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Just as the surface area-to-volume ratio depends on size, so can other properties. To see how, suppose that your size suddenly doubled; that is, your height, width, and depth all doubled. (For example, if you were 5 feet tall before, you now are 10 feet tall.)
A) By what factor has your waist size increased?
B) How much more material will be required for your clothes? (Hint: Clothes cover the surface area of your body.)
C) By what factor has your weight increased? (Hint: Weight depends on the volume of your body.)
D) The pressure on your weight-bearing joints depends on how much weight is supported by the surface area of each joint. How has this pressure changed?
Assume all temperatures to be exact. Ice (initially at 0 ) is added to 0.50L of tea at 18C to make the coldest possible iced tea. If enough ice is added so the final mixture is all liquid, how much liquid is in the pitcher when this condition occurs?
A person is nearsighted and can clearly focus on objects that are no farther than 2.6 m away from her eyes. What is the focal length of the borrowed glasses
Suppose a pion is moving at a speed of 0.986c, and an observer who is stationary in a laboratory measures the pion's lifetime to be2.7 × 10-8 s. What is the lifetime according to a hypothetical person who is riding along with the pion
At a certain instant a particle (mass=0.5 kg) is moving in the +x direction with velocity 14 m/s. What is the magnitude of the momentum of the particle (in kg*m/s) at the end of this 0.15 second interval
The maximum charge on the capacitor in an oscillating LC circuit is Q0. What is the capacitor charge, in terms of Q0, when the energy in the capacitor's electric field equals the energy in the inductor's magnetic field? Give your answer in terms of Q..
An explosion of a 10.0-kg bomb releases only two separate pieces the bomb was initially at rest and a 4.00-kg piece travels westward at 100 m/s immediately after the explosion
A metal bar, pivoted at one end, oscillates freely in the absence of a magnetic field. But, when it oscillates between the poles of a magnet, its oscillations are quickly damped. Why? (Such magnetic damping is used in a number of practical devices..
A 10.48-m ladder with a mass of 24.4 kg lies flat on the ground. A painter grabs the top end of the ladder and pulls straight upward with a force of 270N. What is the net torque acting on the ladder
A certain automobile engine delivers 2.39 104 W (32.0 hp) to its wheels when moving at a constant speed of 25.0 m/s ( 56 mi/h). What is the resistive force acting on the automobile
Block 1, of mass m1 = 0.700kg , is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2, Find the mass of block 2
If a hot air balloon floats at a constant elevation (it has reached equilibrium) where the local atmospheric pressure is 98 kPa (abs) and outside air temperature is 285 K, and the hot air inside the balloon is at 400 K
A rigid tank contains 1.40 moles of an ideal gas. Determine the number of moles of gas that must be withdrawn from the tank to lower the pressure of the gas from 27.2 atm to 5.90 atm
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