Mechanics | Relativity Answers

Two particles of masses 6 kg and 2 kg are conceded by a light inextensible string passing over a smooth pulley. The system is released from rest with the string taut. Find the speeds of the particle when the heavier one has descended 2m

A pump with a power out put of 600W raises water from a lak through a height of 3m and delivers if with a velocity of 6 m/s what mass of water is removed from the lake in one minute ?

A car of weight 11000N drives up a hill that is 500m high and is 3.75km long at a constant speed of 20ms-1. The friction force acting on the car is 550N


a) Calculate the time for the car to get to the top
b) Calculate the work done in getting to the top of the hill (taking into account friction)
c) Calculate the power developed by the engine in getting to the top of the hill using your answers from a and b
d) From the top of the hill the road goes in a straight line downwards for 6.40km, dropping a total height of 500m. To save fuel the driver switches off the engine and the car free wheels down the hill.
Calculate the speed of the car at the bottom of the hill if the force of friction is 500N
e) Calculate acceleration of the car down the hill

a connon ball has a range R on a horizontal plane.If h and h' are the greatest heights in the two paths for which this is possible ,then

The lap joint is fastened togetherusing two bolts. determine the required diameter of the bolts if the allowable shear stress for the bolts is 60MPa and the allowable bearing stress in the plates is 110MPa. Assume each bolt supports an equal portion of the load and the thickness of each plate is 20 mm. Express the answer in millimeters.

A metal bar is loaded by an axial force P. The bar is circular in cross-section with diameter 1.25 inches. If the normal stress is 5000 psi., what is the load P in pounds?

what force is required to punch a 25mm diameter hole through a 15mm thick plate. The ultimate shear stress of the material of the plate is 380 MPa. Express the answer in kN.

Horizontal Component=7.5
Vertical Component=13.0
Assuming that air resistance is neglected find out the mximum height which the ball rises

if your car travels 70km/hr,how may km will you go in 1 hour and 45 minutes

A 10g bullet is fired horizontally into a 300g wooden block initially at rest on a horizontal surface and becomes embedded in it. The coefficient of friction between block and surface is (0.50). The combined system slides 4.0m before stopping. With what speed did the bullet strike the block?