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

A small block of mass M moves on a frictionless surface of an inclined plane, as shown in figure. The angle of the incline suddenly changes from 60$$^\circ$$ to 30$$^\circ$$ at point B. The block is initially at rest at A. Assume that collisions between the block and the incline are totally inelastic (g = 10 m/s$$^2$$).

The speed of the block at point B immediately after it strikes the second incline is

A
$$\sqrt{60}$$ m/s
B
$$\sqrt{45}$$ m/s
C
$$\sqrt{30}$$ m/s
D
$$\sqrt{75}$$ m/s
2
IIT-JEE 2008 Paper 1 Offline
+3
-1

A small block of mass M moves on a frictionless surface of an inclined plane, as shown in figure. The angle of the incline suddenly changes from 60$$^\circ$$ to 30$$^\circ$$ at point B. The block is initially at rest at A. Assume that collisions between the block and the incline are totally inelastic (g = 10 m/s$$^2$$).

The speed of the block at point C, immediately before it leaves the second incline is

A
$$\sqrt{120}$$ m/s
B
$$\sqrt{105}$$ m/s
C
$$\sqrt{90}$$ m/s
D
$$\sqrt{75}$$ m/s
3
IIT-JEE 2008 Paper 1 Offline
+3
-1

A small block of mass M moves on a frictionless surface of an inclined plane, as shown in figure. The angle of the incline suddenly changes from 60$$^\circ$$ to 30$$^\circ$$ at point B. The block is initially at rest at A. Assume that collisions between the block and the incline are totally inelastic (g = 10 m/s$$^2$$).

If collision between the block and the incline is completely elastic, then the vertical (upward) component of the velocity of the block at point B, immediately after it strikes the second incline is

A
$$\sqrt{30}$$ m/s
B
$$\sqrt{15}$$ m/s
C
0
D
$$-\sqrt{15}$$ m/s
4
IIT-JEE 2007 Paper 2 Offline
+3
-1
A particle moves in the X - Y plane under the influence of a force such that its linear momentum is $$\overrightarrow p \left( t \right) = A\left[ {\widehat i\cos (kt) - \widehat j\sin (kt)} \right]$$, where A and k are constants. The angle between the force and the momentum is
A
$$0^\circ$$
B
$$30^\circ$$
C
$$45^\circ$$
D
$$90^\circ$$
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