Question 1 :
To avoid slipping while walking on ice, one should take smaller steps because:<br>

Question 2 :
A body of mass 40 gram is moving with a constant velocity of 20 $ms^{-}$ $^{1}$ on a horizontal frictionless table. The force acting on the body in horizontal direction is:

Question 3 :
The limiting value of static friction between two contact surfaces is :

Question 4 :
A body of mass $3\ kg$ is moving along a straight line with a velocity of $24\ {ms}^{-1}$. When it is at appoint $'P'$ a force of $9\ N$ acts on the body in a direction opposite to its motion. The time after which it will be at $'P'$ again is:

Question 5 :
A block of mass 2 kg rests on a rough inclned plane making am angle of $30^o$ with the horizontal. The coefficient of static friction between the block and the plans is 0.7. The frictional force on the block is $(g = 9.8 m/s^2)$ :

Question 7 :
A ware house worker exerts a constant horizontal force of magnitude $85\ N$ on a $40kg$ box that is initally at rest on the floor of the ware house. After moving a distance of $2m$ the speed of the box is $1 \ ms^{-1}$. The coefficent of friction between the box and the ware house floor is $(g=10ms^{-2})$

Question 8 :
A body is rolling on the ground with a velocity of $1\ m/s$. After travelling a distance of $5\ m$, the body stops. The coefficient of friction is:

Question 9 :
A particle attached to a string is rotating with a constant angular velocity and its momentum is $L$. If the string is halved and angular velocity is kept constant, the angular momentum will be

Question 10 :
The mass of a lift is 500 kg. When it ascends with an acceleration of {tex} 2 \mathrm { m } / \mathrm { s } ^ { 2 } {/tex}, the tension in the cable will be {tex} \left[ \mathrm { g } = 10 \mathrm { m } / \mathrm { s } ^ { 2 } \right] {/tex}

Question 11 :
A body slipping on a tough horizontal plane moves With a deceleration of 4.0 m/${ s }^{ 2 }$ . What is the coefficient of kinetic friction between the block and the plane ?

Question 12 :
A block of $1\ kg$ is stopped against a wall by applying a force $F$ perpendicular to the wall. If $\mu=0.2$ then minimum value of $F$ will be :

Question 13 :
A stick of {tex} 1 \ m {/tex} is moving with velocity of {tex} 2.7 \times 10 ^ { 8 } \mathrm { ms } ^ { -1 } . {/tex} What is the apparent length of the stick {tex} \left( c = 3 \times 10 ^ { 8 } \mathrm { ms } ^ { - 1 } \right) {/tex}

Question 14 :
The upper half of an inclined plane of inclination $\theta$ is perfectly smooth while the lower half is rough $A$ body starting from the rest at top come back to rest at the bottom, then the coefficient of friction for the lower half is given by _______.

Question 15 :
Two trolleys 1 and 2 are moving with acceleration a₁ and a₂ respectively in the same direction. A block of mass 'm' on trolleys 1 is in equilibrium from the frame of observer stationary w.r.t. trolleys 2. The magnitude of friction on block due to trolley is -<br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e75ed85491ec95800698533' height='66' width='206' >