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Two forces, with magnitudes 
and 
, act from the same point on an object. Calculate the magnitude of the resultant force R for the forces acting
in opposite directions,
at right angles to each other.
An object X rests on a smooth horizontal surface. Two horizontal forces act on X as shown in the figure below.
Not drawn to scale
A force of 
is applied to the right. A force of 
is applied at an angle of 
to the direction of the force.
Use the resolution of forces or a scale diagram to show that the magnitude of the resultant force acting on X is 
.
Determine the angle between the resultant force and the force.
A third force of 
is now applied to X in the opposite direction to the resultant force in (b).
The mass of X is 
. Calculate the magnitude of the acceleration of X.
.
