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what is physical significance of moment of inertia?

A force of 5.0 N moves a 6.0 kg object along a rough floor at a constant speed of

state and explain theorem of perpendicular and parellel axis what ia moment of inertia about circular disc

A motor can pump up water to fill a tank of volume 500m^3 in 25 minutes , which is placed at a height of 20m. If efficiency of the motor is 40%, calculate the power of the motor.

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-4t

^{2}+t^{3}where x is in meters and t is in seconds. The work done during the first 4 sec.

2s along a frictionless track. The

graph shows the force on the body

against time.How much work is done by the force?

Show that a Gravitational Force is a Conservative Force .

and my solution is below in the image. In my view my soln is incomplete, there is neither any derivation in my soln nor any diagram. Procedure is also incomplete. plz help me for completing this draw diag becaz diagram is necessary here

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

Q45. A block starts from rest from top of incline plane whose last $\frac{1}{3}$ rd part is rough. If block comes to rest at bottom, then value of coefficient of friction between block and incline plane is

$\left(1\right)\mathrm{\mu}=\mathrm{tan}\mathrm{\theta}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(2\right)\mathrm{\mu}=\frac{1}{3}\mathrm{tan}\mathrm{\theta}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(3\right)\mathrm{\mu}=\frac{1}{2}\mathrm{tan}\mathrm{\theta}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(4\right)\mathrm{\mu}=3\mathrm{tan}\mathrm{\theta}$

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=t

^{3}/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

Q19. A cyclist paddling at a speed of 10 m/s on a level road takes a sharp circular turn of radius 10 m without reducing the speed. The angle made by cyclist with vertical is

$\left(1\right)\frac{\mathrm{\pi}}{4}\left(2\right)\frac{\mathrm{\pi}}{3}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(3\right)\frac{\mathrm{\pi}}{6}\left(4\right)\frac{\mathrm{\pi}}{2}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}$

^{-1}. Then^{-1}^{-2}(A) 3R Ohms

(B) 2/4R Ohms

(C) R/3 Ohms

(D) 2/3R Ohms

define escape velocity .derive expression for it

prove work energy theorem for a variable force

A motor having an efficiency Of 90 % operates a crane having an efficiency of 40%. With what constant speed does the crane lift a 500kg weight if the power supplied to the motor is 5 KW ?

give 4 examples of positive, negative and zero work done with diagram

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) 3 m/s

b) 4 m/s

c) 6 m/s

d) 8 m/s

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 ?

as the product of force and magnitude of displacement.

a) Name the energy possessed by the body at maximum height. Write an equation for it.

b) A man of mass 60 kg carries a stone of mass 20 kg to the top of a multi-storeyed building of height 50m. Calculate the total energy spent by him? (9.8m/s2)

show that total energy is conserved at any instant of time (mathematically) in the following cases:

freely falling body;

spring;

bouncing of a ball;

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.(M+m/2).g.h

B.(M+m)gh

C.(m+M)/2.G.H

D. none

Solve this:The potential energy function for a conservative force is given by $U=\beta (2x+4y)$. The work done by the conservative force in displacing a particle from point P(1,2) to Q(3,5) is equal to:

$\left(1\right)-10\beta \left(2\right)-26\beta \phantom{\rule{0ex}{0ex}}\left(3\right)-16\beta \left(4\right)+10\beta $

A bob of mass m is suspended by a light string of length L.It is imparted a horizontal velocity v

_{0}at 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 fori) v

_{0}ii)the speeds at point B and C

What is the gravitational potential energy of a 61.2 kg person standing on the roof of a 10-storey

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.?

NUMERICAL.

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?

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.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?

Find the angle between the vectors A=i^-2j^-5k^ and B=2i^+j^-4k^

_{A}& m_{B }respectively, then:-a) 2m

_{A}=m_{B}b) 3m

_{A}=m_{B}c) 4m

_{A}=m_{B}d) (3)

^{1/}^{2}m_{A}=m_{B}HOW DOES THE KINETIC ENERGY OF A BODY CHANGE IF ITS MOMENTUM IS DOUBLED ?Two balls with the same mass, one of wood and the other a ping-pong ball partly filled with sand, are

plz explain me integration and differentiation with basics and examples and formulas.....plzzzz badly needed.....help as soon as posssible.....reply awiated!!!!!!

(a)Copper

(b)Aluminium

(c)Diode-valve

(d)None of these

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.

height ‘h’ near the surface of the earth in a

time ‘t’.

a) Draw the force-displacement graph.

b) If ‘A’ is the area of the graph, what

quantity does

A/t indicate?

pls answer fast

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

A rod elongates by l when mass M is suspended from it. What is the work done?

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.

A body is initially at rest. It undergoes one-dimensional motion with constant acceleration. The power delivered to it at time

tis proportional to(i) (ii)

t(iii) (iv)The blades of a windmill sweep out a circle of area

A. (a) If the wind flows at a velocityvperpendicular to the circle, what is the mass of the air passing through it in timet?(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 thatA= 30 m^{2},v= 36 km/h and the density of air is 1.2 kg m^{–3}. What is the electrical power produced?Q.Two identical balls each moving with speed v at right angle to each other collide perfectly inelastically. Their speed after collision is$\left(1\right)v\left(2\right)\sqrt{2}v\phantom{\rule{0ex}{0ex}}\left(3\right)\frac{v}{2}\left(4\right)\frac{v}{\sqrt{2}}$

if kinetic energy of the body is increase by 300 percent then by what percent will its linear momentum increase

A ring of mass 1 kg can slide on smooth certical rod shown in fig. The ring is connected to a spring of spring constant R = 40 N/m and natural length of spring is 0.2 m. The ring is taken at a height of 1.5 m and released .Find the velocity of ring when it reaches point C (in m/s)

\

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?

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

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/s

^{2}a moving body may or may not have potential energy how

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

C)MgL/n

^{2 }d)MgL/2n^{2}A 500kg block is @ an top of 30 degree incline plane .when it is released it slides 140cm down along the plane. what will the speed of the block when it reaches the bottom.

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?

Q. A particle of mass 0.1 kg is subjected to a force which varies with distance as shown in fig.

If it starts its journey from rest x=0, its velocity at x=12 is

(1) 0 m/s

(2) $\sqrt[20]{3}\text{m/s}$

(3)$\sqrt[20]{2}\text{m/s}$

(4) 40 m/s

(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.

^{1/2}) then its speed at the lowest point is:-a) (4gl)

^{1/2}b) (v

^{2}+2gl)^{1/2}c) (v

^{2}+gl)^{1/2}d) (v

^{2}+ 4gl)^{1/2}Kindly answer sir/mam.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.

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.

The turbine pits at the Niagara falls are 50m deep. The average horse power developed is 5000, the efficiency being 85%. How much water passes through the turbine per minute?given 1 HP = 746W and g= 10m/s

^{2}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) 0

^{o}, (ii) 30^{o}with the vertical.