A car has initial total mass 50 kg. Gases are ejected backward at relative speed 20 m s⁻¹ at 2 kg s⁻¹; total ejected gas is 20 kg. Coefficient of friction with road is μ = 0.1. Use the variable-mass thrust relation.

Physics · Center of maas , Momentum and Collision · variable mass system

JEE Advanced

A car has initial total mass 50 kg. Gases are ejected backward at relative speed 20 m s⁻¹ at 2 kg s⁻¹; total ejected gas is 20 kg. Coefficient of friction with road is μ = 0.1. Use the variable-mass thrust relation.

b72174f6-7093-4ded-8f22-b836022efd00-1791891511255.webp

Sub-question 1

Car starts moving after:

Options

Sub-question 2

Maximum speed of the car is: (Take ln(4/3)=0.28)

Options

Sub-question 3

Car stops after, measured from the instant it starts moving:

Options