Question

A 4.0-kilogram object is accelerated at 3.0 meters

per second2 north by an unbalanced force. The
same unbalanced force acting on a 2.0-kilogram
object will accelerate this object toward the north at
(1) 12 m/s2 (3) 3.0 m/s2
(2) 6.0 m/s2 (4) 1.5 m/s2

Answer 1

6.0 m/s^2
12 N= 2 kg (a)
a=6 m/s^2

Answer 2

Answer;

= 6.0 m/s²

Explanation and solution

• According to Newton's second Law of motion the resultant force is directly proportional to the rate of change in momentum.

• Therefore; F = ma , where F is the force, m is the mass and a is the acceleration

F = 4 × 3

= 12 Newtons

The same force acts on a 2.0 kg object

F = ma

a = F/ m

= 12 /2

= 6.0 m/s²