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?

1 Answer
Jun 8, 2017

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#