Calculating Impulse and Mass of a Basketball

So we can calculate the speed just before impact using conservation of energy.In summary, the player bounces a basketball on the ground with a force of 10N for 0.1 seconds, resulting in an impulse of 1 N s. To find the mass of the basketball, we can use the impulse equation and the fact that the ball is dropped from a height of 2m. Assuming an elastic collision, the speed just before impact can be calculated using conservation of energy.
  • #1
giboneal
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Homework Statement


A playerbounces a basketball on the ground. If the ground exerts a force F = 10N on the ball in 0.1 seconds, what is the impulse on the basketball. If the ball is simply dropped from a height of 2m, assuming the impulse to be the same as before, what is the basketball's mass?


Homework Equations



impulse= delta p = m delta v = F delta t

The Attempt at a Solution


For the impulse I have 10N x 0.1 seconds which = 1 N s

For the mass of the basketball I tried m = delta p/delta v

So delta p is the impulse 1 N x s but I don't know how to find delta v
 
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  • #2
The ball is dropped from a height of 2 m. Can you find v just before it impacts the floor?

It sounds like we should assume the collision is elastic, i.e. the speed of the ball leaving the floor is the same as the speed just before impact.
 
  • #3
without knowing the initial and final velocities. Therefore, I cannot find the mass of the basketball with the given information.
 

FAQ: Calculating Impulse and Mass of a Basketball

What is impulse in physics?

Impulse is a measurement of the change in momentum of an object over a specific amount of time. It is calculated by multiplying the force applied to an object by the time interval over which it acts.

How is impulse related to momentum?

Impulse and momentum are directly related, as impulse is defined as the change in momentum. This means that the more impulse an object receives, the greater its change in momentum will be.

What is the unit of impulse?

The unit of impulse is kilogram-meter per second (kg·m/s) in the SI system of units. In the imperial system, it is usually expressed as pound-second (lb·s).

What is the principle of conservation of linear momentum?

The principle of conservation of linear momentum states that the total momentum of a closed system (where no external forces are acting) remains constant. This means that in a collision or interaction between objects, the total momentum before and after the interaction will be the same.

How is impulse calculated in real-life scenarios?

In real-life scenarios, impulse can be calculated by measuring the force applied to an object and the time interval over which it acts. This can be done using various tools such as force sensors and timers. The impulse can then be used to predict the change in momentum of the object.

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