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JEE PHYSICS MCQ: WORK-ENERGY-POWER
1
Medium
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Analyzing
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Statement I A cyclist is moving on an unbanked road with a speed of and takes a sharp circular turn along a path of radius of 2 m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve
Statement II If the road is banked at an angle of , cyclist can cross the curve of 2 m radius with the speed of without slipping.
In the light of the above statements, choose the correct answer from the options given below.
Statement II If the road is banked at an angle of , cyclist can cross the curve of 2 m radius with the speed of without slipping.
In the light of the above statements, choose the correct answer from the options given below.
View answer and explanation
Correct option: D
Both statement I and II are true.
Option D (Both statement I and II are true) is correct because both statements are verifiable through calculations using friction and banking angle formulas.
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Assertion:When a particle moves in a circle with a uniform speed its acceleration is constant but the velocity changes.
Reason: Angular displacement is not an axial vector. A body of mass thrown vertically upwards attains a maximum height . As what height will its kinetic energy be of its initial value? Assertion: Centripetal force does no work.
Reason: Force and displacement are perpendicular to each other. Statement I: Both stretched and compressed springs possess potential energy.
Statement II: Work done against restoring force is stored as potential energy. A bullet of mass moving at a speed hits a ball of mass kept at rest. A small part having mass breaks from the ball and sticks to the bullet. The remaining ball is found to move at a speed in the direction of the bullet. Find the velocity of the bullet after the collision.
Reason: Angular displacement is not an axial vector. A body of mass thrown vertically upwards attains a maximum height . As what height will its kinetic energy be of its initial value? Assertion: Centripetal force does no work.
Reason: Force and displacement are perpendicular to each other. Statement I: Both stretched and compressed springs possess potential energy.
Statement II: Work done against restoring force is stored as potential energy. A bullet of mass moving at a speed hits a ball of mass kept at rest. A small part having mass breaks from the ball and sticks to the bullet. The remaining ball is found to move at a speed in the direction of the bullet. Find the velocity of the bullet after the collision.