Classical Mechanics Answers

A car of mass 50tonnes pulls another car of mass 10tonnes, starting from rest the 2 masses attain a velocity of 20m/s in 5s. The coefficient of friction on each car equals 5N/tonne. Calculate

a) Force exerted by the engine

b) time required to cover 100m

The earth revolves round the sun with constant speed on an orbit of radius r=1.5x10^11m. Find the earth's acceleration towards the sun.

A mass of 0.4kg is rotated by a string at constant speed v in a vertical circle. R=1m. If the minimum tension is 3N. Calculate

a) v

b) maximum tension when string is horizontal

.... Project

Write Applications of bernoull's principle.

With how they work

Two crossed belts on pulleys of diameters 3.6 m and 2.4 m connect two parallel shafts with centres 4.2 meters apart. The maximum tension in the belts is limited to 1200 N and friction between the belts and the pulley, μ = 0.26. The smaller pulley has a speed of 300 rev/min.

2.1. Find the power that can be transmitted. (8)

2.2. What would be transmitted if open belts were used. (8)

A locomotive with a mass of 3E5 is accelerating at 0.4m/s2 up an incline of 1 in 20. The rolling resistance is 20 kN of the locomotive. At the instant when the speed of the locomotive is 63 km/h, calculate:

6.1. The power required. (10)

6.2. The kinetic energy of the locomotive. (8)

A block is placed on top of a fixed smooth inclined plane inclined at 30° to horizontal. The length of plane is 5 m. The block slides down the plane and reaches at bottom. The speed of the block at bottom will be nearly

a particle moves towards a center of attraction starting from rest at a distance a from the centre. if its velocity when at any distance x from the centre varies as √{(a²-x²)/x³} then find the law of force?

Question 2 options:

Given the value for the universal gravitational constant, the average value for the acceleration due to gravity at the surface of Earth, and the radius of Earth, Earth’s mass is ____x10²⁴kg

On a rainy day, a girl broke up with her boyfriend after being together for eight years. They decided to separate at the place where everything about them began, at the same time. The boy is due north crying and running at a rate of 5 ft/sec and the girl is walking due east at rate of 1 ft/sec thinking if she made the right decision. How fast are they separating from each other 5 seconds after they started moving to a new life without each other?