Question 1 :
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 2 :
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 3 :
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 4 :
<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 5 :
<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 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 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 :
When a body moves in a circle, the work done by the centripetal force is always
Question 10 :
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 11 :
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 12 :
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 13 :
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 14 :
<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 15 :
<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 16 :
<font>The average energy consumed by a human being in a day is:</font></p>
Question 17 :
<font>The work done by a body against friction always results in :</font></p>
Question 18 :
<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 19 :
<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 20 :
<font>When two spheres of equal masses undergo glancing elastic collision with one of them at rest, after collision they will move:</font></p>