Mechanics | Relativity Answers

You throw a ball vertically upward with a velocity 10 m/s. Find the maximum height it
will reach.

A car was moving due to north with a velocity of 40 km per hour. In which direction
and with what speed the car will be moving, as seen from another car moving
towards east with a speed of 30 km per hour?

Spring constant
What is the spring constant of a spring which tension force is 50N when displaced 5cm ?

Shelf in equilibrium
A uniform shelf of weight 20 N and of width 0.6 m is hinged horizontally to a vertical wall and suspended by a cable as shown in the figure. What is the tension in the cable?

Properties of Materials
A sample material is pulled by a certain force so that an elastic elongation is recorded. What is the ratio of deformation between loaded and unloaded conditions known as?

1. spring constant

2. Young modulus

3. stress

4. strain

Pressure and force
A pneumatic ram has a chamber piston diameter of 150 mm and is subjected to a variable source of pressure for actuation. What pressure will be required to produce an actuation force of 2 kN (consider the cylinder to be friction less)

Friction coefficient
The force applied in pulling an object on a smooth surface is gradually increased until the object is just about to slip. Which friction coefficient would apply in this situation?

This question refers to: Laws of motion
A mass of 2 kg travelling at 2 m/s is struck by a mass of 4 kg travelling at 3 m/s. If the coefficient of restitution for the two materials is 0.4, calculate their final velocities.
Give the final velocity value in m/s of the 2kg mass

Vibrations
A horizontal frictionless mass-spring system is set to oscillate at 10 Hz. If the spring constant is 450 N/m, what is the mass of the object?

Vibrations
A spring is used to suspend a 3kg load. At rest the spring is extended by 12mm. calculate the spring constant and the frequency of oscillation of this system