A doctor examines a mole with a 16.5 cm focal length magnifying glass held 14.0 cm from the mole.

(a) Where is the image? (Enter the image distance in meters. Include the sign of the value in your answer.) m

(b) What is its magnification?

(c) How big in millimeters is the image of a 4.60 mm diameter mole? mm

What is Earth's Specific Mechanical Energy in its orbit around the Sun?

Here are some properties you may or may not need to solve this question (you'll have to decide which of these will help you):

Earth's semi-major axis in its orbit around the sun, a = 149.6 x 106 km

Earth's mass is 6 x 1024 kg

Earth's Gravitational Parameter, μEarth = 3.986 x 105 km3 s-2

Sun's Gravitational Parameter, μSun = 1.327×1011 km3 s-2

Sun's mass is 2 x 1030 kg The units on your answer should be km2 s-2.

Please provide just the value and not the units in your answer.

The three spheres in the figure, with masses mA = 89 g, mB = 12 g, and mC = 17 g, have their centers on a common line, with L = 22 cm and d = 3 cm. You move sphere B along the line until its center-to-center separation from C is d = 3 cm. How much work is done on sphere B(a) by you and (b) by the net gravitational force on B due to spheres A and C?

If 17.06 mol of helium gas is at 10.1 ∘C and a gauge pressure of 0.311 atm .

Part A

Calculate the volume of the helium gas under these conditions.

Part B

Calculate the temperature if the gas is compressed to precisely half the volume at a gauge pressure of 1.26 atm .

A steel tank contains 377 g of ammonia gs (NH₃ with molar mass 17.0 g/mol) at a pressure of 1.33 x 10⁶ and a temperature of 75.0^oC. (a) What is the volume of the tank in liters? (b) Later the temperature is 60.5^oC and the pressure is 0.831 x 10⁶ Pa. How many grams of gas have leaked out of the tank? (Ignore the thermal contraction of the tank.)

A television channel is assigned the frequency range from 54 MHz to 60 MHz. A series RLC tuning circuit in a TV receiver resonates in the middle of this frequency range. The circuit uses a 13 pF capacitor.

A.) What is the value of the inductor?

Express your answer to two significant figures and include the appropriate units.

B.) In order to function properly, the current throughout the frequency range must be at least 50% of the current at the resonance frequency. What is the minimum possible value of the circuit's resistance?

Express your answer to two significant figures and include the appropriate units.

You want to conduct an experiment to understand how the power generated by a wind turbine is affected by the speed of the wind. Write your hypothesis (1point) and explain how you can conduct the experiment (assume that you’re in laboratory conditions like we preformed the Wind Turbine experiment) eg the experiment needed and the procedure of the experiment (1 point). Which parameters/conditions in the experiment should be kept under control and which parameters should be observed to test the hypothesis? (1 point)

Len is a 59 kg pole vaulter and he falls from a peak height of 5.0 meters after pole-vaulting over the crossbar set at that height. He lands on a thick mat and when he first makes contact with the mat, his centre of gravity is only 0.91 meters high. During Len's impact with the mat, it undergoes a maximum compression when his vertical velocity reaches 0 m/s and his centre of gravity is only 0.4 meters high. What is the magnitude (ignore direction) of the average force in Newtons exerted by the mat on Len during this impact?

If i bow a violin string exactly at 1/3rd of the length，what partials will be missing ？

why do we wrap the strings of a bass or cello？

The volume of some air, assumed to be an ideal gas, in the cylinder of a car engine is 540cm^3 at a pressure of 1.1 x 10^5 Pa and a Temperature of 27 Degree celsius. The air is suddenly compressed, so that no thermal energy enters or leaves the gas, to a volume of 30cm^3. The pressure rises to 6.5 x 10^6 Pa.

Determine the Temperature of the gas after compression.

Rutherford's experiments showed that positive charges in atoms is not uniformly throughout the atom. Describe his experimental set up, results and conclusions

Due to tides mean sea level off of Newport Beach reaches a height of 1.3 meters during high

tide and 0.3 meters during low tide. Successive high tides occur every 12 hours (43,200

seconds). A buoy with mass m = 40 kg is floating in the ocean off of Newport Beach.

1) Relevant concepts/equations. (5 points.)

2) Assume we begin to measure the buoy’s displacement at High tide which occurs exactly

at 12:00 am (0 seconds). Also assume we can model the buoy’s displacement as a simple

undamped oscillation. What is the Amplitude and phase angle for the buoy’s

displacement? (10 points)

3) During one half cycle of six hours (21600 seconds), the buoy’s displacement passes

through an angle of 180 degrees. From this information, what is the angular frequency

ω of the buoy? (5 points)

4) Using your previous answer, what is the force constant ‘k’ acting on the buoy? (5 points)

5) What is the maximum velocity of the buoy? What is the maximum acceleration of the

buoy? (10 points)

6) What is the energy of the buoy due to tidal displacement? (5 points)

7) How much work is done during one low tide to high tide cycle? How much Power per

hour is required to accomplish this? (Assume g = 9.81 m/s^2 compare your answer to a

65W light bulb which uses 65 watts per hour). (10 points)

what is wolf tone with respect to string instrument behavior？

the waveform of a flute is much simpler than that of an clarinet，why？

Captain Science, unmasker of fuzzy thinkers and proponent of cosmic truth, drops a 35 kg bowling ball on a stiff spring from a height of 1.0 m and finds that the spring compresses 2 cm.  If he drops the bowling ball from a height of 4.0 m, how much will the spring compress?

8 cm

1 cm

16 cm

2 cm

4 cm