y = h(xlby" Figure P8.7 х Figure P8.1

7. [Essay] (1) The coefficient of soap liquid is a. For a soap bubble of radius R, what is the pressure difference between the inside and outside of the soap bubble? (2) To explain the direction and magnitude of additional pressure of a curved surface of liquid.

A bucket of water rotates with angular velocity ω. After some time a stationary state is created so that the water rotates at the same speed as the bucket, and the water is higher towards the outside. What is the angle of the water surface at distance r from the vertical axis through the center? Explain the solution.

Determine the approximate percent increase in waist size that occurs when a 155-lb person gains 40.0 lb of fat. Assume that the volume of the person can be modeled by a cylinder that is 4.0 ft tall. The average density of a human is about 1.0 g/cm^3, and the density of fat is 0.918 g/cm^3.

Been having trouble with this one

QUESTION 1 The linear mass density (A) of a rod of length L is given by A = a+ Bx2 where a and B are constants and x is the distance from one end. What is the total mass of this rod? a + BL2 aL + (BL³)/ 3 (a+ Bx2)L O al + (BL2)/ 2

A child playing in a swimming pool realizes that it is easy to push a small inflated ball under the surface of the water whereas a large ball requires a lot of force. The child happens to have a styrofoam ball (the shape of the ball will not distort when it is forced under the surface), which he forces under the surface of the water. If the child needs to supply 527 N to totally submerge the ball, calculate the diameter d of the ball. The density of water is Pw 1.000 x 103 kg/m³, the density of styrofoam is Pfoam 95.0 kg/m³, and the acceleration due to gravity is g 9.81 m/s². 2.74 d Incorrect

7) A particular gasoline tank can hold 51 kg of gasoline when full. What is the depth, in meters, of the tank if it is a rectangular box 0.45-m wide by 0.75-m long? The density of gasoline is typically 0.680 × 103 kg/m3.

Two circular platforms are attached to a fluid reservoir.  On one platform rests the entire cast of Glee frozen in carbonite.   A force of 7.0 N is applied downward to the empty platform with radius 8.0 m.  The other platform applies a force of 7.2 N to the carbonite-frozen pop-idols.   What is the radius of the platform holding the Glee cast?

(5) Logs sometimes float vertically in a lake because one end has become water-logged and denser than the other. What is the average density (in kg/m3 ) of a uniform-diameter log that floats with 30.0% of its length above water?