Question

A particle A is projected vertically upwards.
Another particle B is projected at an angle of 45°.
Both reach the same height. The ratio of the initial
kinetic energy of A to that of B is-
(1) 1:2 (2) 2:1 (3) 1 :√ 2 (4) √2:1​

Answer 1

Answer:

→ (1) 1:2

Explanation:

for A

Ua² = 2gh

for B

h = Ub²sin²45°/2g = Ub² /4g

Ub² = 4gh

The ratio of the initial

kinetic energy of A to that of B is =  mUa²/2 : mUb²/2 = 1 : 2

→ (1) 1:2