State 2nd law of motion. How can this law be used to measure the force acting on an object
Answers
The rate of change of momentum is directly proportional to the force applied on the system. Force appliedis directly proportional to the product of mass and acceleration . ... Units ofForce are given by the units of mass and acceleration.
F=ma
p=MV
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Hi,
This is AbhijithPrakash,
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According to Newton's second law of motion, rate of change of linear momentum of a body is directly proportional to the external force applied on the body and this change takes place always in the direction of the applied force.
DERIVATION FOR SECOND LAW OF MOTION
Let,
m= mass of the body
u= initial velocity of the body
v= final velocity of the body
t= time for which the force is applied
F = an external force applied on body
Initial momentum of the body, p1= mu
Final momentum of the body, p2= mv
Rate of change of linear momentum of the body,
p2-p1= mv-mu= m(v-u)/t
We know that, v-u/t= a
Rate of change of linear momentum= ma
According to Newton's second law of motion,
Rate of change of linear momentum ∝ force applied
Thus,
F∝ma
F=kma
k= constant
Unit force is that much force which produces unit acceleration Inna body of unit mass, thus,
F= kma
k=1
F= 1×1×1
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=> F= ma
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Unit of force= Newton, N
Onw Newton force is that much force which produces an acceleration of 1m/s^2 in a body of mass 1 kg.
Unit of force according to the formula,
When,
m= 1kg
a= 1m/s^2
F= ma
F= 1kg×1m/s^2
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F= 1 kg m/s^2
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