- Chapter 1 – Measurements and Experimentation
- Chapter 2 Motion In One Dimension
- Chapter 3 Laws Of Motion
- Chapter 4 Pressure In Fluids And Atmospheric Pressure
- Chapter 5 Upthrust In Fluids Archimedes Principle And Floatation
- Chapter 6 Heat And Energy
- Chapter 7 Reflection Of Light
- Chapter 8 Propogation Of Sound Waves
- Chapter 9 Current Electricity
- Chapter 10 Magnetism
Selina Solutions Class 9 Physics Solutions for Exercise 3C in Chapter 3 - Chapter 3 Laws Of Motion
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Show that the rate of change of momentum = mass x acceleration. Under what condition does this relation hold?
Let force ‘F’ be applied on a body having mass ‘m’ for ‘t’ period of time because of which the velocity of the body changes from u to v.
Hence, the initial velocity of the body is ‘mu’ and final velocity of the body is ’mv’
The difference in the momentum of the body in ‘t’ seconds is given as mv-mu=m(v-u)
Rate of change of momentum = change in momentum/time
= [m(v-u)] /t - equation 1
As we know, acceleration ‘a’=(v-u)/t
Substituting this in the above equation 1, we get;
Rate of change of momentum = mass x acceleration = ma
The condition for this relation to hold true is that mass of the body remains constant.
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