1
JEE Main 2022 (Online) 28th June Morning Shift
Numerical
+4
-1
A man of 60 kg is running on the road and suddenly jumps into a stationary trolly car of mass 120 kg. Then, the trolly car starts moving with velocity 2 ms$$-$$1. The velocity of the running man was ___________ ms$$-$$1, when he jumps into the car.
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2
JEE Main 2022 (Online) 26th June Evening Shift
Numerical
+4
-1
A batsman hits back a ball of mass 0.4 kg straight in the direction of the bowler without changing its initial speed of 15 ms$$-$$1. The impulse imparted to the ball is ___________ Ns.
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3
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
A bullet of 10 g, moving with velocity v, collides head-on with the stationary bob of a pendulum and recoils with velocity 100 m/s. The length of the pendulum is 0.5 m and mass of the bob is 1 kg. The minimum value of v = ____________ m/s so that the pendulum describes a circle. (Assume the string to be inextensible and g = 10 m/s2)
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4
JEE Main 2021 (Online) 25th July Morning Shift
Numerical
+4
-1
A body of mass 2 kg moving with a speed of 4 m/s. makes an elastic collision with another body at rest and continues to move in the original direction but with one fourth of its initial peed. The speed of the two body centre of mass is $${x \over {10}}$$ m/s. Then the value of x is ___________.
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