A force F 0 causes an acceleration of 11 m/s 2 when it acts on an object of mass

Question

A force F0 causes an acceleration of 11 m/s2 when it acts on an object of mass m sliding on a frictionless surface. Find the magnitude of the acceleration of the same object in the circumstances shown in each figure below.
Figure (a)
................m/s2
Figure (b)
................m/s2

A force F0 causes an acceleration of 11 m/s2 when it acts on an object of mass m sliding on a frictionless surface. Find the magnitude of the acceleration of the same object in the circumstances shown in each figure below.

Explanation / Answer

a) sqrt ( Fo^2 + F0^2)

= Fo sqrt (2) = 15.55 m = F

==> ma = 15.55 m

==> a = 15.55 m/s^2

For part (b) you must use cosine theorem.

Draw force vector diagram. That would be a triangle with sides

a=Fo,

b=2Fo

and angle C=180-45=135 degrees.

You must find the length of side c. Cosine theorem:

c

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