A net force of 1.4 Newtons gives an object an acceleration of 1 m/s^2. What force would be required to give the same object an acceleration of 7.5 m/s^2

Answer 1

We don't know the mass of the object, so we will just denote it as m.

using ∑F = ma, we can solve the equation.

First, we find the mass of the object, using the information in the first sentence. When F = 1.4 N, a = 1 m/s². Plugging these numbers into the equation above, we get m = 1.4 kg. See work below:

1. ∑F = ma
2. 1.4 = m*1
3. m = 1.4 kg

In the second sentence, we are given an acceleration of 7.5 m/s² and asked to find the force required to move the object at this speed. Now that we know the mass of the object, we can find the required force, which gives us an answer of F = 10.5 N. See work below:

1. ∑F = ma
2. F = 1.4*7.5
3. F = 10.5 N

Answers:

1. m = 1.4 kg
2. F = 10.5 N