Mechanics | Relativity Answers

A car is accelerated uniformly along the horizontal plane from 0 to 90km/hr during 5 seconds. Find at what angle to the horizon the force acting on the driver from the seat is directed during such acceleration 

A 2-kg disk has a radius of 18 cm and rotates with an angular acceleration of 12 rad/s2

about 

an axis through its center and perpendicular to the plane of the disk. Determine the tangential 

force at the rim of the disk.

a train changes its speed uniformly from 60 mph to 30 mph in a distance of 1,500 ft. what is its acceleration

A uniform rod 8m long weighing 5kg is supported horizontally by two vertical parallel strings at P and Q, and at distances of 2m, and 6m from one end. Weights of 1kg, 1.5kg and 2kg are attached at distances of 1m, 5m and 7m respectively from the same end. Find the tension in each vertical string

The external and internal diameters of the impeller of a centrifugal pump are 600 mm and 300

mm respectively. The inlet and outlet vane angles are 30° and 40° respectively. The pump

delivers 150 litres/s of water. If water enters at a velocity of 2 m/s radically, find the speed of

impeller and work done by the impeller. Assume velocity of flow remains constant throughout

the impeller.

A man descends to the ground from an aeroplane with the help of a parachute which is

hemispherical having a diameter of 4m against the resistance of the air with a uniform velocity

of 25m/s. Find the weight of the man if the weight of the parachute is 10N. Take coefficient of

drag CD= 0.6 and density of air = 1.25kg/m3. 

1. The Value of the property X of a certain substance is given by X=X₀+0.5_t+(2.0*10^-3)_t in ⁰C measured in a gas thermometer scale. What will be the celsius temperature defined which corresponds to a temperature of 50⁰C on the gas thermometer scale?

. A particle moving in the xy plane undergoes a displacement (2.0i+3.0j) m as a constant force F (5.0i+ 2.0) acts on the particle. a) Calculate the magnitudes of the displacement and the force b) Calculate the work done by c) Calculate the angle between the force and displacement.

A rotating wheel has a radius of 6 ft and 6 in. A point on the circumference of the 

wheel moves 30ft in 2 seconds. Find the angular velocity of the wheel?

State two conditions for a light Ray to undergo total internal reflection at a boundary between two transparent substances