Question

A force produces an acceleration of 5cm/s^2
when is act on the body of a mass 20 g
find the force in Newton??​

Answer 1

• Acceleration of the body, a = 5 cm/s²

$1 \: cm \: = {10}^{ - 2} \: m \\ \\ 1 \: \dfrac{cm}{ {s}^{2} } = {10}^{ - 2} \: \dfrac{m}{ {s}^{2} } \\ \\a = 5\: \dfrac{cm}{ {s}^{2} } = 5 \times {10}^{ - 2} \: \dfrac{m}{ {s}^{2} }$

• Mass of the body, m = 20 g.

$1 \: g = {10}^{ - 3} \: kg \\ \\ 20\: g = 20 \times {10}^{ - 3} \: kg \\ \\ m = 2 \times {10}^{ - 2} \: kg$

According to the result of Newton's second law of motion, force is equal to the product of mass and acceleration.

f = ma

$f = 2 \times {10}^{ - 2} \times 5 \times {10}^{ - 2} \\ \\ = 2 \times 5 \times {10}^{ (- 2 - 2)} \\ \\ = 10 \times {10}^{ - 4} \\ \\ = {10}^{(1 - 4)} \\ \\ f = {10}^{ - 3} \: newton$

The force acting on the object is 10^-3 N.

Answer 2

Question :-

→ A force produces an acceleration of 5cm/s^2  when is act on the body of a mass 20 g  find the force in Newton?

Given :-

→ Mass = 20 g

→ Acceleration = 5 cm/s²

To Find :-

→ Force

Solution :-

→ As we know that

${\boxed{\underline{\underline{Force\;=\;ma}}}}}$

$\sf F = \dfrac{20}{1000} \times 5 \times 10^{-2} \\\\\\= F = 10^{-3} N$