A car of mass $1000 \mathrm{kg}$ is being towed by two people holding ropes. One pulls with a tension of $80 \mathrm{N}$ at an angle of $18°$ to the direction of motion. The other pulls at an angle of $25°$ to the direction of motion, as shown in the diagram. Find the tension, $T,$ in the second rope and the acceleration of the car.

A truck of mass $15000 \mathrm{kg}$ is being towed by two ropes. One pulls with a tension of $3000 \mathrm{N}$ at an angle of $20°$ to the direction of motion. The other pulls with a tension, $T,$ at an angle of $10°$ to the direction of motion. There is resistance of $500 \mathrm{N}$ against the motion, in the same line as the motion.

Draw the force diagram for this situation.

A truck of mass $15000 \mathrm{kg}$ is being towed by two ropes. One pulls with a tension of $3000 \mathrm{N}$ at an angle of $20°$ to the direction of motion. The other pulls with a tension, $T,$ at an angle of $10°$ to the direction of motion. There is resistance of $500 \mathrm{N}$ against the motion, in the same line as the motion.

Find $T$ and the acceleration of the truck.

A train of mass $230$ tonnes provides a driving force of $300000 \mathrm{N}$ to accelerate up a slope at an angle of $5°$ to the horizontal. The force diagram is shown. Find the acceleration of the train.

A log of mass $200 \mathrm{kg}$ is dragged up a slope at an angle of $13°$ to the horizontal by a rope attached to a truck. The rope is at an angle of $20°$ above the slope.

Draw the force diagram for this situation.

A log of mass $200 \mathrm{kg}$ is dragged up a slope at an angle of $13°$ to the horizontal by a rope attached to a truck. The rope is at an angle of $20°$ above the slope.

The log accelerates at $0.3{ \mathrm{ms}}^{-2}.$ Find the tension in the rope.