Final answer:
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.