A tennis ball with mass 57 g is travelling at 25 m/s [S] when it is intercepted by a tennis racquet for 4.0 ms after which the ball travels at 32 m/s [N]. What is the impulse imparted by the tennis racquet?
To find the impulse imparted by the tennis racquet, we need to use the formula for impulse:
Impulse = change in momentum
The change in momentum can be calculated by subtracting the initial momentum from the final momentum:
Change in momentum = final momentum - initial momentum
The momentum of an object is given by the product of its mass and velocity:
Momentum = mass × velocity
Initial momentum = mass × initial velocity
Final momentum = mass × final velocity
Therefore, the change in momentum is:
Change in momentum = mass × final velocity - mass × initial velocity
Given:
Mass of the tennis ball = 57 g = 0.057 kg (since 1 kg = 1000 g)
Initial velocity = 25 m/s [S]
Final velocity = 32 m/s [N]
Substituting the values into the equation, we get:
Change in momentum = 0.057 kg × (32 m/s) - 0.057 kg × (25 m/s)
Now, we can calculate the impulse.