Mechanics | Relativity Answers

wheel 2.0 m in diameter lies in the vertical plane and rotates about its central axis
with a constant angular acceleration of 4.0 rad s−2. The wheel starts at rest at t = 0 and
the radius vector of a point A on the wheel makes an angle of 60º with the horizontal at
this instant. Calculate the angular speed of the wheel, the angular position of the point A
and the total acceleration at t = 2.0s.

box of mass 8.0 kg slides at a speed of 10 ms−1 across a smooth level floor before it
encounters a rough patch of length 3.0 m. The frictional force on the box due to this
part of the floor is 70 N. What is the speed of the box when it leaves this rough surface?
What length of the rough surface would bring the box completely to rest?

ball having a mass of 0.5 kg is moving towards the east with a speed of 8.0 ms-1.
After being hit by a bat it changes its direction and starts moving towards the north with
a speed of 6.0 ms−1. If the time of impact is 0.1 s, calculate the impulse and average
force acting on the ball.

A 10 kg box is being pushed by a 20N force. what is the coefficient of kinetic friction?

Water flows out of a pipe at the rate of 3.0 cm^3/s. Determine the velocity of the H2O at a point where its diameter is a) 0.50 cm & b) 0.80 cm

H2O is flowing smoothly through a closed pipe system. At one point the speed of the H2O is 3.0 m/s while at another point, 1.0 m higher the speed is 4.0 m/s. If the pressure is 20 kPa at the lower point, what is the pressure at the upper point? What would be the pressure at the upper point be if the H2O were to stop flowing and the pressure at lower point were 18 kPa?

A crate of mass 30.0 kg is pulled by a force of 180 N up an inclined plane which makes
an angle of 30º with the horizon. The coefficient of kinetic friction between the plane
and the crate is μk = 0.225. If the crates starts from rest, calculate its speed after it has
been pulled 15.0 m. Draw the free body diagram

The surface pressure on Venus is 92.00 atm, and the acceleration due to gravity there is 0.894 g. In a future exploratory mission, an upright cylindrical tank of benzene is sealed at the top but still pressurized at 92.00 atm just above the benzene. The tank has a diameter of 1.57 m , and the benzene column is 11.90 m tall. Ignore any effects due to the very high temperature on Venus.
What total force is exerted on the inside surface of the bottom of the tank?
Express your answer using four significant figures.

compare and contrast the advantage and disadvantage of immersion method and specific gravity method

A cubical block of wood 10 cm on a side & rho wood= 0.5 g/cm^3 floats in a jar of water. Oil of density 0.8 g/cm^3 is poured into the water until the top of the oil layer is 4 cm below the top of the block. How deep is the oil?