Question

an object of mass 16.0 kg subjected to a non - zero net force moves with an acceleration of 1.8 m/s².
(a) determine the net force (in n) acting on it. (enter the magnitude only.)
n
(b) what acceleration (in m/s²) would a 32.0 - kg object have if the same net force is applied to it?
m/s²

Explanation:

Step1: Calculate net force using Newton's second law

Newton's second law is \(F = ma\). Given \(m = 16.0\space kg\) and \(a=1.8\space m/s^{2}\), we substitute into the formula: \(F=(16.0)(1.8)\).

$$F = 16\times1.8=28.8\space N$$

Step2: Calculate acceleration for new mass

We know \(F = 28.8\space N\) (from part (a)) and \(m = 32.0\space kg\). Using \(a=\frac{F}{m}\), substitute the values: \(a=\frac{28.8}{32.0}\).

$$a=\frac{28.8}{32.0}=0.9\space m/s^{2}$$

Answer:

(a) \(28.8\space N\)
(b) \(0.9\space m/s^{2}\)