State Newton’s second law of motion. Derive the relation between force and acceleration.A constant force acts on an object of mass 2 kg for 10 s and increases its velocity from 5 m/s to 10 m/s. Find the magnitude of applied force.
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Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
M=2kg=
t=10sec
u=5m/sec
v=10m/sec
v=u+at
a=(v-u)/t=(10-5)/10=1/2m/sec²
F=Ma=2×1/2=1kgm/sec²=1N
if this force is applied for 15sec then, velocity is
F=mv/t
v=(1×15)/2=7.5m/sec.
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the answer will be 1N
F=M(v-u)/t
=2×(10-5)/10
=1N
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