The force acting on an object is directly proportional to its mass. If a force of 10 N is required to move an object of mass 2 kg, what force (in newtons) is needed to move an object of mass 5 kg?

Correct option is A

Given:

Force is directly proportional to mass

F1 = 10 N when m1 = 2 kg

Required: Force F2 for m2 = 5 kg

Concept Used:

Direct Proportion:

​$$F \propto m \Rightarrow \frac{F1}{m1} = \frac{F2}{m2}$$​​

Solution:

​$$F2 = \frac{10}{2} \times 5 = 5 \times 5 = 25 \, \text{N}$$​​