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Question

A particle is simultaneously acted upon by two forces of magnitudes 4 N and 3 N. The net force on the particle is

A
7 N
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B
5 N
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C
1 N
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D
Between 1 N snd 7 N.
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Solution

The correct option is D Between 1 N snd 7 N.
Let the two forces acting on the particle be P and Q of magnitude 4 N and 3 N and let R be the resultant force due to both forces. Then
|R|=P2+Q2+2PQcosθ
R depends upon P,Q,θ
here P=4,Q=3
Rmax=P+Q=7 as the maximum value of cosθ=1
Rmin=PQ=1 as minimum value of cosθ=1

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