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Question
State Newton's second law of motion. Explain how this law may be used to define a unit of force, the newton (N).
(5 mark question)
State Newton's second law of motion. Explain how this law may be used to define a unit of force, the newton (N).
(5 mark question)
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Solution
Newton’s Second law of motion states that the force ‘F’ acting on a body of mass ‘m’ producing acceleration ‘a’ is equal to the product of the mass and acceleration of the body. That is, F = ma
lets Suppose a body of mass ‘m’ has initial velocity ‘u’ and after time ‘t’ its velocity becomes ‘v’.
The initial momentum is, Pi = mu
The final momentum is Pf = mv
The change in momentum with respect to time ‘t’ is = (mv - mu)/t
= m (v - u)/t = F …….(1)
We know, acceleration, a = (v - u)/t
So, (1) implies,
F = m(v – u)/t = ma
m is in kg
a is in m/s2
1kg m/s2=1N
Newton’s Second law of motion states that the force ‘F’ acting on a body of mass ‘m’ producing acceleration ‘a’ is equal to the product of the mass and acceleration of the body. That is, F = ma
lets Suppose a body of mass ‘m’ has initial velocity ‘u’ and after time ‘t’ its velocity becomes ‘v’.
The initial momentum is, Pi = mu
The final momentum is Pf = mv
The change in momentum with respect to time ‘t’ is = (mv - mu)/t
= m (v - u)/t = F …….(1)
We know, acceleration, a = (v - u)/t
So, (1) implies,
F = m(v – u)/t = ma
m is in kg
a is in m/s2
1kg m/s2=1N
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