a heavy stone is thrown from a cliff of height h with a speed . the stone will hit the ground with maximum if it is thrown.

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A heavy stone is thrown from a cliff of height h with speed v . The stone will hit the ground with maximum speed if it is thrown:

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Question

A heavy stone is thrown from a cliff of height h with speed v. The stone will hit the ground with maximum speed if it is thrown:

A

vertically downward

B

vertically upward

C

horizontally

D

the speed does not depend on the inital direction

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Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is D)

Speed at the time of hit is calculated as magnitude of velocity at that instant.

And velocity has two components, horizontal and vertical whose value depend on the angle but their resultant will be same.

In other words the speed at moment of hit can be calculated by conservation of mechanical energy, as height is constant so decrease in potential energy or increase in kinetic energy will be same whatever the angle of projection be.

Option D is correct.

Also, speed is scalar it does not depend on direction.

Note- if throwing it vertically downward then the vertical component will be greatest but resultant of horizontal and vertical will be always same for any angle.

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A heavy stone is thrown from a cliff of height h with a speed v. The stone will hit the ground with maximum speed if t is thrown

A heavy stone is thrown from a cliff of height h with a speed v. The stone will hit the ground with maximum speed if t is thrown

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A heavy stone is thrown from a...

A heavy stone is thrown from a cliff of height h with a speed v. The stone will hit the ground with maximum speed if t is thrown

Updated On: 27-06-2022

( 00 : 15 ) ADVERTISEMENT Text Solution Open Answer in App A vertically downward B vertically upward C horizontally D

the speed does not depend on the initial direction.

Answer

The correct Answer is D

Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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A heavy stone is thrown from a cliff of height h with a speed v. The stoen will hit the ground with maximum speed if it is thrown

A heavy stone is thrown from a cliff of height h with a speed v. The stoen will hit the ground with maximum speed if it is thrown

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A heavy stone is thrown from a cliff of height h with a speed v. The stoen will hit the ground with maximum speed if it is thrown

OPTIONS

vertically downward vertically upward horizontally

the speed does not depend on the initial direction.

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SOLUTION

the speed does not depend on the initial direction.

As the stone falls under the gravitational force, which is a conservative force, the total energy of the stone remains the same at every point during its motion.

From the conservation of energy, we have:

Initial energy of the stone = final energy of the stone

i.e.,(K.E.)i+(P.E.)i=(K.E.)f+(P.E.)f

max

⇒12mv2+mgh=12m(vmax)2

maxgh ⇒vmax=v2+2gh

From the above expression, we can say that the maximum speed with which stone hits the ground does not depend on the initial direction.

Concept: Conservation of Mechanical Energy

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Chapter 8: Work and Energy - MCQ [Page 131]

Q 1 Q 17 Q 2

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HC Verma Class 11, Class 12 Concepts of Physics Vol. 1

Chapter 8 Work and Energy

MCQ | Q 1 | Page 131

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