Typically, a tennis ball hit during a serve travels away at about 51 m/s. If the ball is at rest mid-air when struck, and it has a mass of 0.058 kg, what is the change in its momentum on leaving the racket? Show the solution and answer.
Momentum = m*V = 0.058*51 = 2.96
Thanks for the solution
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Oh, tennis balls, always on the run! Let's calculate their momentum on the go!
We can calculate the change in momentum using the equation:
Change in momentum = Final momentum - Initial momentum
The initial momentum of the ball is zero since it's at rest. So we only need to find the final momentum.
The equation for momentum is:
Momentum = mass × velocity
Given that the mass of the tennis ball is 0.058 kg and the velocity is 51 m/s, we can calculate the final momentum:
Final momentum = 0.058 kg × 51 m/s
And that gives us:
Final momentum = 2.958 kg·m/s
Since the initial momentum was zero, the change in momentum is simply equal to the final momentum:
Change in momentum = 2.958 kg·m/s
So, the change in momentum on leaving the racket is 2.958 kg·m/s. Keep those balls bouncing, my friend!
To find the change in momentum of the tennis ball, we need to use the formula:
Change in momentum = final momentum - initial momentum
The momentum of an object is calculated by multiplying its mass by its velocity:
Momentum = mass x velocity
Given data:
Mass of the ball (m) = 0.058 kg
Velocity of the ball after being struck (v) = 51 m/s
First, let's calculate the final momentum of the ball:
Final momentum = mass x velocity
Final momentum = 0.058 kg x 51 m/s
Final momentum = 2.958 kg∙m/s
Now, let's calculate the initial momentum of the ball. Since it is at rest mid-air when struck, the initial velocity is zero:
Initial momentum = mass x velocity
Initial momentum = 0.058 kg x 0 m/s
Initial momentum = 0 kg∙m/s
Now we can find the change in momentum:
Change in momentum = final momentum - initial momentum
Change in momentum = 2.958 kg∙m/s - 0 kg∙m/s
Change in momentum = 2.958 kg∙m/s
Therefore, the change in momentum of the tennis ball on leaving the racket is 2.958 kg∙m/s.