Mechanics | Relativity Answers

A lorry of mass 10Mg reaches a speed of 63km/h in 20s, starting from rest with uniform acceleration. It travels 2km at this speed and is then brought to rest in a distance of 125m.

Determine: (a) the momentum at 63km/h

(b) the accelerating and braking forces required.

Four identical spheres of masses 2.0 kg each and radius 0.25 m are situated at the four corners of a square. One side of the square measures 3.00 m. Find the moment of inertia about an axis. passing through one of the masses and perpendicular to its plane

A sound wave of frequency 300hz ttavess with speed 340m/s

Derive the momentum of inertia component of a rotating rigid body

n a cooling system, 50 litres of oil per hour are cooled from 120ᴼc to 25ᴼc by means of circulating water. if the water is not to rise in temperature by more than 6ᴼc, calculate the mass of water, in kilograms, required per hour. assume the oil to have a specific heat capacity of 2100j/kgᴼc and its density to be 880 kg/m³.

A system consists of a 2.0kg mass hanging from a vertical spring that has a spring constant of 8.0N/m. The system is displaced 20.0cm and continues to vibrate with no damping (meaning that there are no losses so the system oscillates forever).

a. Determine the period of oscillation.

b. Sketch a graph of two complete oscillations of the system as a

displacement-time graph.

c. On the graph, indicate where the maximum velocity and acceleration

will occur.

d. Calculate the maximum values for:

i. Spring force

ii. Acceleration of the mass

iii. Velocity of the mass

You wish to use a spring that has a constant of 25N/m to launch a 25.0g object. If the spring is initially compressed 5.0cm before launching the projectile, what is the maximum height the object will attain.

A roller coaster starts at 2.5m/s at a height of 25m above the ground. Determine the speed of the roller coaster when it is:

a. 20m above the ground;

b. 10m above the ground;

c. At ground level.

A billiard ball moving at 5.0m/s strikes a stationary ball of the same mass. After the collision, the ball moves at 4.33m/s at an angle of 30.0° with respect to the original line of motion. Determine whether or not the collision was perfectly elastic.

A bullet, of mass 55.0g is fired at 251m/s toward a block of mass 7.50kg that is sitting on the floor. The bullet becomes embedded in the block and the block and bullet combination slides 0.755m along the floor before coming to rest. Determine the coefficient of kinetic friction between the block and the floor.