1
JEE Main 2022 (Online) 27th June Morning Shift
Numerical
+4
-1
Change Language

A pendulum of length 2 m consists of a wooden bob of mass 50 g. A bullet of mass 75 g is fired towards the stationary bob with a speed v. The bullet emerges out of the bob with a speed $${v \over 3}$$ and the bob just completes the vertical circle. The value of v is ___________ ms$$-$$1. (if g = 10 m/s2).

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2
JEE Main 2022 (Online) 25th June Evening Shift
Numerical
+4
-1
Change Language

A curved in a level road has a radius 75 m. The maximum speed of a car turning this curved road can be 30 m/s without skidding. If radius of curved road is changed to 48 m and the coefficient of friction between the tyres and the road remains same, then maximum allowed speed would be ___________ m/s.

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3
JEE Main 2021 (Online) 25th February Morning Shift
Numerical
+4
-1
Change Language
A small bob tied at one end of a thin string of length 1 m is describing a vertical circle so that the maximum and minimum tension in the string are in the ratio 5 : 1. The velocity of the bob at the highest position is ________ m/s. (Take g = 10 m/s2)
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