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1.Consider a bird that flies at an average speed of 10.7 m/s and releases energy from its body fat reserves at an average rate of 3.70 W (this rate represents the power consumption of the bird). Assume that the bird consumes 4.00g of fat to fly over a distance db without stopping for feeding. How far will the bird fly before feeding again?
Fat is a good form of energy storage because it provides the most energy per unit mass: 1.00 grams of fat provides about 9.40 (food) Calories, compared to 4.20 (food) Calories per 1.00 grams of carbohydrate. Remember that Calories associated with food, which are always capitalized, are not exactly the same as calories used in physics or chemistry, even though they have the same name. More specifically, one food Calorie is equal to 1000 calories of mechanical work or 4186 joules. Therefore, in this problem use the conversion factor 1Cal=4186J.
2.Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of birth. The only known force a planet exerts on earth is gravitational.
(a) Calculate the gravitational force exerted on a 4.00 kg baby by a 90 kg father 0.150 m away at birth (assisting so he is close).
(b) Calculate the force on the baby due to Jupiter if it is at its closest to the earth, some 6.29 * (10 to the power 11) m away, showing it to be comparable to that of the father. The mass of Jupiter is about 1.90 * (10 to the power 27) kg. Other objects in the room and the hospital building also exert similar gravitational forces. (Of course, there could be an unknown force acting, but scientists first need to be convinced that there is even an effect, much less that an unknown force causes it.)
3.A diver, who can be considered as a particle of mass 55.64 kg, jumps upwards off the diving board with an initial speed of 6.17 m s-1, and travels in a vertical line before entering the water 9 metres below the diving board. Air resistance can be ignored.
Calculate the speed, in m s-1, of the diver just before entering the water. Give your answer to 3 decimal places. Assume g = 9.81 ms-2.
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4.A muon whose mass is 1.884 * 10 to the power -28 kg is accelerated by a voltage of 2300 V. The muon enters a region of uniform magnetic field perpendicular to its velocity. (The charge of the muon is -e.)
(a) What is the magnitude of the magnetic field if the muon’s trajectory forms a 1.5 cm radius circle?
(b) What is its period of revolution?
5.Frosty the Snowman was a jolly happy soul of mass 90 kg.If his initial temperature was -13°C, how much heat did he absorb till he was at 16°C?
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