A ball of 200g is tied to a 1.0 meter long string and free from rest at 60 degree angle. It swings down and at the very bottom collides with the block of 1.0 kg. The block is resting on a frictionless surface and is joined to a 20cm long spring having spring constant k = 2000 N/m. Avoid any effect of the string and spring throughout the collision. Take g = 9.8m/s^2. Suppose the collision is perfectly elastic.
i) Determine the velocity of the ball just before it collides with the 1.0kg block? (Should use work-energy theorem to explain)
ii)
a. Sketch an FBD for the ball and an FBD for the block throughout the collision. Point out the 3rd law pairs.
b. Determine the two physical quantities which are conserved throughout the collision? Write down the two equations which are required to determine the velocities of the black and ball just after collision.
c. Determine the velocities of the block and the ball just after collision (you could just utilize equations from B and solve for velocity).
iii) Find out the maximum compression of the spring?