A block of mass $m$ is placed on a rough inclined plane with an angle of inclination $heta$. The coefficient of static friction between the block and the plane is $\mu_s$. A horizontal force $F$ is applied to the block. For what range of values of $F$ will the block remain at rest?

Which of the following is NOT a factor affecting friction?

1 kg body explodes into three fragments. The ratio of their masses is $1:1:3$. The fragments of same mass move perpendicular to each other with speeds $\;30{\rm{m}}{{\rm{s}}^{ - 1}}$, while the heavier part remains in the initial direction. The speed of heavier part is

Which of the following statements is true about the static frictional force acting on a stationary object on a rough surface?

A nucleus at rest splits into two nuclear parts having same density and radii in the ratio $1:2$. Their velocities are in the ratio

Friction always acts in a direction _______ to the direction of motion.

A gun of mass 20 kg has bullet of mass 0.1 kg in it. The gun is free to recoil 804 J of recoil energy are released on firing the gun. The speed of bullet $\left( {{\rm{m}}{{\rm{s}}^{ - 1}}} \right)$ is

A stationary body of mass 3 kg explodes into three equal pieces. Two of the pieces fly off in two mutually perpendicular directions, one with velocity of $3\;\hat i\;{\rm{m}}{{\rm{s}}^{ - 1}}$ and the other with a velocity of $4\;\hat j\,{\rm{m}}{{\rm{s}}^{ - 1}}$ . If the explosion occurs in ${10^{ - 4}}$ s, the force acting on the third piece in newtons is

A bomb at rest explodes into 3 parts of the same mass. The momentum of the 2 parts is $- 2p\,\hat i\,and\,\hat p j$. The momentum of the third part will have a magnitude of

A car is moving with uniform speed on a banked road inclined at an angle $heta$. The coefficient of static friction between the tyres and road is $\mu_s$. What is the maximum speed with which the car can negotiate the curve without skidding, if the radius of the curve is $R$?

A block of mass 2 kg is placed on a rough horizontal surface with coefficient of static friction μs = 0.5. A force F is applied at an angle θ = 30° with the horizontal. What is the minimum force F required to just start moving the block?