A moving object with a mass of 9.1 kg has linear momentum of magnitude 16 kg m/s. What is the kinetic energy of the object?
The formula for linear momentum is given by p = mv, where p is the linear momentum, m is the mass, and v is the velocity.
Given that the mass of the object is 9.1 kg and the magnitude of the linear momentum is 16 kg m/s, we can find the velocity of the object by dividing the linear momentum by the mass:
v = p/m = 16 kg m/s / 9.1 kg = 1.76 m/s
The formula for kinetic energy is given by KE = (1/2)mv^2, where KE is the kinetic energy, m is the mass, and v is the velocity.
Plugging in the values, we get:
KE = (1/2)(9.1 kg)(1.76 m/s)^2
= 7.87 J
Therefore, the kinetic energy of the object is 7.87 Joules.