Question

Match list (I) with List (II)

List I	List II
a) Recoil of gun	e) Newtons first law
b) Acceleration in one dimension and motion in two dimensions	f) Newtons second law
c) Definition of force	g) Projectile motion
d) Measurement of force	h) Newton’s third law

• A. $a\to e,b\to g,c\to h,d\to f.$
• B. $a\to h,b\to g,c\to e,d\to f.$
• C. $a\to e,b\to h,c\to g,d\to f.$
• D. $a\to h,b\to e,c\to g,d\to f.$

Answer 1

The correct option is B $a\to h,b\to g,c\to e,d\to f.$

• Recoil is caused due to the force exerted by the bullet on the gun which in turn is felt by the hand i.e. the force exerted by the gun on the bullet and that by the bullet on the gun form an action-reaction pair and follow Newton's 3rd law.
• In projectile motion, the body has acceleration only in the y-direction but there is motion in both x and y-directions.
• Definition of force comes from the Newton's 1st law which defines force as the physical quantity responsible for changing the state of motion of a body.
• Newton's 2nd law of motion quantifies force as the rate of change of momentum pet unit time. By this we get,

$\overrightarrow{F}=\frac{d\overrightarrow{P}}{dt}=m\frac{d\overrightarrow{v}}{dt}=ma$