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HW questions please help. I will Rate is all correct answsers!! Thank you!! 2. S

ID: 1788365 • Letter: H

Question

HW questions please help. I will Rate is all correct answsers!! Thank you!!

2. Suppose you have a coffee mug with a circular cross section and vertical sides (uniform radius). What is its inside radius if it holds 310 g of coffee when filled to a depth of 8.00 cm? Assume coffee has the same density as water. _____cm

3. As a woman walks, her entire weight is momentarily placed on one heel of her high-heeled shoes. Calculate the pressure exerted on the floor by the heel if it has an area of 1.55 cm2 and the woman's mass is 53.0 kg. Express the force in N/m2 and lb/in2. (In the early days of commercial flight, women were not allowed to wear high-heeled shoes because aircraft floors were too thin to resist such large pressures.)
_____N/m2
______ lb/in2

7. What force must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2100 kg car (a big car) resting on the slave cylinder? The master cylinder has a 2.50 cm diameter, while the slave's is 24.0 cm.
____N

9. Pressure cookers have been around for more than 300 years, although the early ones had a nasty habit of exploding. How much force must the latches holding the lid onto a pressure cooker be able to withstand if the circular lid is 26.0 cm in diameter and the gauge pressure inside is 2.60 atm? Neglect the weight of the lid.
____ N

10. Assuming bicycle tires are perfectly flexible and support the weight of bicycle and rider by pressure alone, calculate the total area of the tires in contact with the ground. The bicycle plus rider has a mass of 63.0 kg, and the gauge pressure in the tires is 3.75 105 Pa.
____ cm2

7. (a) Calculate the buoyant force on a 2.60 L helium balloon.
.0329 N (upward)   CORRECT… PART A NOT B
(b) Given the mass of the rubber in the balloon is 1.90 g, what is the net vertical force on the balloon if it is let go? You can neglect the volume of the rubber.
_____ N (upward)

Explanation / Answer

2) we know, density of water, rho = 1000 kg/m^3 or 1 g/cm^3

volume of the mug, V = mass/density

= 310/1

= 310 cm^3

given h = 8 cm.

let r is the inside radius of the mug.

we know, V = pi*r^2*h

==> r^2 = V/(pi*h)

r = sqrt(V/(pi*h))

= sqrt(310/(pi*8)

= 3.51 cm <<<<<<<<<<<<---------------------Answer