Impulse imparted by the ground on the ball?

In summary, a 100.0 g mass is dropped from a height and rebounds with 78% of its initial gravitational potential energy. Upon hitting the ground, it is moving at 1.2 m/s. To find the impulse imparted by the ground on the ball, the formula impulse = m(vf-vi) is used. However, the velocity after the collision with the ground must be taken into account, and vf cannot equal 1.2 m/s since vi is already given as 1.2 m/s. Additionally, the gravitational potential energy can be used to find the final velocity.
  • #1
jevillan
8
0

Homework Statement


A mass 100.0 g is dropped from some height above the ground and rebounds to a point where it has 78% of its initial gravitational potential energy. As it hits the ground, it is moving at 1.2 m/s. What is the impulse imparted by the ground on the ball?


Homework Equations


impulse = m(vf-vi)


The Attempt at a Solution


impulse = (0.1)(1.2 m/s - 0 m/s)
=0.12 kg m/s

I followed the formula for impulse, but i feel like I did it wrong because there was a lot more information given in the problem that I didn't use in my solution
 
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  • #2
I think you need to take into account the ball's velocity after colliding with the ground.
Also you're saying vf = 1.2m/s but the problem states that vi = 1.2m/s.
To find vf you need to use the information about the gravitational potential energy.
 

FAQ: Impulse imparted by the ground on the ball?

What is impulse imparted by the ground on the ball?

Impulse imparted by the ground on the ball is the force applied to the ball by the ground when it comes into contact with it. This force causes a change in the ball's momentum and direction of motion.

How is impulse calculated?

Impulse is calculated by multiplying the force applied to an object by the amount of time the force is applied. In the case of impulse imparted by the ground on the ball, it is the force applied by the ground on the ball multiplied by the time the ball is in contact with the ground.

Why is impulse important in sports?

Impulse is important in sports because it is a crucial factor in determining the motion and trajectory of objects, such as balls, in motion. It can also affect the speed, direction, and distance of objects, making it a key element in many sports such as soccer, basketball, and baseball.

What factors affect impulse imparted by the ground on the ball?

The factors that affect impulse imparted by the ground on the ball include the force and angle of impact, the surface properties of the ground, and the characteristics of the ball, such as its mass and elasticity.

How can impulse be altered or controlled in sports?

Impulse can be altered or controlled in sports by adjusting the force and angle of impact, using different types of ground surfaces, and modifying the characteristics of the ball. For example, in soccer, players can control the impulse imparted by the ground on the ball by adjusting the angle of their foot when kicking it, and the type of surface they are playing on can also affect the impulse. In baseball, pitchers can control the impulse by changing the type of pitch they throw, such as a fastball or a curveball, which affects the force and angle of impact on the ball.

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