Other Physics Answers

1. A billiard ball moving at 4.0 m/s [S] strikes two other billiard balls at rest. After the impact, the two target balls move with velocities of 1.6 m/s [S 60° E] and 2.8 m/s [SW]. The mass of each billiard ball is 5.0 x 10^-1 kg. Find:

a) The velocity of the incident billiard ball after the impact

b) The kinetic energy lost during the impact

Name the different factors that affect the period of mass oscillating on a spring. And why?

A mass suspended from one end of a helical spring undergoes vertical simple

harmonic motion with amplitude of 2.4 cm. If three complete oscillations are made

in 4.0 sec, determine the velocity and acceleration of the mass at (a) the equilibrium

position, (b) the position of maximum displacement.

Why do we add 1/3 the mass of a spring in finding the period of a spring performing

vertical oscillations?

Some power stations burn wood instead of fossil fuels to generate electricity. A coal burning power stations burn 6 million tons of coal per year. Call has an average energy value of 29.25MJ per kilogram. A hectare of agricultural land can produce nine tons of dry Willow wood per year. If this powerstation burn dry Willowood instead of coal how much agricultural land would be needed to grow the willow

Air flows into a gasoline engine at 95 kPa, 300 K. The air is then compressed with a volumetric compression ratio of 10:1. In the combustion process, 1300 kJ/kg of energy is released as the fuel burns. (a) Find the temperature after combustion in Kelvin.(b) Find the pressure after combustion in Kpa.

A solid sphere of mass 3kg and radius rolls down an inclined plane of height 4m. Assumethe surfaces are smooth, find the

(a) angular velocity of the sphere at the bottom of the incline.

(b) total rotational kinetic energy of the sphere.

A hoop of mass 0.1kg and radius 0.25m is rotating in a horizontal plane with angular

momentum of 4.0kgm2/s. A lump of clay of mass 0.2kg is placed (gently) on the hoop.

Show that the angular velocity of the hoop reduces

A solid cylindrical drum of mass M = 1.5kg and length L = 2.0m rotates about the central

diameter when a toque τ = 9.0 Nm acts on it to give it an angular velocity 𝜔𝑜=5 rad/s.

After the drum rotates through θ = 50 radians it acquires an angular velocity of ω =

30rad/s. for this drum

(a) Show that the radius R is 𝑅 = [- ]𝑀(𝜔2- 𝜔𝑜2) 38𝜃𝜏 𝐿212

(b) Calculate the radius of the drum

A bicycle wheel of mass 2.5kg and diameter of 80cm rotates at 500rev/min. For this

wheel, find

(a) angular velocity.

(b) moment of inertia about the axis of rotation

(c) energy it acquires