Question

Great physics question

Answer 1

A cart is moving along +x direction with a velocity of 4 m/s.

A person on the cart throws a stone with a velocity of 6 m/s relative to himself. In the frame of reference of the cart the stone is thrown in y-z plane making an angle of 30 ° with the vertical z axis.

At the highest point of its trajectory, the stone hits an object of
equal mass hung vertically from the branch of a tree by means of a string of
length L. A completely inelastic collision occurs, in which the stone gets
embedded in the object. Determine:

(i) The speed of the combined mass immediately after the collision with
respect to an observer on the ground

(ii) The length L of the string such that the tension in the string becomes zero
when the string becomes horizontal during the subsequent motion of the
combined mass.

Answer 2

@dan815 let's get started.

Answer 3

hahaha pk xD