Question

A box of unknown mass accelerates 0.5 m/s2 when a force 0f 50 N is exerted on it. What force is needed to cause the box accelerate at 8m/s2?

Answer 1

The force needed to accelerate the box at 8 m/s^2 is 800 N, calculated using Newton's second law by first determining the mass of the box with the provided information and then using that mass to find the required force.

Step-by-step explanation:

To find the force needed to cause the box to accelerate at 8 m/s2, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) times acceleration (a), F = ma. Since we know the box accelerates at 0.5 m/s2 with a force of 50 N, we can first calculate the mass of the box as follows:

m = F / a = 50 N / 0.5 m/s2 = 100 kg.

Using the determined mass, we can calculate the force needed for an acceleration of 8 m/s2:

F = ma = (100 kg)(8 m/s2) = 800 N.

Therefore, a force of 800 N is needed to accelerate the box at 8 m/s2.