Question

A force of 100 newtons is applied to an object having a weight of 9.8 newton- weight. Calculate the mass of an object and the acceleration produced in it.

Answer 1

1. Given data :

Weight of an object $\left(W\right)$= 9.8 newton-weight

Force $\left(F\right)$=$100N$

Acceleration due to gravity (g) =$9.8m/s^2$

Mass of the object (m) =?

2. Calculating the mass of the object:

Applying the formula of weight,

$Weight=mass\times gravity$

$W=mg$

$$\begin{gathered} 9.8N=m\times 9.8m/s^2 \\ m=\frac{9.8}{9.8}=1kg \end{gathered}$$

Hence, the mass of the object is 1kg.

2. Calculating the acceleration :

Let acceleration produced by the body be $a$.

According to newton's second law of motion,

$Force=mass\times acceleration$

$F=ma$

$$\begin{gathered} 100N=1kg\times a \\ a=\frac{100}{1}=100m/s^2 \end{gathered}$$

Hence, the acceleration of the body is $100m/s^2$.