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what is physical significance of moment of inertia?
A block of mass m is attached to two unstretched springs of spring constants k1 and k2 as shown in figure.The block is displaced towards right through x and is released. Find the speed of the block as it passed through the mean position.
state and explain theorem of perpendicular and parellel axis what ia moment of inertia about circular disc
An electric motor is used to lift an elevator and its load (total 1500Kg) to a height of 20
A force acts on a 3g particle in such a way that the position of the particle as a function of time is given by x=3t-4t2+t3
where x is in meters and t is in seconds. The work done during the first 4 sec.
Show that a Gravitational Force is a Conservative Force .
Prove that bodies of identical masses exchange their velocities after head on collision.
1)a ball is thrown vertically upwards . Draw velocity time graph of this motion?
2)define angle of friction?
3)the speed of a projectile reduces to 50% on reaching maximum height. what is the horizontal range?
4)distinguish b/w elastic & nonelastic collision .give 1 example for each
An elastic spring of spring constant k is compressed by an amount x . show that its potential energy is 1/2k x2 .
The relation between the displacement x and the time t for a body of mass 2kg moving under the action of force is given by x=t3/3 , where x is in metre and t in second , calculate the work done by body in first 2 seconds.
A running man has half the kinetic energy that a boy half his mass has. The man speeds up by 1.0m/s and then has the same energy as the boy. What were the orignal speed of the man and the boy?
a uniform chain of lenght L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. if g is acceleration due to gravity,calculate work required to pull the hanging part on th table
A vehicle of mass 30 quintals moving with a speed of 18km/hr collides with another vehicle of mass 90 quintals moving with a speed of 14.4 km/hr. What will be the velocity of each after the collision if they are in opposite directions?
define escape velocity .derive expression for it
prove work energy theorem for a variable force
Explain.the term work.Show that the work done is equal.to the dot product of force and displacement
give 4 examples of positive, negative and zero work done with diagram
show that total energy is conserved at any instant of time (mathematically) in the following cases:
freely falling body;
bouncing of a ball;
a force F=-K(yi+xj), where K is a positive constant,acts on a particle moving in a x-y plane.. starting from the origin yhe particle is taken alon positive x axisto a point (a,0) and then parallel to y axis to a point (a,a.) calculate the total work done by force on the particle.
a running man has half the k.e of that of a boy of half his mass.the man speeds up by 1m/s and then has the same k..e as that of boy. find original speeds of man and boy
Does the center of mass of a body always lie inside the body?
A man weighing 55kg supports a body of 20kg on his head. Calculate the work done by him if he moves a distance of 20m. (a) on a horizontal road (b) upon a smooth incline of 1 in 5.
A shell is fired from a cannon with a velocity v m/s at an angle theta with the horizontal direction.At the highest point of this path , it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon.The speed in m/s of other piece immediately after the explosion will be ?
will the momentum remain constant if some external force acts on the system?
A man pulls a bucket of water from a well of depth H. if the mass of uniform rope and bucket full of water are m and M respectively. The value of work done by man is
A bob of mass m is suspended by a light string of length L.It is imparted a horizontal velocity v0at the lowest point A such that it completes a semi- circular trajectory in the vertical plane with the string becoming slack only on reaching the topmost point,C.Obtain an expression for
ii)the speeds at point B and C
A long spring is stretched by 2 cm when P.E. is V. If the spring is stretched by 10 cm, what is the value of P.E.?
A train weighing 100 metric ton is running on a level track with a uniform speed of 72 km/h.If the frictional resistance amounts 0.5 kg per metric ton,find the power of the engine.
a uniform rod of mass 2kg and length 1m is lying on a horizontal surface. if the work done in raising one end of the rod through an angle 450 is 'W', the work done in raising it further through 450 is?
A ball is dropped vertically from rest at a height of 12m. After striiking the ground , it bounces back to a height of 9m. What fraction of kinetic energy does it lose on striking the ground?
An engine pumps water through a hose pipe. water passes through the pipe & leaves it with a velocity of 2 m/s. the mass per unit length of water in the pipe is 100 kg/m. what is the power of the engine?
HOW DOES THE KINETIC ENERGY OF A BODY CHANGE IF ITS MOMENTUM IS DOUBLED ?
at the instant t=0 a force F=kt (k is a constant) acts on a small body of mass m resting on a smooth horizontal surface.the time, when body leaves the surface is,
a)mgksinα b)ksinα/mg c)mgsinα/k d)mg/ksinα
plz explain me integration and differentiation with basics and examples and formulas.....plzzzz badly needed.....help as soon as posssible.....reply awiated!!!!!!
1. An object is attached to a vertical spring and slowly lowered to its equilibrium position. This stretches the spring by a distance d.if the same object is attached to the same vertical spring but permitted to fall freely, through what distance does it stretches the spring.
2.A block of 2 kg is dropped from a height of 40 cm on a spring of force constant 1960 N/m what will be the maximum distance x to which the spring is compressed.
a body of mass M at rest is struck by a moving body of mass m. prove that the fraction of initial K.E of mass transferred to the struck body is 4Mm/(m+M)^2
body is initially at rest. It undergoes one-dimensional motion with
constant acceleration. The power delivered to it at time t
is proportional to
blades of a windmill sweep out a circle of area A.
(a) If the wind flows at a velocity v
perpendicular to the circle,
what is the mass of the air passing through it in time t?(b) What is the kinetic energy
of the air? (c) Assume that the windmill converts 25% of the wind’s
energy into electrical energy, and that A
= 30 m2,
= 36 km/h and the density of air
is 1.2 kg m–3.
What is the electrical power produced?
if kinetic energy of the body is increase by 300 percent then by what percent will its linear momentum increase
two vectors of equal magnitude have a resultant equal to either of them, then the angle between them will be equal to...?
A ball falls from a height such that it strikes the floor of lift at 10 m/s.If lift is moving in the upward direction with a velocity 1 m/s, then velocity with which the ball rebounds after elastic collision will be?
An elevator can carry a maximum load of 1800kg, is moving up with a constant speed of 2m/s. The frictional force opposing the motion is 4000N. Determine the minimum power delivered by the motor to the elevator in watts. (take g=9.8m/s2
A rigid body mass m is held at a height H on two smooth wedges of mass M each of which are themselves at rest on a horizontal frictionless floor. On releasing body, it moves down pushing aside the wedges . Find the velocity of recede of the wedges from each other when rigid body is at a height h from the ground.
A chain of mass M is placed on a smooth table with 1/n of its length L hanging over the edge. The work done in pulling the hanging the portion of the chain back to the surface of the table is
a) MgL/n b)MgL/2n
(A) PROVE THAT IN CASE OF OBLIQUE ELASTIC COLLISION OF TWO PARTICLES OF SAME MASS IF ONE IS AT REST, AFTER COLLISION BOTH PARTICLES MOVES AT RIGHT ANGLE TO EACH OTHER.
A body of mass 2kg is initially at rest. A constant force of 5 N acts on it for 10 seconds. What is the average power of the force?
The potential energy of 1kg particle free to move along the x-axis is U(x)=x^4/4-x^2/2 J (x in meters). if the total mechanical energy of the particles is 2J find the maximum speed of the particle.
Find the angle between the vectors A=i^-2j^-5k^ and B=2i^+j^-4k^
Q3. two straight lines are drawn on the same displacement time graph make angles 30 degree & 60 degree with time axis respectively which line represents greater velocity ? what is the ratio of the two velocities ?
Q. WHAT DO YOU MEAN BY POSITIVE, NEGATIVE AND ZERO WORK DONE. GIVE AT LEAST ONE EXAMPLE OF EACH CASE.
Is there any formula for inelastic collision??????????????
A pendulum bob of mass 0.1 kg is suspended by a string of 1m long.The bob is displaced so that the string becomes horizontal and released. Find its kinetic energy when the string makes an angle of (i) 0o, (ii) 30o with the vertical.
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