) = Initial velocity × time + (0.5) (acceleration × final time)²

[tex]v^2=v_o2+2a[/tex]Δ[tex]x[/tex]

Final velocity (squared) = Initial velocity (two times) + (two times) acceleration * change in position

*A illustration shall be provided for better understanding*

Part A:

Once the tennis player releases the ball, the only force acting on that ball is the gravitational force which exerts an acceleration of -9.8 m/s^2.

Part B:

At that maximum height (as seen in the attached picture) would have a velocity of 0 for just a split moment making this the answer.

PART C: *Be aware that the PART A and B are just conceptual type questions and now we have actual calculations to figure out*.

Reviewing what we know,

Acceleration = -9.8 m/s^2

Time = 2.00 seconds

Now we have to find the initial velocity.

Reviewing the picture and the final velocity, it should turn out this way:

Looking at the kinematic equations we would use:
[tex]V_f=V_i+at[/tex]

Current equation:

[tex]-V_o=V_o+(-9.8)(1.57)[/tex]

* MULTIPLY -9.8 and 1.57!!!

Now we must subtract the V(naught) from both sides.

The left and right side would become:

[tex]-2v_o=-15.38600[/tex]

Divide -2 from both sides.

Initial velocity = 7.69300

Rounded

≈ 7.7 m/s

This would make the initial velocity equal to 7.7 m/s

PART D:
In order to solve for maximum height, we must use some values we would need to find this answer.

Initial velocity = 7.69300 m/s

Acceleration = -9.8m/s^2

Final velocity (or velocity at max height) = 0 m/s

Δy = ...

The kinematic equation we would be using is:

[tex]v^2=v_o2+2a[/tex]Δ[tex]x[/tex]

Because the situation is in the vertical dimension, the 'delta x' will be changed to:

[tex]v^2=v_o2+2a[/tex]Δ[tex]y[/tex]

Subtract the initial velocity squared from both sides of the equation.

This would give us:
[tex]v^2-v_0^2=2a[/tex]Δ[tex]y[/tex]

Divide both sides by 2a.

By finding this we can find the vertical displacement.

[tex]\frac{v^2-u^2}{2a}[/tex]=Δ[tex]y[/tex]

Let plug in the known values

[tex]\frac{(0)^2-(9.8)^2}{2(-9.8^2)} = 4.9m[/tex]

Done

A straight line drawn anywhere on a Mercator projection is a line of true compass direction, called a loxodrome line.

A loxodrome is a line of true compass direction on a Mercator projection map. Here are some key points to keep in mind:

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The kinetic energy of an object of mass 10kg when it is moving with a velocity 2ms⁻¹ is  20 joule.

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.

The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.

Mass of the object: M = 10 kg.

Velocity of the object: v = 2 m/s.

Hence, the kinetic energy of the object = 1/2×Mv²

= 1/2 × 10 × 2² joule

= 20 joule.

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Neglecting the effects of air resistance, the statement that is true about a freely falling rock is the one that says "the rock will gain an equal amount of momentum during each second (of its fall)." Therefore, the correct answer is option A.

According to the question, a rock is dropped from a tower. It falls freely, meaning that there is no initial force that was applied to it and that the falling is purely under the influence of gravity. In cases like this, the primary force that is working on the rock, besides gravity, is the friction that it experiences with the air (air resistance).

Falling objects get faster the longer they are in the air because of the momentum it gains. Air resistance slightly slows the speed, but since we're instructed to ignore the air resistance, only the acceleration of gravity would affect the object.

The formula you can use to calculate a falling object is:

  v = g * t

  v = 2 * g * h

  h = 0.5 * g * t²

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Answer: a AND B

Explanation:1, IS TRUE AND 2 AIS TRUE

The things that are true about a system are :

A system is a group of objects analyzed as one unit

Energy that moves across the system boundaries is conserved.

System is nothing more than a group of identifiable items (or smaller systems), as it is defined in physics or chemistry. The word "system" often refers to a collection that makes it easier to think about an issue. Everything else outside of what the system defines is considered the surrounds.

The collection of elements and energy under study is referred to as a system. For instance, everything within a jar in which reactions are taking place is the system, while everything outside the jar is the environment. Everything outside of the system, or the rest of the cosmos, is considered the surrounds.

The things that are true about a system are :

A system is a group of objects analyzed as one unit

Energy that moves across the system boundaries is conserved.

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between the moment the driver sights an obstacle and the moment he applies the brakes

What is a driver’s response time?

A driver’s reaction time is the amount of time it takes between seeing an obstruction and applying the brakes. During this period, the automobile maintains a steady speed while he drives closer to the obstruction. The reaction time is the amount of time it takes to respond to a situation by shifting your foot from the accelerator to the brake pedal. A typical reaction time is ¾ of a second. The reaction distance is the distance traveled by a vehicle within this period.

Method that is more exact.D = (s * r) / 3.6 d = response distance in meters (to be calculated). S denotes the speed in kilometers per hour. R denotes the response time in seconds. 3.6 = fixed conversion figure

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The momentum of the red cart before and after the collision is 60 kgm/s and 40 kgm/s respectively.

The momentum of the blue cart before and after the collision is 30 kgm/s and 50 kgm/s respectively.

The final momentum of the carts after the collision is determined by applying the principle of conservation of linear momentum.

Sum of initial momentum = sum of final momentum

60 kgm/s  +  30 kg m/s  = 50 kgm/s  + Pr

where;

90 kgm/s - 50 kgm/s = Pr

40 kgm/s = Pr

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