A dynamics cart has a kinetic energy of 4.2J when moving across a floor at 5.0 m/s. What is the mass of the cart?
The kinetic energy (KE) of an object can be calculated using the formula:
KE = 1/2mv^2
Where m is the mass of the object and v is its velocity.
Given that the kinetic energy of the cart is 4.2 J and its velocity is 5.0 m/s, we can rearrange the formula to solve for the mass (m):
m = 2KE / v^2
Substituting the given values:
m = 2 * 4.2 J / (5.0 m/s)^2
m = 2 * 4.2 J / 25 m^2/s^2
m = 0.336 kg
Therefore, the mass of the cart is 0.336 kg.