Akbar and Lucia apply opposing forces on a
wheeled cart that has a mass of 10 kg. The cart
accelerates toward Akbar at a rate of 2 m/s2. What
is the amount of force applied by Lucia?

20 N

Explanation:

We can solve this problem by applying Newton's second law of motion, which states that the net force applied on an object is equal to the product between the mass of the object and its acceleration:

where

F is the net force

m is the mass

a is the acceleration

In this problem, we have:

m = 10 kg is the mass of the cart

is the acceleration

So the net force on the car is

Since Lucia and Akbar are pushing into opposite directions, this means that this net force is the resultant of the two forces: and since the cart is accelerating towards Akbar, this means that Lucia is applying a force 20 N stronger than Akbar.

distance = 150m

displ = root (50 ^2 + 100^2)

root(2500+10000)

root 125000