Question

An object of mass `m=20kg` is pushed by four forces; east by a `10N` force, west by a `30N` force, south by a `20N` force and north by `20N` force. What is the magnitude of the acceleration of the object?

Answer 1

Let the object be located at the origin of coordinate system.
It is being acting upon by four forces
East by `10N`,
West by `30N`,
South by `20N`, and
North by `20N`

Net force acting on the object can be written as

`vecF_"net"=10hati-30hati-20hatj+20hatj`
`vecF_"net"=-20hati`

Using Newton's Second Law of motion we get acceleration

`veca=vecF_"net"/m`
`veca=(-20hati)/20`
`|veca|=1ms^-2`