A 1-kg object is moving at 10 m/s. To double its kinetic energy, its speed should be increased to approximately
A) 14 m/s.
B) 15 m/s.
C) 20 m/s.
D) 40 m/s.

Question

Quizplus · Accepted Answer

The kinetic energy (KE) of an object is given by the formula KE = 1/2 mv^2, where m is the mass and v is the velocity. To double the kinetic energy, you need to increase the velocity by a factor of the square root of 2, because KE is proportional to the square of the velocity. The square root of 2 is approximately 1.414. Therefore, to double the kinetic energy of an object moving at 10 m/s, its speed should be increased to 10 m/s * 1.414 ≈ 14 m/s.

A 1-Kg Object Is Moving at 10 M/s