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Syllabus

Prove that newton's second law of motion is the real law

Q4. The value of | T

_{1}– T_{2}| , in the given diagram, isState and prove law of conservation of linear momentum

Friction is a necessary evil.Explain

a) 0.5

b) 0.75

c) 0.57

d) None of these

A book of mass 5 kg is placed on a table and it is pressed by 10 N force. Then normal force exerted by the table on the book is?

Ans is 59 N.

How?

State and prove the conservation of angular momentum.

^{2}, then the acceleration of 2 kg block is(1) 1 m/s

^{2}(4) 3 m/s^{2}(3) 4 m/s^{2}(4) 2 m/s^{2}A particle of mass

mmoves with constant speedvon a circular path of radiusr. Find the magnitude of average force on it in half revolution.in formula F=DP/DT, d stands for what?

Two balls A and B are thrown simultaneously ,A vertically upwards with a speed of 20m/s from ground,and B vetically downwards from a height of 40 m with the same seed and along the same line of motion . At what points do the two balls collide ?

1)What will happen when (a) a heavy body collides on a light mass at rest and (b) a light body collides on a heavy mass at rest?

A cricket ball of mass 150g is moving with a velocity of 12m/s and is hit by a bat, so that the ball is turned back with a velocity of 20m/s. The force of the blow acts for 0.01s on the ball. Find the average force exerted by the bat on the ball.

where is motion of connected bodies

what are the limitations of dimensional analysis?

$A)\frac{10}{3}m/{s}^{2}B)\frac{7}{3}m/{s}^{2}C)0.5m/{s}^{2}D)1.0m/{s}^{2}$

Q. A small ball of mass m starts from rest from point A (b, c) on a smooth slope which is a parabola. The normal force that the ground exerts at the instant, the ball arrives at lowest point (0,0) (take acceleration due to gravity g)

1. mg$\left(\frac{{b}^{2}+4{c}^{2}}{{b}^{2}}\right)$

2. $\frac{4mg{c}^{2}}{{b}^{2}}$

3. mg

4. 3 mg

A machine gun has a mass of 20kg. It fires 30g bullets at the rate of 400 bullets per second with a speed of 400 m/s. What force must be applied to the gun to keep it in position ?

A man weighing 50 kg climbs 10m.Calculate work done by gravity.

Q. A vertical rectangular door with its centre of gravity at O (see Figure) is fixed on two hinges A and B along one vertical length side of the door. The entire weight of the door is supported by the hinge A. Then the free body force diagram for the door ( The arrows indicate the direction of the forces ) is :-

28. If pulleys shown in the diagram are smooth and massless and a

_{ 1}and a2 are acceleration of blocks of mass 4 kg and 8 kg respectively, then(a) a

_{1}= a_{2}(b) a

_{1}= 2a_{2}(c) 2a

_{1}= a_{2}(d) a

_{1}= 4a_{2}show that for two complementary angles of projection of a projectile thrown with thw same velocity. the horizontal ranges are equal

prove Lami's theorem.

a block A of mass4 kg is placed on another block B of mass 5kg B rests on smooth table for sliding block A onB a horizontal force of 12 N is required to be applied on A how much max force can be applied on Bso that both A andB move together

Question: On an object of mass 1 kg moving along x-axis with constant speed 8m/s, a constant force 2 N is applied in positive y- direction. Find its speed after 4 seconds.

Please explain how to solve the above question. The answer is 8√2m/s.

The diagram shows the forces acting on a object. Find R and Ɵ. if the particle is moving with uniform velocity.

a block of mass m is placed on a smooth wedge of inclination theta.the whole system is acclerated horizontally so that the block has a magnitude equal to???

(3) Along the wall

(4)Along any direction

(1) Along the perpendicular to the wan

(2) Both (1) & (2)

A Spring Of Force Constant k is cut into two pieces , such that one piece is doubled the lengthof other . Then the long piece will have a constant of...................?

why cricket player lowers his hands while catching a cricket ball?

A person of mass M kg is standing on a flits. If the lift moves vertically upwards according to given v-t graph then find out the weight of man at the following instants : (g-10 m/s

^{2})(i) t = 1 second

(ii) t = 8 second

(iii) t = 12 second

Find the acceleration of the system and the contact force between

(i) 2kg and 3 kg blocks (ii) 3kg and 5 kg blocks.

derive an expression for banking of road with the help of diagram?

Find the value of T1 and T2 for the system shown in figure.

why wheels are made circular in automobiles?

^{2}towards right. The acceleration of 20 kg mass at this instant is:-a) 12 m/s

^{2}b) 4 m/s

^{2}c) 10 m/s

^{2}d) Zero

1) 10root3 m /s

2) 20root m/s

3) 40/root3 m/s

4) 40 m/s

46. The speed-time graph for the motion of a motorcycle is shown here. What is the average speed over 12 s interval ?

A. 4.38 m s

^{-1}B. 5.58 m s

^{-1}C. 1.75 m s

^{-1}D. 3.17 m s

^{-1 }Why is pulling a lawn roller easier than pushing it?

How is a friction is a necessary evil?

a stone is dropped from a height h . it hits the ground with a certain momentum P . if the same stone is dropped from a height 100% more than the previous height , the momentum when it hits the ground will change by ??

trajectory it splits into three segments of masses m, m and 2m. First part falls vertically

downward with zero initial velocity and second part returns via same path to the point of

projection. The velocity of third part of mass 2m just after explosion will be

a) U cos theta b) 3/2 u cos theta c) 2u cos theta d) 5/2 u cos theta

Q. In the given arrangement the maximum value of F for which there is no relative motion between the blocks

$\left(1\right){\mathrm{\mu m}}_{1}{\mathrm{g}}_{}\left(2\right)\mathrm{\mu}\left({\mathrm{m}}_{1}+{\mathrm{m}}_{2}\right)\mathrm{g}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(3\right){\mathrm{\mu m}}_{1}\mathrm{g}{\left(\frac{{\mathrm{m}}_{1}}{{\mathrm{m}}_{2}}+1\right)}_{}\left(4\right)\mathrm{Zero}$

^{2}.Q=A ball of mass 20 g hits a wall at an angle of 45^{o}with a velocity of 15 m/s.If the ball rebound at 90^{o}to the direction of incidence ,calculate the impulse received by the ball.define angle and coefficient of friction and find the relationship b/n them.

80 railway wagons all of same mass 5*10

^{3}are pulled by a force 4*10^{5}N . the tension in coupling between the 30 and the 31 wagon from the engine is( ans= 25*10

^{4}N)A man falls on a cemented floor and a man falls on a heap of sand who will get more hurt & why?

ABCDEF is a regular hexagon,,, Prove that AB + AC + AD + AE + AF = 6AO.

(direction sign {--} is present on the top of AB , AC,AD,AE,AF and 6AO)

1) net force= Pcostheta , if P cos theta< mg

2)N= mg -Psin theta , if Psintheta< mg

3) a=Pcostheta/m , when P> mgcostheta

1. A block of mass 10kg is sliding on a surface inclined at a angle of 30

^{0}with the horizontal. Calculate the acceleration of the block. The coefficient of kinetic friction between the block and the surface is 0.5?(A) $\u2013\hat{i}$ (B) $-1.8\hat{i}$ (C) $-2.4\hat{i}$ (D) $-3\hat{i}$

how to solve this question with figure 3 blocks r connected together like on a horizontal frictionless table pulled to right with a force=50n if m1=5kg, m2=10kg, m3=15kg. find tension t1 and t2.

2. two masses of 7kg and 12kg r connectd at two end of light inextinsible string that goes over frictionless pulley. find acceleration of mass and tension on the string

if the stretch in a spring of force constant k is doubled:calculate

a)ratio of final to initial force in the spring

b)ratio of elastic energies in 2 cases

c)work done in changing the double stretch

prove that impulse is equal to the change in momentum

a person left on a frictionless surface can get away from it by blowing air out of his mouth or by throwing some objectin a direction opposite to the direction in which he wants to move.how????

why friction is called a necessary evil?

the motion of a particle of mass m is described by y = ut + 1/2 gt

^{2}. find the force acting on the particlea road is banked at 6 degree to the horizontal at a bend of radius 220m.calculate the maximum speed of a veichle of mass 2000 kg can have while negotiating the bend???

1. prove that angle of repose is equal to angle of friction

2. prove that 2nd law of motion is the real law of motion. (what is real law of motion)

A box is lying on the floor of a moving train and coefficient of the friction between the floor and the box 0.15. Find the maximum acceleration of the trainfor which the box will lie stationaryon the floor. Given g= 10m/s

state the triangle law of vector addition and the parallelogram law of addition of vectors.

Two blocks of masses 2 kg. and 1 kg. are in contact with each other on a frictionless table . When a horizontal force of 3 N is applied to the block of mass 2 kg. the value of the force of contact between the two block is :(1) 4 N (2) 3N (3) 5 N (4) 1 N

force depends on the rate of change of

momentum.

a) State whether the force is external or

internal? Justify your answer.

b) What happens to the linear

momentum when the force is absent?

c) The motion of a particle of mass m is

described y = ut +1 /2 gt^2 . find the

force acting on the particle.

d) Why is it more difficult to rotate a

stone by tying it to a longer string than

a shorter string?

a circular race track of radius 300 m is banked at an angle of 15

^{0}. if the coefficient of friction between the wheels of a race car and the road is 0.2 , what is the (i) optimum speed of the race car to avoid wear and tear on its tyres (ii) maximum permissible speed to avoid slipping ?plz experts help me out..............

a block of mass 2 kg rests on a rough inclined plane making an angle 30degrees with the horizontal . the coeffecient of static friction between the block and the plane is 0.7 . the frictional force on the block is??

The correct ans is 2mg (explain)

a body constrained to move along the z axis of a coordinate system is subjected to a constant force F = ( -i +2j +3k) N . what is the work done by the force in moving the body over a distance of 4 m along the z axis.

(g = 10m/${s}^{2}$). Select the correct statements.

(A) Acceleration of block A, B and C are 1 m/${s}^{2}$, 3 m/${s}^{2}$and 5 m/${s}^{2}$ respectively

(B) Contact force between B & Ground is 350 N

(C) Tension in string 30N

(D) Contact force between 'B' and 'C' is 15 N

^{2}) :-a) 760 N

b) 1360 N

c) 1580 N

d) 1620 N

Kindly answer sir/mam.

define the terms momentum and impulse. state and explain the law of conservation of linear momentum. give examples