Question

a net force of 10 newtons accelerates an object at 5.0 meters per second². what net force would be required to accelerate the same object at 1.0 meter per second²? (a) 1.0 n (b) 2.0 n (c) 5.0 n (d) 50 n

Explanation:

Step1: Find the mass of the object

According to Newton's second law \(F = ma\), where \(F = 10\space N\) and \(a=5.0\space m/s^{2}\). Rearranging for mass \(m=\frac{F}{a}\), so \(m = \frac{10}{5.0}=2.0\space kg\).

Step2: Calculate the new force

Using \(F = ma\) again, with \(m = 2.0\space kg\) and \(a = 1.0\space m/s^{2}\). Then \(F=(2.0)(1.0)=2.0\space N\).

Answer:

B. \(2.0\space N\)