Mechanics questions | form five Physics

A stone thrown horizontally from the top of a vertical cliff with velocity 15 ms^-1 is observed to strike the horizontal ground at a distance of 45 m from the base of the cliff. What is the

1. Height of the cliff
2. Angle the path of the stone makes with the ground at the moment of impact?

A ball is thrown vertically upward and caught by the thrower on its return. Sketch a graph of velocity (taking the upward direction as positive) against time for the whole of its motion, neglecting air resistance. How. from such a graph, would you obtain an estimate of the  height reached by the ball?

Calculate the tension in the cable which delivers the power of 23 kW when pulling a fully loaded elevator at constant speed of 0.75 m/s.

1. Why the outer rail of a curved railway track is raised over the inner?
2. Based on Newton’s laws of motion explain how a helicopter gets its lifting  force.

Determine the internal energy produced by a bullet of mass 10 g travelling horizontally at a speed of 1.0×10​² ms​^-1 which embed itself in a block of wood of mass 9.9×10​²g suspended freely by two strings.

Find the gravitational potential at a point on the earth’s surface if the values of universe
gravitational constant, mass and radius of the earth are 6.7×10​^-11​ Nm​²​ kg​^-2​, 6.0×10^-24​kg and 6.4×10​⁶​ m respectively.

A communication satellite occupies an orbit such that its period of revolution about the earth is 24 hours.

1. What is the physical significance of this period?
2. Establish an expression for the radius, R​_o of the orbit stating clearly the meaning of all symbols used.

An object falling freely from a given height, H hits an inclined plane at a height, h from the ground. If the direction of velocity of the object as a results of the impact becomes horizontal, what would be the value of , at the time it reaches the ground?

A ball is kicked with an initial velocity of 8.0 m/s such that, it just passes over the barrier which is 2.2 m high. Neglecting air resistance, calculate:
(i) the horizontal velocity of the ball.
(ii) the total time of flight.

A rocket of mass 20kg has 180kg of fuel. If the exhaust velocity of the fuel is 1.6 km/sec, calculate:

1. The minimum rate of fuel consumption that enable the rocket to rise from the ground.
2. The ultimate vertical speed gained by the rocket when the rate of fuel consumption is 2kg/sec.