Question

Velocities of two bodies of masses 5 kg and 10 kg in X+ and Y+ directions are 4 metre per second and 2 metre per second respectively. They collide and stick together .What is the final velocity?

Answer 1

let there are two bodies move in x+ and y+ directions respectively.

given, mass of body A = 5kg

velocity of body A = 4 i m/s [ along x+ direction ]

mass of body B = 10kg

velocity of body B = 2 j m/s [along y+ direction ]

here, external force = 0

so, from law of conservation of linear momentum,

initial momentum = final momentum

or, 5kg × 4i m/s + 10kg × 2j m/s = (5kg + 10kg) × v

or, 20i + 20 j =15 × v

or, v = 4/3(i + j) m/s

hence, magnitude of final velocity = √{(4/3)² + (4/3)²} = 4√2/3 m/s

Answer 2

Answer:

v=1.88

Explanation:

hope it will help.