Question 1 :
<font>n small balls each of mass m impinge elastically each second on a surface with velocity u. The force experienced by the surface will be</font></p>

Question 2 :
<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 3 :
<font>A coconut of mass m falls from the tree through a vertical distance of s and could reach ground with a velocity of v ms</font>^{<font>-1</font>}<font> due to air resistance. Work done by air resistance is </font> </p> <p align="center"> <img style='object-fit:contain' align="bottom" height="146" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f59290ff204d2b98d619" width="63"/> </p>

Question 4 :
<font>A 10 kg satellite completes one revolution around the earth at a height of 100 km in 108 minutes. The work done by the gravitational force of earth will be</font></p>

Question 5 :
<font>Once a choice is made regarding zero potential energy reference state, the changes in potential energy</font></p>

Question 6 :
<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 7 :
<font>A particle of mass 4 m which is at rest explodes into three fragments. Two of the fragments each of mass m are found to move with a speed v each in mutually perpendicular directions. The energy released in the process of explosion is</font></p>

Question 8 :
<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 9 :
<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 10 :
<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 11 :
<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 12 :
<font>A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much water from the same pipe in the same time, power of the motor has to be increased to</font></p>

Question 13 :
<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 14 :
<font>A body of mass m is in vertical motion under the influence of gravity then</font></p>

Question 15 :
<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 16 :
<font>A fire hose has a diameter of 2.5cm and is required to direct a jet of water to a height of at least 40 m. The minimum power of the pump needed for this hose is:</font></p>

Question 17 :
<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 18 :
<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 19 :
<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 20 :
<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 21 :
<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 22 :
<font>A block of mass 2kg is released from A on the track that is one quadrant of a circle of radius 1m. It slides down the track and reaches B with a speed of </font> <img style='object-fit:contain' align="bottom" height="22" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f4bba89a512aab212e42" width="41"/> <font> and finally stops at C at a distance of 3m from B. The work done against the force of friction is</font></p> <p> <img style='object-fit:contain' align="bottom" height="93" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5fc0f4bba89a512aab212e43" width="190"/> </p>

Question 23 :
<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>

Question 25 :
<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 26 :
<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 27 :
<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 28 :
<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 29 :
<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>