Embibe Experts Solutions for Chapter: Laws of Motion, Exercise 1: BEGINNER'S BOX - 1

A force of $72 \mathrm{dynes}$ is inclined at an angle of $60°$ to the horizontal, find the acceleration in a mass of $9 \mathrm{g}$ which moves under the effect of this force in the horizontal direction.

A constant retarding force of $50 \mathrm{N}$ is applied to a body of mass $20 \mathrm{k}\mathrm{g}$ moving initially with a speed of $15 \mathrm{m}{\mathrm{s}}^{–1}$. How long does the body take to stop?

A constant force acting on a body of mass $3 \mathrm{kg}$ changes its speed from $2 \mathrm{m} {\mathrm{s}}^{-1}$ to $3.5 \mathrm{m} {\mathrm{s}}^{-1}$ in $25 \mathrm{s}$ in the direction of the motion of the body. What is the magnitude and direction of the force?

A body of mass $5 \mathrm{k}\mathrm{g}$ is acted upon by two perpendicular forces $8 \mathrm{N}$ and $6 \mathrm{N}$. Give the magnitude and direction of the acceleration of the body.

A machine gun has a mass of $20 \mathrm{kg}$. It fires $35 \mathrm{g}$ bullets at the rate of $400$ bullets per minute with a speed of $400 \mathrm{m} {\mathrm{s}}^{-1}$. What average force must be applied to the gun to keep it in position?

A body of mass $0.25 \mathrm{kg}$ moving with a velocity $12 \mathrm{m} {\mathrm{s}}^{-1}$ is stopped by applying a force of $0.6 \mathrm{N}$. Calculate the time taken to stop the body. Also, calculate the impulse of this force.