1
BITSAT 2023
+3
-1

The masses of block $$A$$ and $$B$$ are $$m$$ and $$M$$, respectively. Between $$A$$ and $$B$$, there is a constant frictional force $$F$$ and $$B$$ can slide on a smooth horizontal surface. A is set in motion with velocity $$3 v_0$$ while $$B$$ is at rest. What is the distance moved by $$A$$ relative to $$B$$ before they move with the same velocity?

A
$$\frac{m M v_0^2}{F(m-M)}$$
B
$$\frac{M v_0^2}{18 F(m-M)}$$
C
$$\frac{m M v_0^2}{9 F(m+M)}$$
D
$$\frac{9 m M v_0^2}{2 F(m+M)}$$
2
BITSAT 2021
+3
-1

The initial speed of a body of mass 2.0 kg is 5 m/s. A force acts for 4 s in the direction of motion of the body, as shown in force-time graph. The impulse of force is

A
8.50 Ns
B
8 Ns
C
5.5 Ns
D
6 Ns
3
BITSAT 2021
+3
-1

A uniform rod AB of length L = 1 m is sliding along two mutually perpendicular surfaces OP and OQ as shown in the figure.

When the rod subtends an angle $$\theta$$ = 30$$^\circ$$ with OQ, the end B has a velocity $$\sqrt3$$ m/s. The velocity of end A at that time is

A
1 m/s
B
0.5 m/s
C
$$\sqrt3$$ m/s
D
$${1 \over {\sqrt 3 }}$$ m/s
4
BITSAT 2021
+3
-1

A block of mass 10 kg rests on a rough inclined plane making an angle of 30$$^\circ$$ with the horizontal. The coefficient of static friction between the block and the plane is 0.1. The friction force on the block is

A
4.9 N
B
49$$\sqrt3$$ N
C
49 N
D
0.1 $$\times$$ 49$$\sqrt3$$ N
EXAM MAP
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