Question

A cart with a mass of 69.84 kilograms accelerates from 2.67 to 7.63 meters per second in 3.28 seconds. Find the net force (in newtons) on the cart. Round your answer to two decimal places.

Answer 1

The net force acting on the cart is 105.93 N. This is calculated by first finding the acceleration and then using it along with the given mass in Newton's second law of motion.

Step-by-step explanation:

The given question involves concepts of Physics — specifically Newton's second law of motion, which states that the force acting on an object is equal to its mass times its acceleration. The first step is to calculate the acceleration, using the formula: acceleration = (final velocity - initial velocity) / time. We get: acceleration = (7.63 m/s - 2.67 m/s) / 3.28 s = 1.51524 m/s².

Once we have the acceleration, we can find the net force. The formula for force is: force = mass * acceleration. Plugging in our values, we get: Force = 69.84 kg * 1.51524 m/s² = 105.93 N (rounded to two decimal places).

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