Question

A 100.0 g ball is launched from the top of a building. The ball is launched from rest by a constant force that is applied, resulting in the ball going from 0 m/s to 75 m/s over a distance of 60 cm. When the ball flies off the top of the building it has an initial velocity of 120.0 m/s @ 33.0^o above the horizontal. Sitting on the ground is a tube, with a diameter slightly larger than the ball. Inside the tube is a spring. We want the tube angled so that the ball enters the tube perfectly – that is the angle the ball’s velocity makes with the ground matches the angle the tube is at with respect to the ground.    The ball will have dropped a distance of 10.0 m from its launch point when it hits the spring-tube combo. Upon landing on the spring, the ball is slowed down by the spring’s restorative force, until it comes to a stop. The spring is 40.0 cm long and the ball will compress it 7.5 cm.

a) What force is applied to the ball to make it reach the launch velocity?

b) How far has the ball traveled in the x-direction when it hits the spring?

c) What is the velocity of the ball when it hits the spring? (Remember this means you have to have both a speed value AND a direction.)

d) What is the spring constant?

e) How much work is done by the spring to stop the ball?

Answer 1

P.S : Please do give a thumbs up since we as an expert take pain and take our time out by typing answer in lucid language and putting best of our knowledge at your doorstep.
Thank you