In a total-immersion measurement of a Santa’s density, he is found to have a mass of 122 kg in air and an apparent mass of 0.1875 kg when completely submerged with lungs almost totally empty.

What mass, in kilograms, of water does Santa displace?

What is Santa’s volume, in cubic meters?

Calculate Santa’s average density, in kilograms per cubic meter

If Santa’s lung capacity is 2.75 L, is he able to float without treading water with his lungs filled with air? Assume the density of air is 1.29 kg/m3

An inductor (0.2 Henry) and a resistor (2ohms) are connected in series with a battery of EMF 5.0 volts.

a) Draw the circuit (don't forget the switch)

b) At time t=0 and time= infinity find the current that passes through the battery

c) What's the time constant for the circuit?

d) What's the back EMF provided by the inductor at t= 1.0 sec?

e) What's instantaneous energy saved in the inductor at time t= 1.0 sec?

f) What is the total magnetic flux that is coupled with the inductor at t= 1.0 sec?

A particle of mass m = 1 oscillates without friction attached to a spring with k = 4. The motion of the particle is driven by the external force F(t) = 3 t cos(t). Find the equation of motion and solve it. Discuss the physical meaning of the solution.

Newton's law of gravity was inconsistent with Einstein's special relativity because

Question 27 options:

The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 510 paces, then due east for 130 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle 60? east of north. After walking 360 paces you see an opening through the woods. (Figure 1)

Part A

Which direction should you go to reach the treasure?

Part B

How far should you go to reach the treasure?

An engineer has three different capacitors of unknown capacitance. She labels them C1, C2, and C3. First, she connects C1 to a battery, and the charge on C1 is q1 = 30.4 µC. Then, she disconnects and discharges C1, and connects it in series with C2. When she connects this series combination of C2 and C1 across the battery, the charge on C1 is q2 = 23.3 µC. The engineer disconnects the circuit and discharges both capacitors. Next, she connects C3, C1, and the battery in series, which results in a charge on C1 of q3 = 26.8 µC. If, after being disconnected and discharged, she connects C1, C2, and C3 in series with the battery, what is the charge on C1 (in µC)?

The question is: How is grain boundary surface tension measured?

While answering, please explain 'why's and 'how's.

And give me some journals, books, and other reliable source recommendation for further information.

For an electrical power plant of your choice:

(a) How would the thermal efficiency change if T-Low were decreased by one degree while keeping T-High constant? Assume Carnot cycle.

(b) How would the change in the thermal efficiency (resulting from the lower T-Low) affect W-net? Assume a thermal efficiency of 32.5 % and a capacity factor of 100 %, and give your answer in kWh per year.

(c) What would the difference in revenue (in $) be per year? Take 12.5 cent/kWh.

a 2d collision

Perform a linear fit, of the form x = A*t + B, to each graph and determine the initial velocity v1 and the final velocities v′1x, v′1y, v′2x, and v′2y. How do I find the v′1y

if: time (sec)= 0.400, 0.460, 0.500, 0.530, 0.560, 0.600, 0.630, 0.670, 0.700, 0.730, 0.700,0.800, 0.830, 0.867, 0.900

position (m) in y dxn= 85, 100, 120, 140, 160, 180, 190, 210, 230, 240, 260, 270, 290, 300, 320

position (m) in x dxn= 800, 850, 920, 980, 1000, 1080, 1140, 1190, 1230, 1280, 1300, 1400, 1440, 1490, 1500

Derive the Kramers-Kronig relation for a damped harmonic oscillator. The parameters can be chosen randomly.

At a county fair, two children ram each other head on while riding on the bumper car attraction. Jill and her car, traveling left at 3.50 m/s, have a total mass of 325 kg. Jack and his car, traveling to the right at 2.00 m/s, have a total mass of 290 kg. Assuming the collision to be elastic, determine their velocities after the collision.

Alpha performed a stepping exercise for 23 minutes onto a 16 inch box at a cadence of 108 bpm. Alpha weighs 225 lbs. Alpha's average Net VO2 was 3.17 LO2/min and his average VCO2 was 2.77 LCO2/min. Calculate Alpha's net mechanical efficiency during this bout of exercise. Round your answer to the first decimal place.

An object with a charge of -3.2 μC and a mass of 4.5×10−2 kg experiences an upward electric force, due to a uniform electric field, equal in magnitude to its weight.

Find the magnitude of the electric field. Express your answer using two significant figures.

Find the direction of the electric field.

If the electric charge on the object is doubled while its mass remains the same, find the direction and magnitude of its acceleration. Express your answer using three significant figures.

If the electric charge on the object is doubled while its mass remains the same, find the direction and magnitude of its acceleration.