1
JEE Advanced 2013 Paper 2 Offline
+3
-0.75

A small block of mass 1 kg is released from rest at the top of a rough track. The track is circular arc of radius 40 m. The block slides along the track without toppling and a frictional force acts on it in the direction opposite to the instantaneous velocity. The work done in overcoming the friction up to the point Q, as shown in the figure, below, is 150 J. (Take the acceleration due to gravity, g = 10 m/s2) The speed of the block when it reaches the point Q is

A
5 ms-1
B
10 ms-1
C
$$10\sqrt 3$$ ms-1
D
20 ms-1
2
JEE Advanced 2013 Paper 2 Offline
+3
-0.75

A small block of mass 1 kg is released from rest at the top of a rough track. The track is circular arc of radius 40 m. The block slides along the track without toppling and a frictional force acts on it in the direction opposite to the instantaneous velocity. The work done in overcoming the friction up to the point Q, as shown in the figure, below, is 150 J. (Take the acceleration due to gravity, g = 10 m/s2) The magnitude of the normal reaction that acts on the block at the point Q is

A
7.5 N
B
8.6 N
C
11.5 N
D
22.5 N
3
JEE Advanced 2013 Paper 1 Offline
+2
-0.5
The work done on a particle of mass m by a force $$K\left[ {{x \over {{{\left( {{x^2} + {y^2}} \right)}^{3/2}}}}\widehat i + {y \over {{{\left( {{x^2} + {y^2}} \right)}^{3/2}}}}\widehat j} \right]$$\$ (K being a constant of appropriate dimensions), when the particle is taken from the point $$\left( {a,0} \right)$$ to the point $$\left( {0,a} \right)$$ along a circular path of radius a about the origin in the x-y plane is
A
$${{2K\pi } \over a}$$
B
$${{K\pi } \over a}$$
C
$${{K\pi } \over {2a}}$$
D
0
4
IIT-JEE 2010 Paper 2 Offline
+3
-1

A block of mass 2 kg is free to move along the x-axis. It is at rest and from t = 0 onwards, it is subjected to a time-dependent force F(t) in the x-direction. The force F(t) varies with t as shown in the figure. The kinetic energy of the block after 4.5 s is A
4.50 J
B
7.50 J
C
5.06 J
D
14.06 J
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