Question

A body of mass 5kg moves along the X-axis with the velocity of 2ms-1. A second body of mass 10kg moves along the Y-axis with the velocity of (root3)ms-1. they collide at the origin and stick together. calculate (a).The final velocity of the combined mass after collision (b).The amount of heat liberated in the collision.

Answer 1

This is a question on momentum.

Momentum = mass × Velocity.

By law of conservation of linear momentum :

Initial momentum = Final momentum.

a) Let the final velocity be V.

Initial momentum equals :

Root 3 m/s = 1.73 m/s

5 × 2 + 10 × 1.73 = 27.3 kgm/s

Final momentum :

(10 + 5) V = 15 V

Equating the two to get V:

15 V = 27.3

V = 1.82 m/s

b) KE = 1/2mv^2

Mass = 15kg

V = 1.82 m/s

Heat energy = Kinetic energy

= 1.82 × 1.82 × 15 × 0.5 = 24.843 Joules

Answer 2

Answer:

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