0.30-kg block is sliding on a smooth horizontal surface at 2.5 m/s, heading towards a light spring that is in equilibrium (not stretched or compressed). The spring constant is 3000 N/m. What is the total kinetic energy in the system in Joules?
To find the total kinetic energy in the system, we need to calculate the kinetic energy of the block.
The kinetic energy of an object is given by the formula:
Kinetic Energy (KE) = (1/2) * mass * velocity^2
Given that the mass of the block is 0.30 kg and the velocity is 2.5 m/s, we can substitute these values into the formula to find the kinetic energy of the block:
KE_block = (1/2) * 0.30 kg * (2.5 m/s)^2
KE_block = (1/2) * 0.30 kg * 6.25 m^2/s^2
KE_block = 0.9375 kg m^2/s^2
The unit of kinetic energy is joules (J), so the total kinetic energy in the system is 0.9375 J.