1. A moving object with a mass of 8.8 kg has linear momentum of magnitude 13 kg mis. What is the kinetic energy of

the object?

a) 19)

b) 4.8

c) 9.63

d) 0.743

e) 38)

Answer: Option C) 9.63 joules

Explanation:

Mass of object = 8.8kg

Speed of object = ?

Kinetic energy = ?

Momentum of the object = 13 kgm/s

Recall that momentum is a product of mass M and speed V of a moving object.

Thus, Momentum = Mass x Speed

13 kgm/s = 8.8kg x V

V = (13kgm/s ➗ 8.8kg)

V = 1.48 m/s

Now, that the speed of the object is known, calculate its kinetic energy. And, its kinetic energy depends on its mass M and speed, V

Thus, Kinetic energy = 1/2 x mv^2

= 1/2 x 8.8kg x (1.48m/s) ^2

= 0.5 x 8.8kg x (1.48m/s) ^2

= 4.4 x (1.48m/s) ^2

= 9.63 joules

Thus, the kinetic energy of the object is

9.63 joules