Mechanics | Relativity Answers

 A fluid flow is given by : V = x * y ^ 2 * i - 2y * z ^ 2 * j - (z * y ^ 2 - (2z ^ 3)/3) * k. Prove that it is a case of possible steady incompressible fluid flow Calculate the velocity and acceleration at the point [1, 2, 3] .

You have a certain set-up of a vertical spring, and when hung freely the equilibrium position

reading is 30cm on earth. If you take the same set-up on the moon surface, would the equilibrium

position be more than, less than or equal to 30cm? Explain.

 a) State Snell’s law in equation form.                                                          

b) Light crosses from air to water. The angle of incidence is 75⁰. Draw a schematic diagram of this

event.                                     

 c) Calculate the angle of refraction for the event in part b). Take the refractive index of water to be 4/3.   

1)   A glass window is exactly 20 cm by 30 cm at 10 ⁰C. By how much would its area increase in cm² when

its temperature is 40 ⁰C? Take the linear expansivity of glass to = 9 X 10^-6 / C⁰.

1)   Compare the mercury-in-glass thermometer to the alcohol-in-glass thermometer with respect to: safety,

operating range and sensitivity.

 An elevator weighing 12 kN starts from rest and acquires an upward velocity of 2 m/sec in a distance of 5 m. If the acceleration is constant, what is the tension in the cable? *

A rocket of mass 4×10⁴ kg, when full with fuel at launching pad, it's fired vertically upward and a burnout mass of 2×10⁴kg gases are exhausted at the rate of 20 slugs/second, with a velocity of 6×10³ m/s relative to the rocket (exhaust velocity) both quantities are assumed to be constant while the fuel is burning, what's the thrust, neglecting all external forces, what would be the speed of the rocket at burnout?

Determine the lateral magnification of an object with a distance equal to 186 cm if the image’s distance is observed to be equal to 27.4 cm, considering that both are relative from the vertex.

A stone is thrown upward from the top of a building at an angle of 30.0° to the

horizontal and with an initial speed of 20.0 m/s. The point of release is 45.0 m above the

ground.

a. How long does it take to hit the ground?

b. Find the stone’s speed impact.

c. Find the horizontal range of the stone.

A stone is thrown upward from the top of a building at an angle of 30.0° to the

horizontal and with an initial speed of 20.0 m/s. The point of release is 45.0 m above the

ground.

a. How long does it take to hit the ground?

b. Find the stone’s speed impact.

c. Find the horizontal range of the stone.