MOMENTUM and IMPULSE sample problems and solutions

In summary, momentum is the quantity of motion an object has and is calculated by multiplying its mass by its velocity. Impulse is the change in an object's momentum and is calculated by multiplying the applied force by the time it is applied. An example problem involving momentum and impulse is determining the average force applied to a 2kg ball that collides with a wall and bounces back at a different velocity. The principle of conservation of momentum states that in a closed system, the total momentum remains constant. This principle applies to various real-world situations, such as collisions and propulsion, and is important in the study of mechanics.
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plucker_08
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more advance ones...

thanks for the effort!
 

1. What is momentum and how is it calculated?

Momentum is defined as the quantity of motion an object has. It is calculated by multiplying an object's mass by its velocity.

2. How is impulse related to momentum?

Impulse is the change in an object's momentum. It is calculated by multiplying the force applied to an object by the time it is applied.

3. Can you provide an example problem involving momentum and impulse?

Sure, here's an example: A 2kg ball is rolling at a velocity of 4m/s. It collides with a wall and bounces back at a velocity of 2m/s. If the collision lasts for 0.5 seconds, what is the average force applied to the ball by the wall?

To solve this, we use the formula FΔt = mΔv, where F is the force, Δt is the time, m is the mass, and Δv is the change in velocity. Plugging in the values, we get F(0.5s) = (2kg)(2m/s - 4m/s). Solving for F, we get F = -4N. Therefore, the average force applied to the ball by the wall is 4 Newtons.

4. What is the principle of conservation of momentum?

The principle of conservation of momentum states that in a closed system, the total momentum remains constant. This means that the total momentum before a collision or interaction is equal to the total momentum after the collision or interaction.

5. How does the law of conservation of momentum apply to real-world situations?

The law of conservation of momentum is applicable in many real-world situations, such as collisions between objects, rocket propulsion, and car accidents. It helps us understand and predict the outcome of these events and is a fundamental principle in the study of mechanics.

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