Momentum and Collision Quiz

After the collision, the speeds of both objects will be the same. This is because the objects have equal masses and are moving in the same direction. According to the law of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision. Since the masses are equal, the velocities must also be equal in order to conserve momentum. Therefore, the speeds of both objects will be the same.

The correct answer is impulse=force*time. This equation represents the relationship between impulse and force. Impulse is defined as the change in momentum of an object, and it is equal to the product of force and time. This means that the greater the force applied to an object or the longer the force is applied, the greater the impulse experienced by the object. Therefore, impulse is directly proportional to force and time.

After the collision, the two bodies will exert forces on each other according to Newton's third law of motion. Since the second body is at rest, it will transfer some of its momentum to the first body. As a result, the first body will experience a change in velocity in the opposite direction. Therefore, the velocity of the first body after the collision will be -10m/s.

Momentum is a fundamental concept in physics that describes the quantity of motion of a moving object. It is calculated by multiplying the mass of the object by its velocity. In other words, a heavier object moving at the same speed as a lighter object will have greater momentum. Similarly, an object moving at a higher speed will have greater momentum than an identical object moving at a lower speed.

The impulse exerted by an object is equal to the change in momentum of that object. In this case, the impulse exerted by the bat on the ball can be calculated by finding the change in momentum of the ball at t = 2.50s.

To find the change in momentum, we first need to find the initial momentum and final momentum of the ball. The initial momentum can be calculated by multiplying the mass of the ball (0.145 kg) by its initial velocity, which is 0 since the ball is at rest initially. Therefore, the initial momentum is 0 kg.m/s.

The final momentum can be calculated by multiplying the mass of the ball by its final velocity. The final velocity can be found by integrating the given force function from t = 0 to t = 2.50s. Integrating the force function [1.6t - 6t^2] with respect to time gives us the final velocity function [0.8t^2 - 2t^3] between t = 0 and t = 2.50s. Plugging in t = 2.50s into the final velocity function gives us a final velocity of -26.25 m/s.

Now, we can calculate the final momentum by multiplying the mass of the ball (0.145 kg) by the final velocity (-26.25 m/s). The final momentum is equal to -26.25 * 0.145 = -3.80625 kg.m/s.

The change in momentum is equal to the final momentum minus the initial momentum, so it is -3.80625 kg.m/s - 0 kg.m/s = -3.80625 kg.m/s.

Therefore, the impulse exerted by the bat on the ball at t = 2.50s is -3.80625 kg.m/s, which is approximately -26.25 N.s.

The correct answer is "all of the above" because the change in momentum can be defined by any of the given options. Impulse, which is the product of force and change in time, can cause a change in momentum. Similarly, mass multiplied by velocity also determines the momentum. Therefore, all three options are valid explanations for defining change in momentum.