Question 1 :
For same braking force the stopping distance of a vehicle increases from 15 m to 60 m. By what factor the velocity of vehicle has been changed

Question 2 :
The force required to just move a body up the inclined plane is double the force required to just prevent the body from sliding down the plane. The coefficient of friction is µ. The inclination θ of the plane is -

Question 3 :
Three blocks of masses m₁, m₂ and m₃ are placed on a horizontal frictionless surface. A force of 40 N pulls the system then calculate the value of T, if m₁ = 10kg, m₂ = 6 kg, m₃ = 4 kg - <br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e75ececb5f89758f2d4f4f6' height='53' width='187' >

Question 4 :
Blocks A and B in the figure are connected by a bar of negligible weight. If A = B = 170 kg &&mu;_A = 0.2 and &mu;_B = 0.4, where &mu;_A and &mu;_B are the coefficients of limiting friction between blocks and plane, calculate the force on the bar : (g = 10 m/s²)<br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e75ee85b5f89758f2d4f661' height='125' width='157' >

Question 5 :
The maximum speed that can be achieved without skidding by a car on a circular unbanked road of radius {tex} R {/tex} and coefficient of staic fricular {tex} \mu , {/tex} is

Question 6 :
A string of length <em>L</em> and mass <em>M</em> is lying on a horizontal table. A force <em>F</em> is applied at one end of string. Tension in the string at a distance <em>x</em> from the end at which force is applied is

Question 7 :
A block of mass {tex} 5 \mathrm { kg } {/tex} lies on a rough horizontal table. A force of {tex} 19.6 \ N {/tex} is enough to keep the body sliding at uniform velocity. The coefficient of sliding friction is

Question 8 :
The apparent weight of the body, when it is travelling upwards with an acceleration of {tex} 2 \mathrm { m } / \mathrm { s } ^ { 2 } {/tex} and mass is {tex} 10 \mathrm { kg } {/tex}, will be

Question 9 :
A bullet fired into a fixed target loses half its velocity after penetrating {tex} 3 \mathrm { cm } {/tex}. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?

Question 10 :
A 60 kg man stands on a spring scale in a lift. At some instant he finds that the scale reading has changed from 60 kg to 50 kg for a while and then comes back to the original mark . What should he conclude?

Question 11 :
Consider a car moving on a straight road with a speed of {tex}100 \mathrm { m } / \mathrm { s } {/tex} . The distance at which car can be stopped is {tex} \left[ \mu _ { \mathrm { k } } = 0.5 \right] {/tex}

Question 12 :
In the figure given below, if all surface are assumed to be smooth and the force F = 100N. If acceleration of block B of mass 20kg is 'a' and tension in string connecting block A of mass 20 kg is T then just after when the force F is applied- <br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e75eced491ec958006984ac' height='74' width='130' >

Question 13 :
A marble block of mass {tex}2 \mathrm { kg } {/tex} lying on ice when given a velocity of {tex}6 \mathrm { m } / \mathrm { s } {/tex} is stopped by friction in {tex}10 \mathrm { s } {/tex} . Then the coefficient of friction is

Question 14 :
Which one of the following is not used to reduce friction

Question 17 :
Which of the following statements is not true regarding the Newton's third law of motion?

Question 18 :
Three blocks <em>m</em>₁, <em>m</em>₂ and <em>m</em>₃ of masses 8 kg, 3 kg and<br/> 1 kg are placed in contact on a smooth surface. Forces<br/> <em>F</em>₁ = 140 N and <em>F</em>₂ = 20 N are acting on blocks <em>m</em>₁ and <em>m</em>₃ respectively as shown. The reaction between blocks <em>m</em>₂ and <em>m</em>₃ is<img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16c07df1a5a149feab996a"/>

Question 19 :
In an elevator moving vertically up with an acceleration {tex} g , {/tex} the force exerted on the floor by a passenger of mass {tex} M {/tex} is

Question 20 :
A block of mass <em>m</em> slides without friction down a fixed inclined board of inclination α with the horizontal. After leaving the inclined, the block falls on a cart of mass <em>M.</em> Initial height of the block above the level of the cart is <em>h</em> as shown. The velocity of cart when block drops on it will be<img style='object-fit:contain' style="max-width:240px;" src="https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5f16c1f6f1a5a149feab9a08"/>

Question 21 :
A machine gun fires a bullet of mass {tex} 40 \mathrm {\ g } {/tex} with a velocity {tex} 1200 \mathrm { ms } ^ { - 1 } {/tex}. The man holding it can exert a maximum force of {tex} 144 \mathrm {\ N } {/tex} on the gun. How many bullets can he fire per second at the<br>most<br>

Question 22 :
Starting from rest, a body slides down a {tex} 45 ^ { \circ } {/tex} inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is

Question 23 :
In which of the following cases forces may not be required to keep the<br>

Question 24 :
{tex} \mathrm { Assertion }: {/tex} A table cloth can be pulled from a table without dislodging the dishes.<br>{tex} \mathrm { Reason }: {/tex} To every action there is an equal and opposite reaction.

Question 25 :
A vehicle of {tex} 100 \mathrm { kg } {/tex} is moving with a velocity of {tex} 5 \mathrm { m } / \mathrm { sec } {/tex}. To stop it in {tex} \frac { 1 } { 10 } \mathrm { sec } , {/tex} the required force in opposite direction is

Question 26 :
Two bodies of mass 1 kg and 2 kg move towards each other in mutually perpendicular direction with the velocities 3 m/s and 2 m/s respectively. If the bodies stick together after collision the heat liberated will be

Question 27 :
A block is kept on a frictionless inclined surface with angle of inclination {tex} \alpha {/tex}. The incline is given an acceleration {tex} a {/tex} to keep the block stationary. Then {tex} a {/tex} is equal to<br><img style='object-fit:contain' src="https://data-screenshots.sgp1.digitaloceanspaces.com/5da95803cac2c4435eb28dcb.jpg" />

Question 28 :
When forces {tex} F _ { 1 } , F _ { 2 } , F _ { 3 } {/tex} are acting on a particle of mass {tex} m {/tex} such that {tex} F _ { 2 } {/tex} and {tex} F _ { 3 } {/tex} are mutually perpendicular, then the particle remains stationary. If the force {tex} F _ { 1 } {/tex} is now removed then the acceleration of the particle is

Question 29 :
A car turns a corner on a slippery road at a constant speed of {tex} 10 \mathrm { m } / \mathrm { s } {/tex}. If the coefficient of friction is {tex} 0.5 , {/tex} the minimum radius of the arc in meter in which the car turns is

Question 30 :
{tex}\mathrm{Assertion }{/tex} : The work done in bringing a body down from the top to the base along a frictionless incline plane is the same as the work done in bringing it down the vertical side.<br>{tex} \mathrm{ Reason }{/tex} : The gravitational force on the body along the inclined plane is the same as that along the vertical side.