Embibe Experts Solutions for Chapter: Laws of Motion, Exercise 1: Exercise-1

An infinite number of springs having force constants as $K, 2K, 4K, 8K,\dots .\infty$ respectively are connected in series; then equivalenț spring constant is

A particle of mass $m$ moving with velocity $V$ rebounds with the same speed after making impact with a wall. The change in its momentum shall be

A body of mass $0.5 \mathrm{kg}$ is projected under gravity with a speed of $98 {\mathrm{ms}}^{-1}$ at an angle of $60°$ with the vertical. The change in momentum [in magnitude] of the body when it returns on ground is

If a ball of mass $10 \mathrm{gm}$ strikes perpendicular on a hard floor with speed $5 \mathrm{m} {\sec }^{-1}$ and rebounds with the same speed and remains in contact with the floor for $1 \sec ,$ the force applied on the ball by the floor is-

Which of the following relation(s) is/are always correct? [$P=$ $\text{linear momentum}$]

With the force on a rocket which is ejecting gases with a relative velocity of $300 \mathrm{m} {\mathrm{s}}^{-1}$ is $210 \mathrm{N}.$ Then the rate of combustion of the fuel will be:

A belt is moving horizontally with a speed of $2 \mathrm{m} {\mathrm{s}}^{-1}$ and sand is falling on it at the rate of $150 \mathrm{g} {\mathrm{s}}^{-1}.$ The additional force require to keep constant the speed of belt is

Fuel is consumed at the rate of $100 \mathrm{kg} {\mathrm{s}}^{-1}$ in a rocket. The exhaust gases are ejected as a speed of $4.5\times {10}^4 \mathrm{m} {\mathrm{s}}^{-1}.$ What is the thrust experience by the rocket,