The mass of the shell of a bird egg (Mshell) scales with the overall mass of the egg (Megg) according to the following relationship: Mshell∝M^(1.132)egg. In this question, you will determine the scaling relationship between the surface area of the egg shell and the mass of the egg. Assuming a constant density, the size of an object scales as its mass raised to what power? The surface area of an object scales as its size raised to what power? The surface area of an egg shell scales as the mass of the egg shell raised to what power? Hint: Use your answers to Parts A and B to determine this scaling relationship. The surface area of an egg shell scales as the mass of the egg raised to what power? Report your answer using two significant figures.
We have, Density = Mass/Volume
So, Mass = Density*Volume
Thus, constant density, Mass Volume
But, volume (size)^3,
So, mass (size)^3
Or, size (mass)^1/3
surface area (size)^2
So, surface area of egg shell (mass)^2/3 of
egg shell
and Mshell
M^(1.132)egg
surface area of egg shell (mass ) ^
((1.32*2)/3) of egg
Hence, at constant density, the surface area of egg shell is 0.88 raised to the power mass of egg
The mass of the shell of a bird egg (Mshell) scales with the overall mass of...
The mass of the shell of a bird egg (Mshell) scales with the overall mass of the egg (Megg) according to the following relationship: Mshell∝M^(1.132)egg. In this question, you will determine the scaling relationship between the surface area of the egg shell and the mass of the egg. Assuming a constant density, the size of an object scales as its mass raised to what power? The surface area of an object scales as its size raised to what power? The...
The mass of the shell of a bird egg (Mshell) scales with the overall mass of the egg (Megg) according to the following relationship: Mshell∝M1.132egg. In this question, you will determine the scaling relationship between the surface area of the egg shell and the mass of the egg. Assuming a constant density, the size of an object scales as its mass raised to what power? The surface area of an object scales as its size raised to what power? The...
The mass of the shell of a bird egg (Mshell) scales with the overall mass of the egg (Megg) according to the following relationship: Mshell∝M^(1.132)egg = M to 1.132 power. In this question, you will determine the scaling relationship between the surface area of the egg shell and the mass of the egg. Assuming a constant density, the size of an object scales as its mass raised to what power?
For mammals, heartbeat frequency (number of heartbeats per minute, fh) scales with body mass (Mbody) raised to the power of -0.25: fh∝M−0.25body. The blue whale ( Balaenoptera musculus) is the largest mammal and it has a mass of 136,000 kg. The smallest mammal is Kitti's hog-nosed bat (Craseonycteris thonglongyai) with a mass of only 2 g. Assuming both animals obey the above scaling relationship, what is the ratio of the heartbeat frequencies of Kitti's hog-nosed bat to the blue whale?...
For mammals, brain mass scales as body mass to the power of 0.70: Mbrain∝M^(0.70)body. Mammal A has twice the body mass of mammal B. What is the ratio of mammal A's brain mass to mammal B's? Report your answer using two significant figures.
A hollow copper (ρCu = 8.960 ✕ 103 kg/m3) spherical shell of
mass m = 0.9860 kg floats in water with its entire volume below the
surface. (Assume the temperature of the water is 4°C. Enter your
answers to at least four significant figures.)
4 5 points KatzPSEf1 15 P025.MI. My Notes Ask Your Teacher A hollow copper (Cu-8.960 x 103 kg/m3) spherical shell of mass m = 0.9860 kg floats in water with its entire volume below the surface....
A hollow titanium (ρTi = 4.540 ✕ 103 kg/m3) spherical shell of mass m = 0.9040 kg floats in water with its entire volume below the surface. (Assume the temperature of the water is 4°C. Enter your answers to at least four significant figures.) (a) What is the radius of the sphere? mm (b) What is the thickness of the shell wall?
A hollow silver (ρAg = 1.050 ✕ 104 kg/m3) spherical shell of mass m = 0.9360 kg floats in water with its entire volume below the surface. (Assume the temperature of the water is 4°C. Enter your answers to at least four significant figures.) (a) What is the radius of the sphere? mm (b) What is the thickness of the shell wall? mm
A hollow nickel (pNi = 8.902 × 103 kg/m3) spherical shell of mass m-0.9700 kg floats in water with its entire volume below the surface. (Assume the temperature of the water is 4C. Enter your answers to at least four significant figures.) (a) What is the radius of the sphere? (b) What is the thickness of the shell wall?
A hollow silver (ρAg = 1.050 ✕ 104 kg/m3) spherical shell of mass m = 0.9540 kg floats in water with its entire volume below the surface. (Assume the temperature of the water is 4°C. Enter your answers to at least four significant figures.) (a) What is the radius of the sphere? I got 61.1 mm which is correct. (b) What is the thickness of the shell wall?- this is the one I keep getting wrong