Answer to Question #311499 in Physics for Sara

Question #311499

A force F=100N points 300 with respects to the x-axis. The force acts on an object of mass 5kg.

a. what is the magnitude and direction of the acceleration of that object ? [3+2 marks]

b. what are the magnitudes of the x-components of the force and the acceleration (Fx and ax)?


1
Expert's answer
2022-03-15T10:35:39-0400

(a)

a=Fm=100N5kg=20m/s2a=\frac{F}{m}=\frac{100\:\rm N}{5\: \rm kg}=20\:\rm m/s^2

Acceleration directed at angle 3030^\circ with respects to the x-axis.

(b)

Fx=Fcosθ=100Ncos30=86.6NF_x=F\cos\theta=\rm 100\: N\cos 30^\circ=86.6\: N

ax=Fxm=86.6N5kg=17.3m/s2a_x=\frac{F_x}{m}=\frac{86.6\:\rm N}{5\: \rm kg}=17.3\:\rm m/s^2


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