Question

A person pushes someone on a cart who has a mass of 72 kg inclyding the can with a constant force. The person being pushed starts from rest and accelerates to a velocity of 5 m/s in 20 meters. How much force is applied to the person on the cart?

Answer 1

The amount of force applied to the person on the cart is 90 N. To find the force applied to a person on a cart, use Newton's Second Law of Motion. Given the person's mass, acceleration, and displacement, calculate the acceleration first. Then use the formula F = ma to find the force applied.

Step-by-step explanation:

To find the force applied to a person on a cart, we can use Newton's Second Law of Motion, which states that force equals mass times acceleration (F = ma).

Given that the person's mass is 72 kg and they accelerate to 5 m/s in 20 meters, we can find the acceleration using the formula v^2 = u^2 + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the displacement.

Using the given values, we can rearrange the formula to solve for acceleration:

5^2 = 0 + 2a * 20

a = (5^2) / (2 * 20)

= 1.25 m/s^2

Now that we know the acceleration, we can calculate the force applied using

F = ma:

F = 72 kg * 1.25 m/s^2 =

90 N

Therefore, the amount of force applied to the person on the cart is 90 N.