A car of weight $1.4\times {10}^4\mathrm{N}$ is moving up an inclined plane at a constant speed of $6.2 {\mathrm{ms}}^{-1}$. The incline makes an angle of $5°$ to the horizon. A frictional force of $600 \mathrm{N}$ acts on the car in a direction opposite to the velocity.

The power supplied by the car is $15 \mathrm{kW}$. Determine the efficiency of the car engine in pushing the car uphill.

A car of weight $1.4\times {10}^4\mathrm{N}$ is moving up an inclined plane at a constant speed of $6.2 {\mathrm{ms}}^{-1}$. The incline makes an angle of $5°$ to the horizon. A frictional force of $600 \mathrm{N}$ acts on the car in a direction opposite to the velocity.

The car is now allowed to roll down the incline from rest with the engine off. The only resistance force on the car is assumed to be proportional to speed. On a copy the axis below, draw sketch graphs to show the variation with time of the speed of the car.

A car of weight $1.4\times {10}^4\mathrm{N}$ is moving up an inclined plane at a constant speed of $6.2 {\mathrm{ms}}^{-1}$. The incline makes an angle of $5°$ to the horizon. A frictional force of $600 \mathrm{N}$ acts on the car in a direction opposite to the velocity.

The car is now allowed to roll down the incline from rest with the engine off. The only resistance force on the car is assumed to be proportional to speed. On a copy the axis below, draw sketch graphs to show the variation with time of the acceleration of the car.

A bullet of mass $0.090 \mathrm{kg}$is shot at a wooden block of mass $1.20 \mathrm{kg}$ that is hanging vertically at the end of a string.

The bullet enters the block with the speed$130 \mathrm{m}/\mathrm{s}$and leaves it with a speed of $90 \mathrm{m}/\mathrm{s}$ . The mass of the block does not change appreciably as a result of the hole made by the bullet.

Calculate the change in the momentum of the bullet.

A bullet of mass $0.090 \mathrm{kg}$is shot at a wooden block of mass $1.20 \mathrm{kg}$ that is hanging vertically at the end of a string.

The bullet enters the block with the speed$130 \mathrm{m}/\mathrm{s}$and leaves it with a speed of $90 \mathrm{m}/\mathrm{s}$ . The mass of the block does not change appreciably as a result of the hole made by the bullet.

Show the initial velocity of the block is $3.0 {\mathrm{ms}}^{-1}$

A bullet of mass $0.090 \mathrm{kg}$is shot at a wooden block of mass $1.20 \mathrm{kg}$ that is hanging vertically at the end of a string.

The bullet enters the block with the speed$130 \mathrm{m}/\mathrm{s}$and leaves it with a speed of $90 \mathrm{m}/\mathrm{s}$ . The mass of the block does not change appreciably as a result of the hole made by the bullet.

Estimate the loss of kinetic energy in the bullet block system

A bullet of mass $0.090 \mathrm{kg}$is shot at a wooden block of mass $1.20 \mathrm{kg}$ that is hanging vertically at the end of a string. The bullet enters the block with the speed$130 \mathrm{m}/\mathrm{s}$and leaves it with a speed of $90 \mathrm{m}/\mathrm{s}$ . The mass of the block does not change appreciably as a result of the hole made by the bullet. As a result of the impact, the block is displaced. The maximum angle that the string makes with the vertical is $\theta$. The length of the string is $0.8 \mathrm{m}$. 

Show that $\theta =65°$

A bullet of mass $0.090 \mathrm{kg}$is shot at a wooden block of mass $1.20 \mathrm{kg}$ that is hanging vertically at the end of a string.

The bullet enters the block with the speed$130 \mathrm{m}/\mathrm{s}$and leaves it with a speed of $90 \mathrm{m}/\mathrm{s}$ . The mass of the block does not change appreciably as a result of the hole made by the bullet.

As a result of the impact, the block is displaced. The maximum angle that the string makes with the vertical is $\theta$. The length of the string is $0.8 \mathrm{m}$. 

State and explain whether the block is in equilibrium

A bullet of mass $0.090 \mathrm{kg}$is shot at a wooden block of mass $1.20 \mathrm{kg}$ that is hanging vertically at the end of a string.

The bullet enters the block with the speed$130 \mathrm{m}/\mathrm{s}$and leaves it with a speed of $90 \mathrm{m}/\mathrm{s}$ . The mass of the block does not change appreciably as a result of the hole made by the bullet. As a result of the impact, the block is displaced. The maximum angle that the string makes with the vertical is $\theta$. The length of the string is $0.8 \mathrm{m}$. 

Calculate the tension in string.