Mechanics | Relativity Answers

Using dimensional analysis, verify the correctness of
1. v = 2gh and
2. v = ut/2 + at^2

a feather of mass 50g and a stone of mass 75g fall from the top of a cliff at the same time. if the height of the cliff is 32m, calculate the time taken by the stone to reach the ground neglecting air resistance. (g = 10m/s2)

The period T of a simple pendulum depends on the length L, mass, M of the pendulum bob, and the acceleration due to gravity g. using the method of dimensions, deduce the dimension of T

a GAS EXPANDS BY 1.2 LITRES AT A CONSTANT PRESSURE OF 2.5 BAR. DURING THE EXPANSION, 500j OF HEAT IS ADDED. FIND THE CHANGE IN THE INTERNAL ENERGY OF THE GAS

prove that force equals the rate of change of momentum

Which is the smaller temperature increment. Is it a degree celsius or a degree Fahrenheit. Explain your answers

Water of mass 1002kg is poured in a calorimeter heated with an electric heater rated 1000w. if the initial temperature of water is 25 o C, calculate the time it will take to raise the temperature to 75oC. (neglect the specific heat capacity of calorimeter and take the specific heat capacity of water to be 4200jkg-1k-1

A bullet of mass 20kg with a velocity of 15m/s hits a wall and penetrated through a distance of 70cm. what is the bullets retarding force and retardation

An ice cube at 0 oC is dropped on a ground and it melts to water at 0 oC. If all the kinetic energy of ice went into melting it, from what height did it fall

A body of mass 5kg is released from a height of 20m. calculate its velocity at the ground and when it is 10m from the ground. What is the average resistant force exerted by the sand when the body penetrates a distance of 3/4m