Home
Class 11
PHYSICS
A man of mass m , standing at the bottom...

A man of mass m , standing at the bottom of the staircase of height L climbs it and stands at its top .

Text Solution

Verified by Experts

From torricelli's theorem, velocity of efflux `=(2gh)`
Momentum per second carried by water stream (efflux)
`=` density `xx`volume coming out per second `xx` velocity `=rhoxxavxxv=rhoav^(2)`
Hence force on cylinderical cessel `=rhoa2gh`
Cylinder starts to move when reaction force is just equal to maximum force of friction i.e.,
`muMg=rhoa2ghimpliesa=(muM)/(2rhoh)=(0.4xx100)/(2xx10^(3)xx2)=0.01m^(2)`
Area of circular hole `=(pid^(2))/(4)=0.01m^(2)impliesd=sqrt((0.01xx4)/(pi))=0.113`m
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 1 (Elasticity)|16 Videos
  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 1 (Surface Tension)|21 Videos
  • CENTRE OF MASS

    ALLEN |Exercise EXERCISE-V B|19 Videos
  • ERROR AND MEASUREMENT

    ALLEN |Exercise Part-2(Exercise-2)(B)|22 Videos

Similar Questions

Explore conceptually related problems

A man of mass m stands at the left end of a uniform plank of length L and mass M, which lies on a frictionaless surface of ice. If the man walks to the other end of the plank, then by what distance does the plank slide on the ice?

No external force: Stationery mass relative to an inertial frame remains at rest A man of mass m is standing at one end of of a plank of mass M. The length of the plank is L and it rests on a frictionless horizontal ground. The man walks to the other end of the plank. Find displacement of the plank and man relative to the ground.

A spherical ball of mass 20 kg is stationary at the top of the hill of height 100 m . It rolls down smooth surface to ground then climb up another hill of height 40 m and finally rolls down to a horizontal base at a height of 15 m above the ground . The maximum velocity attained by a ball is ....... ( g = 9.8 m//s^(2))

A man of mass 70kg stands on a weighing scale in a lift which is moving:

A man of mass 50 kg is standing in an elevator. If elevator is moving up with an acceleration (g)/(3) then work done by normal reaction of elevator floor on man when elevator moves by a distance 12 m is (g=10 m//s^(2)) :-

A large cylinderical tank of cross-sectional area 1m^(2) is filled with water . It has a small hole at a height of 1 m from the bottom. A movable piston of mass 5 kg is fitted on the top of the tank such that it can slide in the tank freely. A load of 45 kg is applied on the top of water by piston, as shown in figure. The value of v when piston is 7 m above the bottom is (g=10m//s^(2) ) (a). sqrt(120)m//s (b). 10m//s (c). 1m//s (d). 11m//s

A man whose mass is 50 kg climbs up 20 steps of the stairs with mass of 20 kg on his head .If each step of stair is 0.25 m in height , then work done by a man will be ………

A bus of mass 1000 kg is standing stationary on bus station what is its linear momentum ?

in figure shown AB is a plane mirror of length 40cm placed at a height 40cm from ground . There is a light source S at a point on the ground ,Find the maximum and minimum height of a man(eye height)required to see the image of the source If he is standing at a point A on ground shown in figure.

A man is standing at point (x=5m, y=0) . Then be walks along staight line to (x=0 , y=5m) . A second man walks from the same initial position along the x-axis to the arigin and then along the y-axis to (x=0, y=5m) . Mark the correct statement(s) :