# a small block of mass m is kept on a rough inclined surface of inclination fixed in an elevator. the elevator goes up with a uniform velocity and the block does not slide on the wedge. the work done by the force of friction on the block in time t will be

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## A small block of mass m is kept on a rough inclined surface of inclination θ fixed in an elevator. The elevator goes up with a uniform velocity v and the block does not slide on the wedge. The work done by the force of friction on the block in a time t will be

A small block of mass m is kept on a rough inclined surface of inclination θ fixed in an elevator. The elevator goes up with a uniform velocity v and the block does not slide on the wedge. The work done by the force of friction on the block in a time t will be

Byju's Answer Standard XII Physics

Elastic Potential Energy

A small block... Question

A small block of mass

m

is kept on a rough inclined surface of inclination

θ

fixed in an elevator. The elevator goes up with a uniform velocity

v

and the block does not slide on the wedge. The work done by the force of friction on the block in a time

t will be A zero B m g v t cos 2 θ C m g v t sin 2 θ D 1 2 m g v t sin 2 θ Open in App Solution

The correct option is **C**

m g v t sin 2 θ

Block does not slide, so estabilishing conditions of equilibrium along the incline we have,

f = m g sin θ In time t , displacement S = v t

The horizontal component of friction does zero work, but vertical component

f sin θ

does work on the block.

W f = ( f sin θ ) v t W f = m g v t sin 2 θ ( ∵ f = m g sin θ ) Why this question?

Tip: If the block is observed in the reference frame of elevator then there is no work done on it by the friction as its displacement is zero in this referance frame.

Suggest Corrections 10 SIMILAR QUESTIONS

**Q.**A small block of mass

m

is kept on a rough inclined surface of inclination

θ

fixed in an elevator. The elevator goes up with a uniform velocity

v

and the block does not slide on the wedge. The work done by the force of friction on the block in a time

t will be

**Q.**A small block of mass m is kept on a rough inclined surface of inclination θ fixed in an elevator. the elevator goes up with a uniform velocity v and the block does not slide on the wedge. The work done by the force of friction on the block in time t will be

(a) zero (b) mgvt cos2θ (c) mgvt sin2θ (d) mgvt sin 2θ

**Q.**A small block of mass

m

is kept on a rough inclined surface of inclination

θ

fixed in an elevator. The elevator goes up with a uniform velocity

v

and the block does not slide on the wedge. The work done by the force of friction on the block in time

t

as seen by the observer on the inclined plane will be :

**Q.**A small block of mass

m

is kept on a rough inclined surface of inclination

θ

fixed in an elevator. The elevator goes up with a uniform velocity

v

and the block does not slide on the wedge. The work done by the force of friction on the block in time

t will be

**Q.**A small block of mass m is kept on rough inclined surface of inclination

θ

fixed in an elevator. The elevator goes up with a uniform velocity v and the block does not slide on the wedge. The work done by the force of friction on the block in time t will be

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## A small block of mass m is kept on rough inclined surface of inclination theta fixed in an elevator. The elevator goes up with a uniform velocity v and the block does not slide on the wedge. The work done by the force of friction on the block in time t will be

Click here👆to get an answer to your question ✍️ A small block of mass m is kept on rough inclined surface of inclination theta fixed in an elevator. The elevator goes up with a uniform velocity v and the block does not slide on the wedge. The work done by the force of friction on the block in time t will be

Question

## A small block of mass m is kept on rough inclined surface of inclination θ fixed in an elevator. The elevator goes up with a uniform velocity v and the block does not slide on the wedge. The work done by the force of friction on the block in time t will be

**A**

## zero

**B**mgvtcos

2 θ

**C**mgvtsin

2 θ

**D**

## mgvtsin2θ

Medium Open in App Solution Verified by Toppr

Correct option is C)

Wf =fsinθS =(mgsinθ)(sinθ)(vt) =mgsin 2 θvt

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## A small block of mass m is kept on a rough inclined surface of inclination theta fixed in an elevator. The elevator goes up with a uniform velocity v and te block does not slide n te wedge. The work done by the force of friction on the block in time t will be

A small block of mass m is kept on a rough inclined surface of inclination theta fixed in an elevator. The elevator goes up with a uniform velocity v and te b

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A small block of mass m is kep...

A small block of mass m is kept on a rough inclined surface of inclination θ fixed in an elevator. The elevator goes up with a uniform velocity v and te block does not slide n te wedge. The work done by the force of friction on the block in time t will be

Updated On: 27-06-2022

( 00 : 30 ) ADVERTISEMENT Text Solution Open Answer in App A zero B `mgvt cos^2theta` C mgvt sin^2theta` D `mgvt si 2theta` Answer

The correct Answer is C

Answer

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

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Guys, does anyone know the answer?