1
JEE Main 2020 (Online) 2nd September Morning Slot
Numerical
+4
-0

A small block starts slipping down from a point B on an inclined plane AB, which is making an angle $$\theta$$ with the horizontal section BC is smooth and the remaining section CA is rough with a coefficient of friction $$\mu$$. It is found that the block comes to rest as it reaches the bottom (point A) of the inclined plane. If BC = 2AC, the coefficient of friction is given by $$\mu$$ = ktan $$\theta$$ . The value of k is _________.
2
JEE Main 2020 (Online) 8th January Morning Slot
Numerical
+4
-0
A body A, of mass m = 0.1 kg has an initial velocity of 3$$\widehat i$$ ms-1 . It collides elastically with another body, B of the same mass which has an initial velocity of 5$$\widehat j$$ ms-1. After collision, A moves with a velocity $$\overrightarrow v = 4\left( {\widehat i + \widehat j} \right)$$. The energy of B after collision is written as $${x \over {10}}$$. The value of x is ___________.
3
JEE Main 2020 (Online) 7th January Morning Slot
Numerical
+4
-0
A particle (m = 1 kg) slides down a frictionless track (AOC) starting from rest at a point A (height 2 m). After reaching C, the particle continues to move freely in air as a projectile. When it reaching its highest point P (height 1 m), the kinetic energy of the particle (in )) is :
(Figure drawn is schematic and not to scale; take g = 10 ms-2)
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