A cart with a mass is of 6 kg rolls across a level surface. The wheels on the cart make the effects of friction negligible. A force of 3.0 N is applied to the cart, describe the carts motion.
start with F = ma
hmn
To describe the cart's motion, we need to consider Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration. Mathematically, this can be written as:
F_net = m * a
In this case, the applied force is 3.0 N, and the mass of the cart is 6 kg. We can now use Newton's second law to find the acceleration. Rearranging the equation, we have:
a = F_net / m
Substituting the given values:
a = 3.0 N / 6 kg
a = 0.5 m/s²
The cart's acceleration is calculated to be 0.5 m/s². Since the applied force is constant and no other forces like friction are acting on the cart, the acceleration remains constant as well. Therefore, the cart moves with a constant acceleration of 0.5 m/s².
It's important to note that without friction, the cart will continue moving indefinitely with the same constant acceleration as long as the applied force remains constant.