Mechanics questions | form five Physics

A jumbo jet travelling horizontally at 50ms^​-1 at a height of 500m from sea level drops a luggage of food to a disaster area.

1. At what horizontal distance from the target should the luggage be dropped?
2. Find the velocity of the luggage as it hit the ground.

Answer / Solution

UNSOLVED

The equation of simple harmonic motion is given as ​ x = 6sin10πt + 8cos10πt, where ​ x is in centimeter and ​ t ​ in second. Determine the;

1. Amplitude.
2. Initial phase of motion.

Answer / Solution

UNSOLVED

1. Show that the total energy of a body executing simple harmonic motion is independent of time.
2. Find the periodic time of a cubical body of side 0.2m and mass 0.004kg floating in water then pressed and released such that it oscillates vertically.

Answer / Solution

UNSOLVED

1. Mention two characteristics of projectile motion.
2. If the range of the projectile is 120​ m and its time of flight is 4sec,  determine the angle of projection and its initial velocity of projection assuming that the acceleration due to gravity ​ g ​ = 10ms^​-2​ .

Answer / Solution

UNSOLVED

1. State the principles on which the rocket propulsion is based.
2. A jet engine on a test bed takes in 40​ kg of air per second at a velocity of 100​ ms^-1 and burns 0.80​ kg of fuel per second. After compression and heating the exhaust gases are ejected at 600​ ms^-1​ ​ relative to the aircraft. Calculate the thrust of the engine.

Answer / Solution

UNSOLVED