Numerical Problems Based on Class 11 Physics Motion along Rough Inclined Plane with Answers
Here we are providing numerical problems based on class 11 physics. In this article, you will find numerical problems based on class 11 physics motion along rough inclined plane with answers.
Table of Contents
Q.1. A block of mass 10 kg is sliding on a surface inclined at an angle of 30° with the horizontal. If the coefficient of friction between the block and the surface is 0.5, find the acceleration produced in the block.
(Ans. 0.657 ms-2)
Q.2. A block slides down an incline of 30° with an acceleration equal to g/4. Find the coefficient of kinetic friction.
(Ans. 1/2)
Q.3. A block of mass 2 kg rests on a plane inclined at an angle of 30° with the horizontal. The coefficient of friction between the block and the surface is 0.7. What will be the frictional force acting on the block?
(Ans. 11.9 N)
Q.4. Find the force required to move a train of mass 105 kg up an incline 1 in 50 with an acceleration of 2 ms-2. Coefficient of friction between the train and the rails is 0.005. Take g = 10 ms-2.
(Ans 2.25 × 105 N)
Q.5. A 10 kg block slides without acceleration down a rough inclined plane making an angle of 20° with the horizontal. Calculate the acceleration when the inclination of the plane is increased to 30° and the work done over a distance of 1.2 m. Take g = 9.8 ms-2.
(Ans. 1.8 ms-2, 21.6 J)
Q.6. A railway engine weighing 40 metric ton is travelling along a level track at a speed of 54 kmh-1. What additional power is required to maintain the same speed up an incline rising 1 in 49. Given μ = 0.1, g = 9.8 ms-2.
(Ans. 120 kW)
Q.7. A metal block of mass 0.5 kg is placed on a plane inclined to the horizontal at an angle of 30°. If the coefficient of friction is 0.2, what force must be applied
(i) to just prevent the block from sliding down the inclined plane
(ii) to just move the block up the inclined plane and
(iii) to move it up the inclined plane with an acceleration of 20 cms-2 ?
[Ans. (i) 1.6 N (ii) 3.299 N (iii) 3.399 N]
