Question

A 1.0 kg mass that can move along the x-axis experiences the potential energy u=(x²-x)j, where x is in m. The mass has a velocity vx = 6.0 m/s at position x = 1.0 m. What is the kinetic energy of the mass at this position?

1) 18 J
2) 12 J
3) 6 J
4) 3 J

Answer 1

The kinetic energy of a 1.0 kg mass moving at 6.0 m/s is 18 J, calculated using the formula KE = 1/2 m v^2.

Step-by-step explanation:

The kinetic energy of a mass at a certain velocity can be calculated using the formula KE = 1/2 m v2, where m is mass in kilograms and v is velocity in meters per second. For a 1.0 kg mass moving at 6.0 m/s, the kinetic energy is calculated as follows:

KE = 1/2 × 1.0 kg × (6.0 m/s)2 = 1/2 × 1.0 × 36 = 18 J.

Therefore, the kinetic energy of the mass at the position x = 1.0 m is 18 J.