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
West by
South by
North by
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#