Final answer:
The kinetic energy of the 200 kilogram cart moving at 7 meters per second is 4,900 Joules.
Step-by-step explanation:
The kinetic energy (KE) of an object can be calculated using the formula KE = 1/2 * mass * velocity squared. In this case, the mass of the cart is 200 kilograms and it is moving at a speed of 7 meters per second. Plugging these values into the formula, we get:
KE = 1/2 * 200 kg * (7 m/s)^2
Simplifying:
KE = 1/2 * 200 kg * 49 m^2/s^2 = 4,900 J
Therefore, the kinetic energy of the 200 kilogram cart moving at 7 meters per second is 4,900 Joules.