Considering Surface Tension
Suppose that a person with mass 75 kg wants to design two “shoes”, each consisting of a long wire bent in a circle, to walk on water using surface tension. Calculate the diameter of each shoe.
This question is based on the concept of
1. Surface tension of water
2. Relation between surface tension and Force
3. Mathematical simplification
The detailed solution is described below

THANKS
Considering Surface Tension Suppose that a person with mass 75 kg wants to design two “shoes”,...
3. Surface tension of a water strider For an animal the size of a human, surface tension seems to be a rather small and insignificant force (though it plays an important if unnoticed role in our breathing). But as animals get smaller, surface tension gets increasingly significant. (The weight of the animal goes down with the cube of the size while the surface tension only decreases linearly.) For animals like the basilisk lizard and the jacana (bird), they appear to...
3. Surface tension of a water strider For an animal the size of a human, surface tension seems to be a rather small and insignificant force (though it plays an important if unnoticed role in our breathing). But as animals get smaller, surface tension gets increasingly significant. (The weight of the animal goes down with the cube of the size while the surface tension only decreases linearly.) For animals like the basilisk lizard and the jacana (bird), they appear to...
3. Surface tension of a water strider For an animal the size of a human, surface tension seems to be a rather small and insignificant force (though it plays an important if unnoticed role in our breathing). But as animals get smaller, surface tension gets increasingly significant. (The weight of the animal goes down with the cube of the size while the surface tension only decreases linearly.) For animals like the basilisk lizard and the jacana (bird), they appear to...
A person with a mass of 75 kg and a volume of 0.096 mº floats quietly in water. Part A What is the volume of the person that is above water? Express your answer using two significant figures. I AL * O O ? Vabove = Submit Request Answer Part B If an upward force F is applied to the person by a friend, the volume of the person above water increases by 0.0020 m. Find the force F. Express...
1.
2.
A person wearing the shoes has a mass of 54 kg .
3.
A spherical balloon has a radius of 6.75 m and is filled with
helium. The density of helium is0.179 kg/m3, and the density of air
is1.29 kg/m3. The skin and structure of the balloon has a mass of
980 kg . Neglect the buoyant force on the cargo volume itself.
Part A Estimate the pressure needed to raise a column of water to the same...
Question 3. A-C
3. Surface tension of a water strider For an animal the size of a human, surface tension seems to be a rather small and insignificant force (though it plays an important if unnoticed role in our breathing). But as animals get smaller, surface tension gets increasingly significant. (The weight of the animal goes down with the cube of the size while the surface tension only decreases linearly.) For animals like the basilisk lizard and the jacana (bird),...
#2
1. A block of wood has a mass of 25 kg and a density of 650 kg/m'. You are holding it under water by pushing downward. a) What is the volume of the block of wood? b) What is the buoyant force on it? c) What is the magnitude of the downward force you are exerting to hold the block under water? 2. In the diagram, the hinge is frictionless and the system is in equilibrium. The uniform beam...
A common amusement park ride is the swing carousel. A person of mass 70 kg sits in a chair attached by a 6-m-long chain to a rotating rig with a 5-m radius. Consider the circular motion of the person at an instant when the chain makes a 60° angle from the vertical. 6 m 60° 75 m 70 kg a) Calculate the tension in the chain. [1] b) Calculate the centripetal acceleration of the person. [1] c) Calculate the speed...
A person of mass 70-kg stands at the center of a rotating merry - go- round platform of radius 3.1 meter and the moment of inertia 900kg*m^2. The platform rotates without friction with angular velocity 0.85 rad/s. The person walk radially to the edge of the platform. Part A Calculate the angular velocity when the person reaches the edge. Express your answer using three significant figures and include the appropriate units. Part B Calculate the rotational kinetic energy of the...
5. Ilan, of mass 75 kg, stands at the center of a rotating merry-go-round platform of radius 3.0 m and moment of inertia 820 kg · m². The platform rotates without friction with angular velocity 0.95 rad/s. He walks radially to the edge of the platform. (a) Calculate the angular velocity when Ilan reaches the edge. (b) Calculate the rotational kinetic energy of the system of platform plus person before and after the he makes his walk. (c) While Ilan...