Explain Newton’s second law of motion and with the help of an example show how it is used in sports.
Science
Class 9
1199
Qayanat
Newton’s second law of motion: The rate of change of momentum of an object is proportional to the applied unbalanced force in the direction of the force.
Assume Object of mass m, is moving along a straight line with an initial velocity u, It is uniformly accelerated to velocity v in time t by the application of force, F throughout the time t. Now
Initial momentum of the object = ρ1 = mu and Initial momentum of the object = ρ2 = mv
The change in momentum is ρ2 – ρ1 = mv – mu = m(v – u)
The rate of change in momentum ∝ m(v – u) / t
Now, Applied force F ∝ m(v – u) / t
F = km(v – u) / t
Since, accelaration a = (v – u) / t, therefore F = k ma, where k is the constant of proportionality and F is kg m/s2 = Newton
Use of Second law of Motion in sports :
In cricket field, the fielder gradually pulls his hands backward while catching a ball. The fielder catches the ball and gives swing to his hand to increase the time during which the high velocity of the moving ball decreases to zero. The acceleration of the ball is decreased and therefore the impact of catching the fast moving ball's reduced.
If not done so, then the fast moving ball will exert large force and may hurt the fielder.