Physics Problem The character Wolverine has had his bones replaced with a high-d
ID: 1331245 • Letter: P
Question
Physics Problem
The character Wolverine has had his bones replaced with a high-density, high-strength metal alloy called Adamantium, which has the following properties:
A density of 7.90 g/cm3
A specific heat of 0.470 J/g K, and
A coefficient of linear expansion of 13.5 x 10-6/C°.
During a certain fight, Wolverine's core body temperature increases from 38.0 C to 40.0 C. Now let's model his left femur bones (thigh) as a cylinder with a radius of 1.25 cm and a length of 51.0 cm.
(Note: Double check your units on the questions that follow.)
What is the mass of his left humerus bone?
m = grams
Most people's bones are not perfectly symmetric. The mass of his right femur is 1920 grams. How much energy did the right bone have to absorb in order for its temperature to have increased by the given amount?
Q = J
By how much does the length of his bone increase?
L = cm
Explanation / Answer
here,
density , d = 7.9 g/cm^3
specific heat , S = 0.47 j/g K
coeffiecient of linear expansion , alpha = 13.5 *10^-6 /C
volume of the bones , V = pi *r^2 *l
V = pi * 1.25^2*51
V = 250.22 cm^3
mass of his left humerous bones , m = density *volume
m = 7.9 * 250.22
m = 1976.73 g
mass of right bone , mr = 1920 g
energy absorbed the bone , Q = m * delta T * S
Q = 1920 * (40 -38) *0.47
Q = 1804.8 J
the increase in length of bone ,delta L = alpha * delta T * L
delta L = 13.5 *10^-6 *(40 -38) *51
delta L = 1.38 * 10^-3cm