30 Jul physics assignment
A kangaroo is capable of jumping 2.62 m high. To do this the kangaroo jumps up with an initial velocity of 7.17 m s -1 and accelerates under gravity (9.81 m s-2). How long does it take the kangaroo to reach this height?
Find the force exerted by the biceps muscle in holding a bag of sweets (weight 17.3 N) with the forearm parallel to the floor. Assume the hand is 36.2 cm from the elbow, with the elbow at a right angle, and the biceps are attached to the forearm at a position of 5 cm from the elbow. The weight of the forearm and empty hand is 18.5 N and the center of gravity on the forearm is at a distance of 17.1 cm from the elbow.
Air within the funnel of a large tornado may have a pressure of only 0.48 atm. What is the approximate outward force F on a 11 m × 24 m wall if a tornado suddenly envelopes the house? Atmospheric pressure is 1.013 × 105 Pa.
Homework 2
If the density of blood is 1050 kg m-3, and the height from the heart to the ankle is 1.2 m, calculate the increase in pressure at the toes relative to the heart.
An intravenous bag has a volume of, say, 500 cm3. Assume it empties through a 20-gauge needle (diameter of about 0.6 mm) with a length of 2 inches and we want it to empty in 30 minutes. How high must the bag be hung? Assume the viscosity of water (0.001 Pa s), the density of water is 1000 kg m -3, and the pressure in the vein can be assumed to be 20 mmHg (or 2666 Pa).
What is the kinetic energy of a 75 kg man running at 5 m s-1?
Of the earth as it orbits the sun? Its mass is 6×1024 kg and the average distance from the Earth to the Sun is 149,597,890 km.
Of a 145 g baseball traveling 40 m s-1?
Of a bacterium with a mass of 9.5×10-13 g and a velocity of 56 micrometers per second.
A 1990 Ford mustang can reach 60 mph (26.8 m/s) in 6.4 s and has a mass of 1224.7 kg. What is the power of this car?
Homework 3
Thermal conductivity of glass is 1.05 W/m K. If you have a window whose area is 1 m 2 and whose thickness is 2 mm, what is the heat escaping from your house each minute if the inside temperature is 22 oC and the outside is 0 oC?
A man has vocal cords of length 22 mm, with a mass per length of 0.0042 kg/m. What tension is required in the vocal cords in order to produce middle C (261.62 Hz)?
A potassium ion with a single electron missing feels a force near a cell membrane of 1×10 -5 N. What is the electric field experienced by the ion?
Cell membranes are typically 7.5 nm thick, while the average cell in the human body is 10 micrometers in diameter. The dielectric constant of the cell membrane is 10.
a) What is the capacitance associated with an average cell of this size? b) In the normal resting state, a cell has a potential difference of 85 mV across its membrane. How much charge is on the cell membrane?
Homework 4
You turn on a flashlight, creating a circuit of current through both the battery and the bulb. If the flashlight has a single 1.5 V battery and the resistance of the bulb is 1 ohm then what is the current in the circuit?
The membrane that surrounds a certain type of living cell has a surface area of 6×10 -9 m2 and a thickness of 1×10-8 m. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant of 5. a) If the potential on the outer surface of the membrane is +70.0 mV greater than that on the inside surface, how much charge resides on the outer surface? b) If the charge in part (a) is due to K+ ions (charge of an electron), how many such ions are present on the outer surface?
Mr Magoo is extremely near sighted and can only see objects 15 cm from his eye. What is the focal length of the glasses he will require?
How many rems of radiation would you have to be exposed to in order for your excess chance of developing cancer to equal your chance of developing cancer without exposure to radiation?
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