Question 1 :
<font>From a water fall, water is falling at the rate of 100 kg/s on the blades of turbine. If the height of the fall is 100m then the power delivered to the turbine is approximately equal to</font></p>

Question 2 :
<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 3 :
<font>A 10 kg object is acted on by a conservative force given by F = - 2x - 6x</font>^{<font>2</font>}<font>, with F in newtons and x in metres. Take the potential energy associated with the force to be zero when the object is at x = 0. The potential energy of the system at x = 2 m is:</font></p>

Question 4 :
<font>Consider a one-dimensional motion of a particle with total energy E. There are four regions A, B, C and D in which the relation between potential energy V, kinetic energy (K) and total energy E is as given below:</font></p> <p align="justify"> <font>Region A: V &gt; E</font></p> <p align="justify"> <font>Region B: V &lt; E</font></p> <p align="justify"> <font>Region C: K &gt; E</font></p> <p align="justify"> <font>Region D: V &gt; K</font></p> <p align="justify"> <font>Which of the following regions the particle cannot be found?</font></p>

Question 5 :
<font>A body of mass 5 kg is placed at the origin, and can move only on the x-axis. A force of 10 N is acting on it in a direction making an angle of </font> <img style='object-fit:contain' align="bottom" height="16" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f2ace6377b2e815f5707" width="24"/> <font>with the x-axis and displaces it along the x-axis by 4 metres. The work done by the force is </font></p>

Question 6 :
<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>

Question 7 :
<font>A uniform chain of length 2m is held on a smooth horizontal table so that half of it hangs over the edge. If it is released from rest, the velocity with which it leaves the table will be nearest to</font></p>

Question 8 :
<font>U(x) </font><font face="Symbol, serif"><font></font></font><font> x curve of one dimensional conservative force is shown. Three points A, B and C are marked on the curve. The correct pairing of the points with the type of equilibrium they show on the curve is :</font></p> <p align="center"> <img style='object-fit:contain' align="bottom" height="70" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f548a89a512aab212f4f" width="192"/> </p>

Question 9 :
<font>Once a choice is made regarding zero potential energy reference state, the changes in potential energy</font></p>

Question 10 :
<font>A 60 N weight is Supported by a cable attached to an end of a light rod, whose other end is hinged at point P. The rod is supported by a second cable as shown. The force exerted by the hinge on the rod has magnitude. </font> </p> <p align="center"> <img style='object-fit:contain' align="bottom" height="131" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f567e6377b2e815f58e1" width="85"/> </p>

Question 11 :
<font>The linear momentum of a particle varies with time t as :</font></p> <p align="justify"> <font>p = a + bt + ct</font>^{<font>2</font>}<font> Which of the following statements is correct ?</font></p>

Question 12 :
<font>Consider the following two statements</font></p> <p align="justify"> <font>1. Linear momentum of a system of particles is zero</font></p> <p align="justify"> <font>2. Kinetic energy of a system of particles is zero</font></p> <p align="justify"> <font>Then</font></p>

Question 13 :
<font>A proton has a positive charge. If two protons are brought near to one another, the potential energy of the system will</font></p>

Question 14 :
<font>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 </font> </p>

Question 15 :
<font>A force F acting on an object varies with distance x as shown in fig. The work done by the force in moving the object from x = 0 to x = 6m is </font> </p> <p align="center"> <img style='object-fit:contain' align="bottom" height="104" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f56990ff204d2b98d5cf" width="207"/> </p>

Question 16 :
<font>A body of mass m is in vertical motion under the influence of gravity then</font></p>

Question 17 :
<font>A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms</font>^{<font>-1</font>}<font>. The magnitude of its momentum is recorded as -</font></p>

Question 18 :
<font>Three identical uniform, meter sticks where stacked and clubbed together so as to form a single unit, with 30 cm, 40 cm and x cm, respectively hanging over the edge as shown. The maximum value of x for which the metersticks remains in equilibrium on the table is : </font> </p> <p align="center"> <img style='object-fit:contain' align="bottom" height="79" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f55de6377b2e815f58df" width="123"/> </p>

Question 19 :
<font>A brick of mass 1.8 kg is kept on a spring of spring constant K = 490 N m</font>^{<font>-1</font>}<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 20 :
<font>a 5 kg block is kept on a horizontal platform at rest. at time t = 0, the platform starts moving with a constant acceleration of 1 m/s</font>^{<font>2</font>}<font>. the coefficient of friction </font><font face="Symbol, serif"><font></font></font><font> between the block and the platform is 0.2. the work done by the force of friction on the block in the fixed reference frame in 10 s is</font></p> <p align="justify"> <font>(</font><font>a</font><font>) +250 J (</font><font>b</font><font>) -250 J </font><font>(c) +500 J (d) -500 J</font></p> <p align="justify"> <font face="Times New Roman Bold, serif"><font>

Question 21 :
<font>A spring mass system, arranged on a horizontal frictionless surface, is executing simple harmonic motion of an amplitude 20 cm. When it is momentarily at rest at one of the extreme end of the motion, another identical mass is added to the first one. The two masses continue the oscillations together. When these are passing through equilibrium position, their speed is </font> </p> <p align="center"> <img style='object-fit:contain' align="bottom" height="42" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f5553e65343a88286323" width="174"/> </p>

Question 22 :
<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 23 :
<font>A particle of mass 6 kg moves according to the law x = 0.2 t</font>^{<font>2</font>}<font> + 0.02 t</font>^{<font>3</font>}<font>. Find the work done by the force in first 4s.</font></p>

Question 24 :
<font>A particle moves with a velocity </font> <img style='object-fit:contain' align="bottom" height="29" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f5cd3e65343a88286387" width="87"/> <font>ms</font>^{<font>-1</font>}<font> under the influence of a constant force </font> <img style='object-fit:contain' align="bottom" height="29" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f5cea89a512aab212fc8" width="107"/> <font>N. The instantaneous power applied to the particle is -</font></p>