What is the stopping distance for a vehicle, of mass m moving with speed v along a level road, if the co-efficient of friction between the tyres and the road is \(\mu\)?

A partice moves along the x-axis from x = 0 to x = 5m under the influence of a force given by F = 7 - 2x + 3x². Find the work done in the process.

Calculate the velocity of the bob of a simple pendulum at its mean position if it is able to rise to a vertical height of 10 cm. Take g = 9.8 m/s².

The potential energy of a spring when stretched through a distance x is 10J. What is the amount of work done on the same spring to sketch it through an additional distance 'x'?

One coolie takes 1 min to raise a box through a height 2m. Another takes 30 m/s for the same job and does the same amount of work. Which one of these two has a greater power?