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 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
2
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
3
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
4
IIT-JEE 2008 Paper 2 Offline
+3
-1

A block (B) is attached to two unstretched springs S1 and S2 with spring constants k and 4k respectively (see figure I). The other ends are attached to identical supports M1 and M2 not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block displaced towards wall 1 by a small distance x (figure II) and released. The block returns and moves a maximum distance y towards wall 2. Displacements x and y are measured with respect to the equilibrium position of the block B. The ratio $$\frac{y}{x}$$ is :

A
4
B
2
C
$$\frac{1}{2}$$
D
$$\frac{1}{4}$$
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