Question

Which of the following situations involves the Newtons second law of motion? *
1 point
a) A force can stop a lighter vehicle as well as a heavier vehicle which are moving
b) A force can accelerate a lighter vehicle more easily than a heavier vehicle which are moving
c)A force exerted by a lighter vehicle on collision with heavier vehicle results in both the vehicles coming to standstill
d)A force exerted by the escaping air from a balloon in the downward direction makes the balloon to go upwards​

Answer 1

Answer:

option c

Explanation:

best describes the newton 2nd law of motion

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Answer 2

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→ Newton's second law of motion :-

The rate of change of momentum of any body directly proportional to the external force applied on it .

★ Mathematically-

→ dp/dt is directly proportional to F

$\implies \sf f \: = \: k \: \frac{dp}{dt}$

$\implies \sf \: f = k \frac{d(mv)}{dt} \\ \\ \implies \sf \: f = k \: m \: \frac{dv}{dt}$

$\sf \implies \: f \: = \: k \: ma \\ \\ here \: k \: is \: constant \: = \: 1 \\ \\ \bf \implies \: f \: = \: ma$

Now , let's solve the question:-

b) A force can accelerate a lighter vehicle more easily than a heavier vehicle which are moving

→ Newton's second law will be applicable in this situation .

→ we know that , F = ma

hence , a = F/m

hence , more the mass the less acceleration and less the mass the higher the acceleration .