Question 1 :
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 2 :
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 3 :
<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 4 :
Two identical spheres move in opposite directions with speeds v<sub>1</sub> and v<sub>2</sub> and pass behind an opaque screen, where they may either cross without touching (event 1) or make an elastic head-on collision (event 2) -<br>
Question 5 :
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<br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e7d97e025bd3947928ed84f' height='134' width='163' ><br>
Question 6 :
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 7 :
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 8 :
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 9 :
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 10 :
A uniform chain of length <em>L</em> and mass <em>M</em> overhangs a horizontal table with its two third part on the table. The friction coefficient between the table and the chain is <font face="Symbol">µ</font>. The work done by the friction during the period the chain slips off the table is
Question 11 :
<span>A force </span> <img style='object-fit:contain' align="bottom" height="21" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f2ace6377b2e815f5709" width="75"/> <span>N is applied over a particle which displaces it from its origin to the point </span> <img style='object-fit:contain' align="bottom" height="21" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f2ade6377b2e815f570a" width="69"/> <span> metres. The work done on the particle is</span>
Question 12 :
<font>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</font><sup><font>-1</font></sup><font>. If Mr. X catches it the changes in velocity of X and Y are </font> </p> <p align="center"> <img style='object-fit:contain' align="bottom" height="141" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f58690ff204d2b98d603" width="130"/> </p>
Question 13 :
<font>A bicyclist comes to a skidding stop in 10 m. during this process, the force on the bicycle due to the road is 200 N and is directly opposed to the motion. The work done by the cycle on the road is</font></p>
Question 14 :
<font>Water from a stream is falling on the blades of a turbine at the rate of 100 kg/sec. If the height of the stream is 100 m, then the power delivered to the turbine is -</font></p>
Question 15 :
A man squatting on the ground gets straight up and stands. The force of reaction of ground on the man during the process is.<br>
Question 17 :
<font>A shell of mass 10 kg is moving with a velocity of 10 ms</font><sup><font>-1</font></sup><font> when it blasts and forms two parts of mass 9 kg and 1 kg respectively. If the I</font><sup><font>st</font></sup><font> mass is stationary, the velocity of the II</font><sup><font>nd</font></sup><font> is :</font></p>
Question 18 :
A proton is kept at rest. A positively charged particle is released from rest at a distance d in its field. Consider two experiments; one is which the charged particle is a proton and in another a positron. In the same time t, the work done on the two moving charged particles is.<br>
Question 19 :
<font>A body of mass 2 kg is being dragged with a uniform velocity of 2 ms</font><sup><font>-1</font></sup><font> on a horizontal plane. The coefficient of friction between the body and the surface is 0.2. Work done in 5s is</font></p>
Question 20 :
<font>A body of mass 10 kg at rest is acted upon simultaneously by two forces 4N and 3N at right angles to each other. The kinetic energy of the body at the end of 10 sec is</font></p>