Calculate the Height of the Bridge above the Water - Velocity Changes in the Subsequent Motion - Physics Assignment Help

Assignment Task :

QUESTION 1

(a) A stone is dropped from the deck of a bridge and strikes the water below after 3.4 seconds of free fall. Neglecting air resistance, calculate the height of the bridge above the water.

(b) If a piece of paper is dropped instead of a stone, describe how the paper's velocity changes in the subsequent motion. What are the forces that cause the changes? Explain what happens to the forces when the paper reaches its terminal velocity? 

QUESTION 2 
A block is resting on a rough inclined plane whose inclination to the horizontal is 15°. The force of 11 N applied parallel to the plane on which block is resting will just move it down. If the coefficient of friction between the block and the plane is 0.40, calculate the mass of the block. 

Rotational motion 
QUESTION 3
A spin-dryer with a load of washing rotates at 200 rpm until the power is turned off. It takes 2.5 min for it to come to rest. Given that the mass moment of inertia of the loaded spin-dryer is 1.72 kgm2, calculate the friction torque responsible for bringing the dryer to rest. 

QUESTION 5 
(a) A colliery lift cage of mass 0.5 tonne can be considered as a simple hoist system as shown. An investigation reveals that when raised from the bottom of the mineshaft, the cage accelerates uniformly for 10 seconds, travels for 70 seconds at constant speed of 3 ms-' and just before reaching the pit head, decelerates uniformly in 4 seconds. Frictional torque at the drum shaft is constant at 1500 Nm. For the winding drum, mass = 1.5 tonne, diameter = 3 rn. radius of gyration k = 1.4 m. 
Determine: 
(i) The acceleration of the cage for the first 10 seconds.

(ii) The deceleration of the cage at the last 4 seconds.

(iii) The depth of the mineshaft. 

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