A body of mass 5 kg is acted upon by two perpendicular forces of
magnitude 8 N and 6 N. Find the magnitude and direction of the
acceleration.
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Answered by
4
F=ma
in first case force8N
m=5
8=5*a
a=8/5
in second case
f=6N
6=5*a
a=6/5
in first case force8N
m=5
8=5*a
a=8/5
in second case
f=6N
6=5*a
a=6/5
Answered by
1
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Mass of the body, m = 5 kg
The given situation can be represent as shown in attachment (please see attached file)
The resultant of two forces is given as:
R = √{(8)^2 + (-6)^2}= √(64+36) = 10 N
θ is the angle made by R with the force of 8 N
Θ = tan^-1(-6/8) = -36.87°
The negative sign indicates that θ is in the clockwise direction with respect to the force of magnitude 8 N.
As per Newton’s second law of motion, the acceleration (a) of the body is given as:
F = ma
=> a= F/m = 10/5 = 2 m/s^2
I hope, this will help you
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