Question

You push on a box with a force of 500 newtons directly north. Another person pushes the box with a force of 800 newtons directly east. What is the resultant force

Answer 1

Resultant force, F = 943.39 N

Explanation:

It is given that,

Force acting towards north direction,
`F_1=500\ N`

Force acting towards east direction,
`F_2=800\ N`

We need to find the resultant force acting on the box. The resultant of two forces is given by :

`F=√(F_1^2+F_2^2)`

`F=√((500)^2+800)^2)`

F = 943.39 N

So, the magnitude of the resultant force is 943.39 N. Hence, this is the required solution.

Answer 2

Resultant r=

`r = \sqrt{ {500}^(2) + {800}^(2) } \\ r = √(890000) \\r = 943.4 \: newtons \:`