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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
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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