AIEEE 2005 | Work Power & Energy Question 115 | Physics

A spherical ball of mass $$20$$ $$kg$$ is stationary at the top of a hill of height $$100$$ $$m$$. It rolls down a smooth surface to the ground, then climbs up another hill of height $$30$$ $$m$$ and finally rolls down to a horizontal base at a height of $$20$$ $$m$$ above the ground. The velocity attained by the ball is

$$20$$ $$m/s$$

$$40$$ $$m/s$$

$$10\sqrt {30} \,\,\,m/s$$

$$10\,\,m/s$$

AIEEE 2005

MCQ (Single Correct Answer)

-1

A body of mass $$m$$ is accelerated uniformly from rest to a speed $$v$$ in a time $$T.$$ The instantaneous power delivered to the body as a function of time is given by

$${{m{v^2}} \over {{T^2}}}.{t^2}$$

$${{m{v^2}} \over {{T^2}}}.t$$

$${1 \over 2}{{m{v^2}} \over {{T^2}}}.{t^2}$$

$${1 \over 2}{{m{v^2}} \over {{T^2}}}.t$$

AIEEE 2004

MCQ (Single Correct Answer)

-1

A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement $$x$$ is proportional to

$$x$$

$${e^x}$$

$${x^2}$$

$${\log _e}x$$

AIEEE 2004

MCQ (Single Correct Answer)

-1

A uniform chain of length $$2$$ $$m$$ is kept on a table such that a length of $$60$$ $$cm$$ hangs freely from the edge of the table. The total mass of the chain is $$4$$ $$kg.$$ What is the work done in pulling the entire chain on the table?

$$12$$ $$J$$

$$3.6$$ $$J$$

$$7.2$$ $$J$$

$$1200$$ $$J$$

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