# A force of 20 N accelerates a 2 kg object. How much force is needed to give the same acceleration to a 20 kg object?

##### 1 Answer
Jan 5, 2017

The force required is $\text{200 Newtons}$.

#### Explanation:

Use the formula

$F = m a$

to solve this problem. In the case of the $\text{20 N}$ force, we have

$\text{20 N" = "2 kg} \times a$

so

$a = {\text{10 m/s}}^{2} \to$ read this as $10$ meters per second squared, or $10$ meters per second every second

Applying the formula again in case of the $\text{20 kg}$ object, we have

$F = m a$

$F = {\text{20 kg" xx "10 m/s}}^{2}$

$F = \text{200 N}$