Homework Statement
When an immersion glass thermometer is used to measure the temperature of a liquid, the temperature reading will be affected by an error due to heat transfer between the liquid and the thermometer. Suppose you want to measure the temperature of 10 mL of water in a Pyrex...
Homework Statement
A mercury thermometer contains 7.5 mL of mercury. If the tube of the thermometer has a cross-sectional area of 1.2 mm2, what should the spacing between the °C marks be? (The volume expansion coefficient for mercury is 1.81 x 10-4 °C−1.)
Homework Equations
ΔV=βV0ΔT...
Homework Statement
On a hot summer day, a cubical swimming pool is filled to within 1.2 cm of the top with water at 24 °C. When the water warms to 34 °C, the pool overflows. What is the depth of the pool? (The volume expansion coefficient for water is 2.07 10-4 °C−1.)
Homework Equations...
Homework Statement
We need to solve the double integral:
6 -2/3x+4
∫ ∫ [12-2x-(3y/4)] dy dx
0 0
Homework Equations
(a+b)2 = a2 + 2ab + b2
The Attempt at a Solution
I've got to:
6
(1/4) ∫ [12y-2xy-(3y2/2)] evaluated at -2/3x + 4 and 0.
0
6...
Homework Statement
A satellite is placed between the Earth and the Moon, along a straight line that connects their centers of mass. The satellite has an orbital period around the Earth that is the same as that of the Moon, 27.3 days. How far away from the Earth should this satellite be placed...
Homework Statement
1 1/2
∫ ∫ e-x2 dx dy
0 y/2
Homework Equations
***Graph equation***
The Attempt at a Solution
I graphed the function and they made a horizontal strip. However, I can't seem to find the right function with a vertical strip, which is where I'm stuck.
Homework Statement
How deep would a mine shaft have to be for the gravitational acceleration at the bottom to be reduced by a factor of 5 from its value on the Earth's surface?
Homework Equations
g=r(GME/RE3)
G = 6.67 * 10-11
ME = 5.97 * 1024 kg
RE = 6.38 * 106 m
The Attempt at a...
Homework Statement
Standing on the surface of a small spherical moon whose radius is 6.00*104 m and whose mass is 7.50*1018 kg, an astronaut throws a rock of mass 2.05 kg straight upward with an initial speed 38.5 m/s. (This moon is too small to have an atmosphere.) What maximum height above...
Homework Statement
A racquetball with a diameter of 5.6 cm and a mass of 42 g is cut in half to make a boat for American pennies made after 1982. The mass and volume of an American penny made after 1982 are 2.5 g and 0.36 cm3. How many pennies can be placed in the racquetball boat without...