Mechanics | Relativity Answers

A smooth sphere A of mass 2m moving on a smooth horizontal floor with velocity (10 i+ 5 j) m/s impinges obliquely on a smooth stationary sphere B of mass m. At the instant of collision, the line joining the centres of the spheres is parallel to the vector a=3i+4j. Given that the coefficient of restitution between the two spheres is e and that the direction of motion of sphere A after impact makes an angle x with line of centres of the spheres. Show that :
a) (4-2e)tan x= 3
b) 3/4≤tanx≤3/2
c) Given that tan x ≤ 1, find e and hence find the velocities of A and B after impact.

in the given figure, the q1=-q2=100nC and q3=-q4=200nC and a=5.0cm. what are the x and y components of the net electrostatic force on particle 3?

Some European trucks run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of 350 π rad/s. One such flywheel is a solid, uniform cylinder with a mass of 640 kg and a radius of 0.914 m. (a) What is the kinetic energy of the flywheel after charging? (b) If the truck uses an average power of 7.0 kW, for how many minutes can it operate between chargings?

A wave train moves can travel through 76 cm of a tight spring in 0.23 seconds, and it forms
3 crests in a distance of 24.0 cm. It then enters a loose spring and its speed decreases to
1.1 m/s. What is the wavelength in the loose spring? (Which property remains the same?)

Two force act on a points object as follows 100N at 170° and 100N at 50° find the resultant

Prove that Newton's second law is dimensionally correct

A 6kg box is pushed across a flat table by a horizontal force F. If the box is moving at constant velocity of 0.35m/s and coefficient of kinetic friction is 0.12, find F. What is the magnitude of F if the box is moving at constant acceleration of 0.18 m/s^2?

Vivian is waiting for a taxi.
She is standing two metres from a stop street at t = 0 sec.
After one minute, t = 60 secs, she is still 2 metres from the stop street and after two minutes, at t = 120secs, she is also 2 metres from the stop street.
Describe the example on the following points
1. Displacement
2. Position
3. Velocity

A warehouse worker pulls a cart a distance of 30.0 m across the floor using rope, the cart has a mass of 185 kg and starts at rest. the worker pulls on the rope with a force of 80.0 N, 30.0 degree above the horizontal. The force of tension from the rope will do ...... KJ of work of the cart as it travels the 30.0 m

You drop a rock with a mass of 1.14 kg from the top of a bridge with a height of 199m, When the rock is a height of 65.6m above the ground, its kinetic energy will be a.bc * 10^d J. the values of a, b ,c and d are .........