Mechanics | Relativity Answers

A flat plate having dimensions 2m ×2m slides down an inclined plane at an angle of 1 rad to the horizontal at a speed of 6m/sec. The inclined plane is lubricated by a thin film of oil having a viscosity of 30 m pa.s. The plate has a uniform thickness of 20mm and a density of 40000km/m3. Determine the thickness of the lubricating oil film.

carbon tetrachloride CCl_4 occupies a volume of 0.001 m^3 with a mass of 1.6 kg at a temp of 20^o C . Determine its density and specify volume at given temp?

A mass of 2kg of water is contained in a vessel having a volume of 0.2m^3 at 4℃. Determine the density and the specific volume of water at the given temp.

A mass of 2 slug of water is contained in a vessel having a volume of 1.03〖ft〗^3 at 39.2℉. Determine the density and specific volume of water at given temp.

If the same jet fighter (100,000 kg) is traveling at a height of 10,000 meters, what would the potential energy be?

A particle of mass m is constrained to move on

the boundary of an ellipse x^2 + y^2 = 2. Identify

the generalize.d coordinates of this system.

An insulated cup contains 330 g of water at 20 °C. A 100 g sample of an unknown material at 76 °C is added. The final temperature of the water and metal is 47 °C. 

Specific heat capacity of water = 4160 J/kg-°C

What is the specific heat capacity of the unknown material {_1} J/kg-°C

A body of mass 4 kg, projected at an angle of 65° from the ground with an initial velocity of 36 m/s, acceleration due to gravity is g = 9.81 m/s², determine:

a) time of flight 

b) maximum horizontal distance covered 

c) maximum vertical distance covered 

In a machine, an effort of 50 N lifted a load of 350 N. If effort lost due to friction at this load is 12.5 N. Find

a) Ideal Effort 

b) Mechanical Advantage 

c) Velocity Ratio 

A crate has a mass of 42 kg is placed on an 50° incline surface. The coefficient of friction between the crate and the surface is 0.85. If the crate is pushed down the incline at a rate of 2.25 m/s², determine:

a) the normal force 

b) the frictional force 

c) the pulling force P