JEE Exam > JEE Questions > A small block of mass m is kept on a rough in...
Start Learning for Free
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 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
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)mgvt cos2θ
- c)mgvt sin2θ
- d)1/2mgvt sin 2θ
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A small block of mass m is kept on a rough inclined surface of inclina...
Block does not slide. Hence force of friction.
f = mg sin θ
In time t, displacement S = vt
Wf = f. s. cos (90° – θ)
= (mg sin θ)(vt) (sin θ)
= mgvt sin2 θ
In time t, displacement S = vt
Wf = f. s. cos (90° – θ)= (mg sin θ)(vt) (sin θ)
= mgvt sin2 θ
Most Upvoted Answer
A small block of mass m is kept on a rough inclined surface of inclina...
C) mgvt sin2θ
The work done by the force of friction on the block can be calculated using the formula:
Work = Force x Distance
The force of friction can be calculated using the formula:
Force of friction = μ * Normal force
In this case, the normal force is equal to the weight of the block, which is mg, and the coefficient of friction is given by the roughness of the inclined surface.
Since the block does not slide on the wedge, the force of friction must be equal to the component of the weight of the block along the surface of the inclined plane. This component can be calculated using the formula:
Force along the surface = mg * sinθ
Therefore, the force of friction is equal to mg * sinθ.
The distance traveled by the block in time t can be calculated using the formula:
Distance = Velocity x Time
Substituting the given values, the distance traveled by the block is equal to vt.
The work done by the force of friction is then equal to:
Work = (mg * sinθ) * (vt)
Simplifying this expression, we get:
Work = mgvt sinθ
Therefore, the correct answer is c) mgvt sin2θ.
The work done by the force of friction on the block can be calculated using the formula:
Work = Force x Distance
The force of friction can be calculated using the formula:
Force of friction = μ * Normal force
In this case, the normal force is equal to the weight of the block, which is mg, and the coefficient of friction is given by the roughness of the inclined surface.
Since the block does not slide on the wedge, the force of friction must be equal to the component of the weight of the block along the surface of the inclined plane. This component can be calculated using the formula:
Force along the surface = mg * sinθ
Therefore, the force of friction is equal to mg * sinθ.
The distance traveled by the block in time t can be calculated using the formula:
Distance = Velocity x Time
Substituting the given values, the distance traveled by the block is equal to vt.
The work done by the force of friction is then equal to:
Work = (mg * sinθ) * (vt)
Simplifying this expression, we get:
Work = mgvt sinθ
Therefore, the correct answer is c) mgvt sin2θ.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A small block of mass m is kept on a rough inclined surface of inclination ? fixed in an elevator. Theelevator goes up with a uniform velocity v and the block does not slide on the wedge. The workdone by the force of friction on the block in a time t will bea)zerob)mgvt cos2θc)mgvt sin2θd)1/2mgvt sin 2θCorrect answer is option 'C'. Can you explain this answer?
Question Description
A small block of mass m is kept on a rough inclined surface of inclination ? fixed in an elevator. Theelevator goes up with a uniform velocity v and the block does not slide on the wedge. The workdone by the force of friction on the block in a time t will bea)zerob)mgvt cos2θc)mgvt sin2θd)1/2mgvt sin 2θCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A small block of mass m is kept on a rough inclined surface of inclination ? fixed in an elevator. Theelevator goes up with a uniform velocity v and the block does not slide on the wedge. The workdone by the force of friction on the block in a time t will bea)zerob)mgvt cos2θc)mgvt sin2θd)1/2mgvt sin 2θCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A small block of mass m is kept on a rough inclined surface of inclination ? fixed in an elevator. Theelevator goes up with a uniform velocity v and the block does not slide on the wedge. The workdone by the force of friction on the block in a time t will bea)zerob)mgvt cos2θc)mgvt sin2θd)1/2mgvt sin 2θCorrect answer is option 'C'. Can you explain this answer?.
A small block of mass m is kept on a rough inclined surface of inclination ? fixed in an elevator. Theelevator goes up with a uniform velocity v and the block does not slide on the wedge. The workdone by the force of friction on the block in a time t will bea)zerob)mgvt cos2θc)mgvt sin2θd)1/2mgvt sin 2θCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A small block of mass m is kept on a rough inclined surface of inclination ? fixed in an elevator. Theelevator goes up with a uniform velocity v and the block does not slide on the wedge. The workdone by the force of friction on the block in a time t will bea)zerob)mgvt cos2θc)mgvt sin2θd)1/2mgvt sin 2θCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A small block of mass m is kept on a rough inclined surface of inclination ? fixed in an elevator. Theelevator goes up with a uniform velocity v and the block does not slide on the wedge. The workdone by the force of friction on the block in a time t will bea)zerob)mgvt cos2θc)mgvt sin2θd)1/2mgvt sin 2θCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A small block of mass m is kept on a rough inclined surface of inclination ? fixed in an elevator. Theelevator goes up with a uniform velocity v and the block does not slide on the wedge. The workdone by the force of friction on the block in a time t will bea)zerob)mgvt cos2θc)mgvt sin2θd)1/2mgvt sin 2θCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A small block of mass m is kept on a rough inclined surface of inclination ? fixed in an elevator. Theelevator goes up with a uniform velocity v and the block does not slide on the wedge. The workdone by the force of friction on the block in a time t will bea)zerob)mgvt cos2θc)mgvt sin2θd)1/2mgvt sin 2θCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A small block of mass m is kept on a rough inclined surface of inclination ? fixed in an elevator. Theelevator goes up with a uniform velocity v and the block does not slide on the wedge. The workdone by the force of friction on the block in a time t will bea)zerob)mgvt cos2θc)mgvt sin2θd)1/2mgvt sin 2θCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A small block of mass m is kept on a rough inclined surface of inclination ? fixed in an elevator. Theelevator goes up with a uniform velocity v and the block does not slide on the wedge. The workdone by the force of friction on the block in a time t will bea)zerob)mgvt cos2θc)mgvt sin2θd)1/2mgvt sin 2θCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A small block of mass m is kept on a rough inclined surface of inclination ? fixed in an elevator. Theelevator goes up with a uniform velocity v and the block does not slide on the wedge. The workdone by the force of friction on the block in a time t will bea)zerob)mgvt cos2θc)mgvt sin2θd)1/2mgvt sin 2θCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A small block of mass m is kept on a rough inclined surface of inclination ? fixed in an elevator. Theelevator goes up with a uniform velocity v and the block does not slide on the wedge. The workdone by the force of friction on the block in a time t will bea)zerob)mgvt cos2θc)mgvt sin2θd)1/2mgvt sin 2θCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup