Mechanics | Relativity Answers

The displacement of a simple harmonic oscillator is represented by x=a sin wt. If the displacement x and velocity v are plotted in rectangular axes, then prove that-
(i) the locus of (x,v ) points will be ellipse and
(ii) this ellipse represents a path of constant energy

A bullet moving with a speed of 200m/s strikes abag of sand & remains in it. the masses of bag& bullet are 4.5kg&500g respectively. If the sand bag is free to move its speed is

two bodies of masses 2kg &8kg have kinetic energies 16J&24J respectively. when they are moving in the same direction . they collide each other. the total momentum after collision is

A man who weighs 200 lbs stands 40 ft from one end of a uniform 200-ft scaffold. A 60 lb pile of bricks has its center of gravity 70 ft from the same end, and the scaffold weighs 90 lbs. If the scaffold supported at the two ends, find the force on each support.

An object is thrown vertically up. Neglecting air resistance, how is the change in the potential energy of the object related the change in its kinetic energy?

a woman has hiked 12 km in a straight line and 7.0 km west of where she started determine two possible directions in which she hiked and her distance north or south of her starting position of each case

Two particles, each of mass 0.000290kg and speed 5.46 m/s, travel in opposite directions along parallel lines separated by 4.20 cm. (a) What is the magnitude L of the angular momentum
of the two-particle system around a point midway between the two
lines? (b) Does the value of L change if the point about which it is
calculated is not midway between the lines? If the direction of
travel for one of the particles is reversed,what would be (c) the an-
swer to part (a) and (d) the answer to part (b)?

a uniform ladder weighing 330N is leaning against a wall. the ladder slips when the angle with the floor 50degrees. assuming the coefficient of static friction at the wall and the floor are the same,obtain a value of coefficient of static friction.

30 j of work is used to stretch a spring from 2 cm to 4 cm. how much will it take to stretch it from 4 cm to 6 cm? use the equation u=-1/2kx^2

A car of mass 1100 Kg drives with a velocity such that it has a kinetic energy of 400 kJ ( see the Figure). Find the velocity. If the car is raised with a carne how high should it be lifted in the standard gravitational field (9.81 m/s2) to have a potential energy that equals the kinetic energy?