NCERT Solutions for Chapter: Force and Laws of Motion, Exercise 1: Exercise

Which of these represents a balanced force?

Which of these will produce the maximum acceleration?

A roller-coaster car stops above a vertical drop. Suddenly it falls under gravity. The drop is $60$metres high and at the bottom of the drop the car travels at $125 \mathrm{km}/\mathrm{h}$. The acceleration experienced by the people in the car is $10 \mathrm{m} {\mathrm{s}}^{-2}$. The mass of the car and its passengers is $1210 \mathrm{kg}$. Calculate the force exerted on the car and its passengers. 

The Newton's first law of motion is contained in the second law of motion.

A crane is used to lift a steel girder to the top of a high building.

A motor is fitted to the crane. This motor accelerates the girder at $0.3 \mathrm{m} {\mathrm{s}}^{-2}$. Calculate the force which the crane applies to the girder to produce this acceleration.

Represent a force of $5 \mathrm{N}$ acting along $45°$ north to east direction graphically.

An unloaded truck weighing $2000 \mathrm{k}\mathrm{g}$ has a maximum acceleration of $0.5 \mathrm{m} {\mathrm{s}}^{-2}$. What is the maximum acceleration when it is carrying a load of $2000 \mathrm{k}\mathrm{g}$? 

A body of mass $500 \mathrm{g}$ is accelerated at $2 \mathrm{m} {\mathrm{s}}^{-2}$. Find the magnitude of the accelerating force.