Question

A) a car is moving on a leveled road and gets its velocity doubled in this process:
i) how would the potential energy of the car change?
ii) how would the kinetic energy of the car change?
iii) how will its momentum change?

Answer 1

Answer:

i)the P.E of the car will double

ii)the K.E of the car will become 4 times the original

iii)momentum will also double

Explanation:

i) the potential energy of the car is given as mgh or mas in this case(where m-mass,a-accelaraion, s- distance). accelration is equal to velocity/time so the velocity will be directly proportional thus as the v doubles the potential energy is double

i)the formula for k.e is 1/2mv*2 so as the velocity is doubled the kinetic energy is 1/2m(2v)*2 which is equal to  1/2 mv*2 (4) thus its 4 times the k.e

iii) momentum's formula is given by p=mv here p and v are directly proportional thus as  p doubles ,the velocity doubles as well