Question

a force produces an acceleration of 5.0cm /s when acts in a body of mass 20g. Find the force in Newton

Answer 1

F=m×a
=20×5.0
F=100n

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Answer 2

The force is (1 × 10⁻³) N

Given : A force produces an acceleration of 5.0cm /s² when acts in a body of mass 20g.

To find : The force in Newton.

Solution :

We can simply solve this numerical problem by using the following process. (our goal is to calculate the force in Newton unit)

First of all, we have to do unit conversions of the given data :

• Acceleration = 5 cm/s² = 0.05 m/s² (As, 1 cm² = 0.01 m/s²)
• Mass = 20g = 0.02 kg (As, 1 kg = 1000 g)

Now, we have to use the following mathematical formula :

Force = mass × acceleration

By, putting the given values, we get :

Force = 0.05 × 0.02 = 0.001 kg.m/s² = 0.001 N = (1 × 10⁻³) N [As, 1 N = 1 kg.m/s²]

(This will be considered as the final result.)

Hence, the force is (1 × 10⁻³) N