24. A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, the work required to pull the hanging part on the the table is ed he 30. The relationship between force and position is shown in figure given (in one dimensional case). The work done by the force is displaying a body from x = 1 cm to X = 5 cm is (a) MgL (c) MgL/9 25. During inelastic collision between two bodies, which of the following quantities always remain conserved? (b) MgL/3 (d) MgL/18 20- t the 10- en by 0- 1 -10+ 2 3 5 6 x (cm) is in INCERT Exemplar] (b) Total mechanical energy (c) Total linear momentum (d) Speed of each body nds is (a) Total kinetic energy -20+ 26. A spring of spring constant 5 x103 Nml is stretched initially by 5 cm from the unstretched position. Then the work required to stretch it further by another (a) 20 erg (c) 70 erg (b) 60 erg (d) 700 erg speed of it is just height of e against riction) is 31. A 10 kg brick moves along an x-axis. Its acceleration as a function of its position is shown in figure. What is the net work performed on the brick by the force causing the acceleration as the brick moves from x = 0 5 cm is (a) 12.50 N-m (c) 25.00 N-m (b) 18.75 N-m (d) 6.25 N-m 27. A rod AB of mass 10 kg and length 4 m rests on a horizontal floor with end A fixed so as to rotate it in vertical. Work done on the rod is 100 J. The height to which the end B be raised vertically above the floor is to x = 8.0 m ? 20 fmass M by acceleration is 15 (a) 1.5 m (c) 1.0 m (b) 2.0 m (d) 2.5 m 10 28. Two inclined frictionless tracks, one gradual and the other steep meet at A from where two stones are allowed to slide down from rest, one on each track as shown in figure. 1 2 3 4 5 6 7 8 ((m) A (a) 4 J (b) 8 J (d) 1 J 32. A 2.0 kg block is dropped from a height of 40 cm onto a spring of spring constant k = 1960 Nm-1. Find the maximum distance the spring is compressed. (c) 2 J h %3D top of the drum Ope is 0.5 kgm e ground from the low is (g = 10 ms o J Irum of capacity 02 (a) 0.080 m (b) 0.20 m 01 B C (c) 0.40 m (d) 0.10 m Which of the following statement is correct? [NCERT Exemplar] (al Both the stones reach the bottom at the same time but rtically from a ri ion l in its length not with the same speed (b) Both the stones reach the bottom with the same speed and stone I reaches the bottom earlier than stone 11 (c) Both the stones reach the bottom with the same speed and stone Il reaches the bottom earlier than stone 1 (d) Both the stones reach the bottom at different times and with different speeds 33. The graph between the resistive force F acting on a body and the distance covered by the body is shown in the figure. The mass of the body is 2.5 kg and initial velocity is 2 m/s. When the distance covered by the body is 4 m, its kinetic energy would be 29. A force F = 20 Ay2 + By + C acts on a body in the y-direction, The work done by this force during a displacement from y =- a to y = a is icycle due to the road INCERT Exemp 10+ 2 Aa (a) 2 Aa5 g stop in 10 m. Duri (b) +2Ca 3 3 1. (c) 2 Aa5 Ba 4 x (cm) to the motion. The wor + Ca 2 (d) None of these 3 (a) 50 J (c) 20 J (b) 40 J (ms-2) F (newton) Force (dyne) 4.