Question

what force is needed to give a 0.25 kg arrow an acceleration of 196 m/s²?
0.25 n
49 n
196 n
748 n

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\), where \(F\) is force, \(m\) is mass, and \(a\) is acceleration.

Step2: Substitute the given values

Given \(m = 0.25\space kg\) and \(a=196\space m/s^{2}\). Substitute into the formula: \(F=(0.25)(196)\).

Step3: Calculate the force

\(F = 0.25\times196=\frac{1}{4}\times196 = 49\space N\)

Answer:

B. \(49\space N\)