Question 1 :
Power applied to a particle varies with time as <br>P = [3t<sup>2</sup> - 2t + 1] watts. Where t is time in seconds. Then the change in kinetic energy of particle between time t = 2s to t = 4s is -<br>
Question 2 :
A simple pendulum 4 m long swings with an amplitude of 0.2 m. What is its acceleration at the ends of its path ? (g = 10 m/s<sup>2</sup>)<br>
Question 3 :
80 railway wagons all of same mass 5 × 10<sup>3 </sup>kg are pulled by an engine with a force of 4× 10<sup>5</sup> N. The tension in the coupling between 30<sup>th</sup> and 31<sup>st</sup> wagon from the engine is:<br>
Question 4 : A vertical spring of force constant 100 N/m is attached with a hanging mass of 10 kg. Now an external force is applied on the mass so that the spring is stretched by additional 2 m. The work done by the force <em>F</em> is ( g = 10 m/s<sup>2</sup>) <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bfacf1a5a149feab9902"/>
Question 5 :
A mass m with velocity u strikes a wall normally returns with the same speed. The change in momentum is<br>
Question 6 : <font>In the figure shown the potential energy U of a particle is plotted against its position 'x' from origin. Then which of the following statement is correct. A particle at -</font></p> <p> <img style='object-fit:contain' align="bottom" height="116" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0ef90a89a512aab2122f0" width="132"/> </p>
Question 7 :
The potential energy of a particle of mass 0.1 kg moving along <em>x</em>-axis is given by <em>U</em> = 5<em>x</em><br/> (<em>x</em> – 4), here <em>U</em> is in Joules and <em>x</em> is in meters. Which of the following is incorrect.
Question 8 :
A particle is hanging from a string of length <em>l</em> = 10 m. It is imparted a velocity of 20 m/s at the bottom. The velocity of the particle at its highest point is
Question 9 : <font>Consider the following statements A and B. Identify the correct choice in the given answers:</font></p> <p align="justify"> <font>A. In a one dimensional perfectly elastic collision between two moving bodies of equal masses, the bodies merely exchange their velocities after collision</font></p> <p align="justify"> <font>B. If a lighter body at rest suffers perfectly elastic collision with a very heavy body moving with a certain velocity, then after collision both travel with same velocity</font></p>
Question 11 :
A wire suspended vertically from one of its ends is stretched by attaching a weight of 200N to the lower end. The weight stretches the wire by 1mm. Then the elastic energy stored in the wire is[2003]<br>
Question 12 :
Water falls from a height of 60 m at the ratio of 15 kg/s to operate a turbine. The losses due to frictional forces are 10% of energy. How much power is generated by the turbine ? (g = 10 m/s<sup>2</sup>)<br>
Question 13 :
In the length l of string such that tension in string becomes zero when string becomes horizontal during subsequent motion of combined mass is`<br>
Question 14 :
A bomb of mass 30 kg at rest explodes into two pieces of masses 18 kg and 12 kg. The velocity of 18 kg mass is 6 ms<sup>-1</sup>. The KE of the other mass is<br>
Question 15 :
The kinetic energy of particle moving along a circle of radius <em>R</em> depends upon the distance covered S and is given by <em>K</em> = <em>aS</em> where <em>a</em> is a constant. Then the centripetal force acting on the particle is
Question 16 :
A spring 40 mm long is stretched by the application of a force. If 10 N forces required to stretch the spring through 1mm, then work done in stretching the spring through 40 mm is
Question 17 :
Two identical balls are projected, one vertically up and the other at an angle of 30<font face="Symbol">°</font> with the horizontal, with same initial speed. The potential energy at the highest point is in the ratio
Question 18 :
A stone of mass m is thrown from earth's surface at an angle α to the horizontal with an initial velocity v<sub>0</sub>. Ignoring the air drag, the power developed by gravity force t second after the beginning of motion is -<br>
Question 19 : <font>Two blocks of masses 2 kg and 1 kg respectively are tied to the ends of a string which passes over a light frictionless pulley. The masses are held at rest at the same horizontal level and then released. The distance traversed by centre of mass in 2 s is -(g = 10 m/s</font><sup><font>2</font></sup><font>)</font></p> <p> <img style='object-fit:contain' align="bottom" height="92" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0ef9ba89a512aab21233b" width="93"/> </p>
Question 20 : A particle of mass <em>m</em> is projected with an initial velocity <em>u</em> at angle θ from the ground. What is the work done by gravity during the time it reaches the highest point <em>P</em> is: <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bf5abfef6349df00fcd0"/>
Question 21 :
A particle of mass <em>m</em> is moving in a circular path of constant radius <em>r</em> such that its centripetal acceleration <em>a<sub>c</sub></em> is varying with time <em>t</em> as <em>a</em><sub><em>c</em></sub> = <em>k</em><sup>2</sup>rt<sup>2</sup>, where <em>k</em> is a constant. The power delivered to the particle by the force acting on it is
Question 22 :
A body strikes a wall at an angle θ and velocity u to rebound at angle angleβ and velocity v.<br>
Question 23 : <font>A block of mass m slides along the track with kinetic friction µ. A man pulls the block through a rope which makes an angle </font><font face="Symbol, serif"><font></font></font><font> with the horizontal as shown in the figure. The block moves with constant speed V. Power delivered by the man is </font> </p> <p> <img style='object-fit:contain' align="bottom" height="70" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0ef6ce6377b2e815f4d1e" width="189"/> </p>
Question 24 : The relationship between the force <em>F</em> and position <em>x</em> of a body is as shown in figure. The work done in displacing the body from <em>x</em> = 1 m to <em>x</em> = 5 m will be <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bfa1bfef6349df00fd02"/>
Question 25 :
When a body moves in a circle, the work done by the centripetal force is always
Question 26 :
The time period of a satellite of Earth is 5 hours. If the separation between the Earth and the satellite is increased to 4 times the previous value, the new time period will become -<br>
Question 27 : A spring of spring constant <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e7d982725bd3947928ed8e9' height='23' width='65' > N/m is stretched initially by 5cm from the unstreatched position. Then the work required to stretch it further by another 5cm is[2003]<br>
Question 28 : A block of mass <em>m</em> initially at rest dropped from a height <em>h</em> on to a massless spring of force constant <em>k</em>, the maximum compression in the spring is <em>h</em>/4, then spring constant <em>k</em> is <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bfd3f1a5a149feab992b"/>
Question 29 :
A particle of mass m is moving in a circular path of constant radius r such that radial acceleration a<sub>r</sub> = k<sup>2</sup>t<sup>2</sup>r. Find the power delivered to the particle by the forces acting on it.<br>
Question 30 :
<font>When two spheres of equal masses undergo glancing elastic collision with one of them at rest, after collision they will move:</font></p>
Question 31 : ABC is a fixed incline plane with D mid point of AC. Part AD of incline plane is rough such that when a sphere released from A starts rolling, while the part DC is smooth. The sphere reaches the bottom point C, then -<br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e7d973a236fb948e59c3ace' height='119' width='107' ><br>
Question 32 :
A body moves a distance of 10 m along a straight line under the action of a 5 N force. If the work done is 25 J, then angle between the force and direction of motion of the body is -<br>
Question 33 :
A ball is dropped from a height of 20 cm. Ball rebound to a height of 10 cm. What is the loss of energy ?<br>
Question 34 : The relationship between the force F and position x of a body is as shown in figure. The work done in displacing the body from x = 1m to x = 5m will be-<br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e7d9709f24c9c46dfc10183' height='128' width='214' ><br>
Question 35 :
A body of mass 1000 kg is moving horizontally with a velocity 50 m/s. A mass of 250 kg is added. Find the final velocity:<br>
Question 36 :
A body of mass accelerates uniformly from rest to velocity <em>V</em><sub>0</sub> in time <em>t</em><sub>0</sub>. What is the instantaneous power delivered to the body when the velocity is {tex}\frac{V_{0}}{2}{/tex}.
Question 37 :
A pulley fixed with celling carries a string with blocks of mass 'm' and '3m' attached to its ends. The masses of string and pulley are negligible. When the system is released, its centre of mass moves with acceleration -<br>
Question 38 :
A block of mass <em>m</em> is moving with a constant acceleration <em>a</em> on a rough plane. If the co-efficient of friction between the block and ground is <font face="Symbol">µ</font>, the power delivered by the external agent after a time <em>t</em> from the beginning is
Question 39 :
A 2 kg block slides on a horizontal floor with a speed of 4m/s. It strikes a uncompressed spring, and compresses it till the block is motionless. The kinetic friction force is 15N and spring constant is 10,000 N/m. The spring compressed by [2007]<br>
Question 40 :
<font>A particle of mass m moving with a velocity v strikes a wall and rebounds back. If the magnitude of the velocity is unchanged, the magnitude of force exerted on the wall by the particle during the time of contact (t) will be - </font> </p>
Question 41 :
Two spheres of masses m and M are situated in air and the gravitational force between them is F. The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be -<br>
Question 42 :
If the length of a pendulum is made 9 times and mass of the bob is made 4 times, then the value of time period becomes -<br>
Question 43 :
A heavy uniform chain lies on a horizontal table-top. If the co-efficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang over one edge of the table is
Question 44 :
<font>The average energy consumed by a human being in a day is:</font></p>
Question 45 :
<font>A block of mass 10 kg is moving in x - direction with a constant speed 10 ms</font><sup><font>-1</font></sup><font>. It is subjected to a retarding force F = -0.1 x J/m during its travel from x = 20 m to x = 30 m. Find the final KE.</font></p>
Question 46 :
A particle of mass 100g is thrown vertically upwords with a speed of 5m/s. The work done by the force of gravity during the time the particle goes up is[2006]<br>
Question 47 :
A particle of mass m moving with a velocity v strikes a wall and rebounds back. If the magnitude of the velocity is unchanged, the magnitude of force exerted on the wall by the particle during the time of contact (t) will be - <br>
Question 48 :
A point mass moves along a circle of radius R with constant angular acceleration α. How much time is needed after motion begins for the radial acceleration of the point mass to be equal to its tangential acceleration?
Question 49 :
<font>A truck and a car moving with the same kinetic energy are brought to rest by the application of brakes which provide equal retarding forces. Which of them will come to rest in a shorter distance?</font></p>
Question 50 :
A shell at rest at the origin explodes into three fragments of masses 1 kg, 2 kg and m kg. The 1 kg and 2 kg pieces fly off with speeds of 5 ms<sup>-1</sup> along x-axis and 6ms<sup>-1</sup> along y-axis respectively. If the m kg piece flies off with a speed of 6.5 ms<sup>-1</sup>, the total mass of the shell must be :<br>
Question 51 : A uniform rod of length <em>L</em> and mass <em>M</em> has been placed on a rough horizontal surface. The force <em>F</em> applied on the rod is such that the rod is just in the state of rest. If the co-efficient of friction varies according to the relation <font face="Symbol">µ</font> = <em>KX</em>, where <em>K</em> is a positive constant. Suppose friction is present only from <em>X</em> = 0 to X <em>= L</em>. If the rod moves in the direction of application of force then the total heat generated in the time in which the rod crosses this region, is equal to<img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bfaaf1a5a149feab9900"/>
Question 52 :
An object of mass 10 kg falls from rest through a vertical distance of 10 m and acquires a velocity of 10 m/s. The work done by the push of air on the object is (<em>g</em> = 10 m/s<sup>2</sup>)
Question 53 : A particle initially at rest at the highest point of a smooth vertical circle is slightly displaced. It will leave the circle at a vertical distance <em>h</em> below the highest point. Then <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bfd5bfef6349df00fd3c"/>
Question 54 : Two identical balls of equal masses A and B, are lying on a smooth surface as shown in the figure. Ball A hits the ball B (which is at rest) with a velocity v = 16 m/s. What should be the minimum value of coefficient of restitution e between A and B so that B just reaches the highest point of inclined plane. (g = 10 m/s<sup>2</sup>) <br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e7d972425bd3947928ed6b2' height='42' width='151' ><br>
Question 55 :
A car of mass 'm' is driven with acceleration 'a' along a straight level road against a constant external resistive force 'R'. When the velocity of the car is 'v', the rate at which the engine of the car is doing work will be <br>
Question 56 : A particle of mass 0.1 kg is subjected to a force which varies with distance as shown in figure. If it starts its journey from rest at <em>x</em> = 0, its velocity at <em>x</em> = 12 m is <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bf9df1a5a149feab98ef"/>
Question 57 :
A body of mass m starting from rest moves with acceleration proportional to cube root of its velocity. The instantaneous power delivered to the body is varying with time as
Question 58 : A particle initially at rest at the highest point of a smooth vertical circle is slightly displaced. It will leave the circle at a vertical distance <em>h</em> below the highest point. Then <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bfdabfef6349df00fd40"/>
Question 59 : Figure shows a smooth curved track terminating in a smooth horizontal part. A spring of spring constant 400 N/m is attached with the horizontal part as shown. A 40 g mass is released from rest at a height of 4.9 m on the curved track. The maximum compression in the spring is<img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bf9cbfef6349df00fcfc"/>
Question 60 :
A mass of 50 kg is raised though a certain height by a machine whose efficiency is 90%, the energy spent in this process is 5000 J. If the mass is now released, its KE on hitting the ground shall be
Question 61 :
A particle is whirled in a vertical circle of radius <em>l</em> such that on imparting a horizontal velocity when particle is hanging vertically, the particle reaches a maximum height of {tex}\frac{\text{27}l}{\text{16}}{/tex}from its initial bottom position. Then
Question 62 :
A locomotive of mass <em>m</em> starts moving so that its velocity varies as {tex}v = \text{αs}^{\frac{2}{3}}{/tex}, where α is a constant and <em>s</em> is the distance traversed. The total work done by all the forces acting on the locomotive during the first <em>t</em> second after the start of motion is
Question 63 : A block of mass 3 kg slides down a rough curved path from point <em>A</em> as shown. If it stops at <em>C</em>, the work done by friction is (<em>g</em> = 10 ms<sup>–2</sup>) <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bf71bfef6349df00fce4"/>
Question 64 : A 1 kg block moves towards a light spring with a velocity of 8 m/s. When the spring is compressed by<br/> 3 m, its momentum becomes half of the original momentum. Spring constant of the spring is<img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bf74f1a5a149feab98d7"/>
Question 65 :
When two spheres of equal masses undergo glancing elastic collision with one of them at rest, after collision they will move:<br>
Question 66 :
A horizontal force of 5 N is required to maintain a velocity of 2 m/s for a block of 10 kg mass sliding over a rough surface. The work done by this force in one minute is<br>
Question 67 : In the figure shown, pulley and spring are ideal. If <em>k</em> is spring constant of spring, the potential energy stored in it is (<em>m</em><sub>1</sub> > <em>m</em><sub>2</sub>) <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bfa9f1a5a149feab98fe"/>
Question 68 :
A point starting from rest moves along a circle having a radius 20 cm with a constant tangential acceleration of 5 cm/s<sup>2</sup>. The time from start of motion, when normal and tangential acceleration are equal, will be
Question 69 :
A bob is suspended from a crane by a cable of length <em>l</em> = 5 m. The crane and the bob are moving at a constant speed <em>v</em><sub>0</sub>. The crane is stopped by a bumper and the bob on the cable swings out an angle of 60<font face="Symbol">°</font>. The initial speed <em>v</em><sub>0</sub> is (<em>g</em> = 9.8 m/s<sup>2</sup>)
Question 70 :
<font>A ball of mass m approaches a wall of mass M (>> m) with speed 4 m/s along the normal to the wall. The speed of wall is 1m/s towards the ball. The speed of the ball after an elastic collision with the wall is -</font></p>
Question 71 :
A 2 kg stone at the end of a string 1 m long is whirled in a vertical circle at a constant speed. The speed of the stone is 4 m/s. The tension in the string will be 52 N, when the stone is
Question 72 : A ball of mass 1 kg strikes a wedge of mass 4 kg horizontally with a velocity of 10 m/s. Just after collision, velocity of wedge becomes 4 m/s. Friction is absent everywhere and collision is elastic. Select the correct alternative - <br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e7d977b25bd3947928ed773' height='81' width='111' ><br>
Question 73 : The mass of a bucket containing water is 10 kg. What is the work done in pulling up the bucket from a well of depth 10 m if water is pouring out at a uniform rate from a hole in it and there is loss of 2kg of water from it while it reaches the top <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e7d964cf24c9c46dfc1000a' height='23' width='97' ><br>
Question 74 :
A ball is dropped from a height h on a floor of coefficient of restitution e. The total distance covered by the ball just before second hit is -<br>
Question 75 :
A spring is compressed between two toy carts of masses <em>m</em><sub>1</sub> and <em>m</em><sub>2</sub>. When the toy carts are released, the spring exerts on each toy cart equal and opposite forces for the same time <em>t</em>. If the coefficients of friction <font face="Symbol">µ</font> between the ground and the toy carts are equal, then the displacements of the toy carts are in the ratio
Question 76 :
A space shuttle of mass 86400 kg is revolving in a circular orbit of radius 6.66 × 10<sup>6</sup> m around the earth. It takes 90.1 minutes for the shuttle to complete one revolution. On a repair mission it moves 1 m closer to a disable satellite every 3.0 s. Find the KE of shuttle relative to the satellite.<br>
Question 77 : A astronauts Mr. X and Mr. Y float in gravity zero space with no relative velocity to one another. Mr. Y throws a mass of 5 kg towards X with speed 2 ms<sup>-1</sup>. If Mr. X catches it the changes in velocity of X and Y are <br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e7d96c825bd3947928ed5f0' height='141' width='130' ><br>
Question 78 :
<font>Two spheres of masses m and M are situated in air and the gravitational force between them is F. The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be -</font></p>
Question 79 : Which of the following is true of the magnitudes of velocity and acceleration, as the ball moves (slip) down the frictionless slope as shown -<br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e7d976e25bd3947928ed754' height='101' width='107' ><br>
Question 80 : A block weighing 10 N travels down a smooth curved track <em>AB</em> joined to a rough horizontal surface. The rough surface has a friction coefficient of 0.20 with the block. If the block starts slipping on the track from a point 1.0 m above the horizontal surface, then it would move a distance <em>S</em> on the rough surface. The value of <em>S</em> is (<em>g</em> = 10 ms<sup>–2</sup>).<img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bf9abfef6349df00fcfa"/>
Question 81 :
A chain is placed on a frictionless table with one fourth of it hanging over the edge. If the length of the chain is 2m and its mass is 4kg, the energy need to be spent to pull it back to the table is<br>
Question 82 : The system given in figure is released from rest with the spring initially stretched by <em>x</em>. The velocity <em>v</em> of the block after it has dropped a distance <em>x</em>/2 will be<img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bfbaf1a5a149feab9913"/>
Question 83 :
In a simple pendulum, the breaking strength of the string is double the weight of the bob. The bob is released from rest when the string is horizontal. The string breaks when it makes an angle θ with the vertical, where
Question 84 :
In a factory, 2000 kg metal is lifted by 12 m in 1 minute by a crane. The minimum horse power of the engine is<br>
Question 85 :
A proton (mass 1.67 × 10<sup>-27</sup> kg) is accelerated along a straight line by 3.6 × 10<sup>15</sup> ms<sup>-2</sup>. If the length covered is 3.5 cm and initial speed of proton was 2.4 × 10<sup>7</sup>ms<sup>-1</sup>, the gain in kinetic energy is<br>
Question 86 :
Potential energy (in joule) of a particle of mass 1 kg moving in <em>x</em>-<em>y</em> plane is <em>U</em> = 3<em>x</em> + 4<em>y</em>, here <em>x</em> and <em>y</em> are in meter. If at time <em>t</em> = 0, particle is at rest at point <em>P</em>(6m, 4m). Then
Question 87 : A particle initially at rest at the highest point of a smooth vertical circle is slightly displaced. It will leave the circle at a vertical distance <em>h</em> below the highest point. Then <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bfd7f1a5a149feab992e"/>
Question 88 :
A 5g bullet was fixed horizontal into a 1.2 kg wooden block resting on a wooden surface. The coefficient of kinetic friction between the block and surface is 0.2. The bullet remained embedded in the block. The block was found to slide 0.23 m along the surface before stopping. Find initial speed of bullet.<br>
Question 89 :
A light spring of length <em>l</em> and rigidity <em>k</em> is placed vertically on a table. A small ball of mass <em>m</em> falls on it from a vertical distance <em>y</em> above its free end. The height <em>h</em> from the surface of the table at which the ball will have the maximum velocity is
Question 90 : Ball <em>A</em> of mass <em>m</em> after sliding from an inclined plane strikes elastically with another ball <em>B</em> of mass 3<em>m</em> at rest. The minimum height <em>h</em>, so that the ball <em>B</em> just completes the circular portion of the surface at <em>C</em>, will be (all surfaces are smooth)<img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bf84f1a5a149feab98e4"/>
Question 91 :
A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to`<br>
Question 92 : A block of mass 1 kg is pulled along the curve path <em>ACB</em> by a tangential force as shown in figure. The work done by the frictional force when the block moves from <em>A</em> to <em>B</em> is <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bfc1bfef6349df00fd2b"/>
Question 93 :
<font>The velocity with which a projectile must be fired so that it escapes Earth's gravitation does not depend on -</font></p>
Question 94 :
<font>In the length l of string such that tension in string becomes zero when string becomes horizontal during subsequent motion of combined mass is`</font></p>
Question 95 : The force F = Cy<sup>2</sup><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e7d96be236fb948e59c39c8' height='23' width='11' > with C as negative constant is _____<br>
Question 96 : <font>Six identical uniform rods PQ, QR, RS, ST, TU and UP each weighing W are freely joined at their ends to form a hexagon. The rod PQ is fixed in a horizontal position and middle points of PQ and ST are connected by a vertical string. The tension in string is</font></p> <p align="center"> <img style='object-fit:contain' align="bottom" height="134" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0ef42e6377b2e815f4c6e" width="163"/> </p>
Question 97 : A block of mass <em>m</em> is released from rest when the extension in the spring is <em>x</em><sub>0</sub>. The maximum downward displacement of the block is <br> <img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bfb4f1a5a149feab990b"/>
Question 98 :
A pendulum bob has been pulled aside from its lowest position through an angle α and then released. If <em>l</em> is the length of the pendulum, the bob will reach the equilibrium position with speed of
Question 99 : A body of mass <em>m</em> was slowly taken up the hill by a force <em>F</em> which at each point was directed along the tangent to the trajectory as shown in the figure. Find the work performed by this force. (The height of the hill is <em>h</em>, the length of its base is <em>l</em> and the coefficient of friction is <font face="Symbol">µ</font>)<img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16bfdef1a5a149feab9934"/>
Question 100 :
A particle of mass 6 kg moves according to the law x = 0.2 t<sup>2</sup> + 0.02 t<sup>3</sup>. Find the work done by the force in first 4s.<br>
Question 101 :
<font>In a factory, 2000 kg metal is lifted by 12 m in 1 minute by a crane. The minimum horse power of the engine is</font></p>
Question 102 :
<font>A particle of mass 6 kg moves according to the law x = 0.2 t</font><sup><font>2</font></sup><font> + 0.02 t</font><sup><font>3</font></sup><font>. Find the work done by the force in first 4s.</font></p>
Question 103 :
<font>A body is attached to the lower end of a vertical spiral spring and it is gradually lowered to its equilibrium position. This stretches the spring by a length x. If the same body attached to the same spring is allowed to fall suddenly, what would be the maximum stretching in this case</font></p>
Question 104 :
<font>A body of mass m is in vertical motion under the influence of gravity then</font></p>
Question 105 :
<font>A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms</font><sup><font>-1</font></sup><font>. The magnitude of its momentum is recorded as -</font></p>
Question 107 :
<font>A particle of mass m is projected with velocity u at an angle </font><font face="Symbol, serif"><font></font></font><font> with horizontal. During the period when the particle descends from highest point to the position where its velocity vector makes an angle </font><font face="Symbol, serif"><font></font></font><font>/2 with horizontal. Work done by the gravity force is</font></p>
Question 108 :
<font>A brick of mass 1.8 kg is kept on a spring of spring constant K = 490 N m</font><sup><font>-1</font></sup><font>. The spring is compressed so that after the release brick rises to 3.6 m. Find the compression in the spring.</font></p>
Question 109 : <font>Coefficient of friction between a tool and grinding wheel is </font><font face="Symbol, serif"><font></font></font><font>.Power developed in watt by the wheel of radius r running at n revolutions per second when tool is pressed to the wheel with F' kgf is </font> </p> <p align="center"> <img style='object-fit:contain' align="bottom" height="118" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f580e6377b2e815f590d" width="161"/> </p>
Question 110 :
<font>A chain is placed on a frictionless table with one fourth of it hanging over the edge. If the length of the chain is 2m and its mass is 4kg, the energy need to be spent to pull it back to the table is</font></p>
