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Question
a) The proton-proton chain efficiently converts hydrogen into helium according to 4H →4 He. A Helium 4 nucleus weighs 6.64638 × 10-27 kg and a Hydrogen nucleus (a proton) weighs 1.67262 × 10-27 kg. Work out the change in mass when 1 kg of Hydrogen is transformed completely into Helium 4. Convert change in mass per kg into energy created, Joules per kg of Hydrogen, using Einstein's formula. E = mc2. (For comparison burning Gasoline releases only ∼ 4.5 × 107 Joules per kg.)
b) The rate that the sun burns in Joules per second is given by the solar luminosity, 4×1026 Watts. State the burning rate in terms of kg of Hydrogen converted per second. The mass of the Sun is 2 × 1030 kg. How long can the sun burn at this speed?
A parallel-plate capacitor has circular plates of 9.27 cm radius and 1.79 mm separation. Calculate the capacitance in picofarads (pF)
A solid piece of an unknown material wights 96.9 N in air and 59.6 N when submerged in water. The density of water is 1000 kg/m3, Determine the density of the material
A system does 112 J of work on its environment and gains 72 J of heat in the process. What is the change in the internal energy of the environment
An ocean liner leaves New York City and travels 19.2 ° north of east for 186km. How far east and how far north has it gone? In other words, what are magnitudes of the components of the ship's displacement vector in the directions (1) due east and ..
You drive your 1,345-kg car at a constant speed of 23 mph a distance of 71 m down a ramp that has a grade of 14 %. Define positive direction in the forward direction
An electron experiences a magnetic force of magnitude 4.20 10-15 N when moving at an angle of 45.0° with respect to a magnetic field of magnitude 3.90 10-3 T. Find the speed of the electron
An aluminum cup contains 225 g of water and a 40-g copper stirrer, all at 27°C. A 440-g sample of silver at an initial temperature of 85°C is placed in the water. Calculate the mass of the aluminum cup
charge Q is placed at a vertex of a cube with side length, what is the electric flux through each face of the cube
the cube of insulating material has the one corner at the origen . each side of the cube has length 0.250m so the top face of the cube is parallel to the xz-plane and is at y=.250m, calculated the net charge enclosed by the cube
A solenoid inductor has an emf of 0.90V when the current through it changes at the rate 10.0 A/s. How many turns does the inductor have
A 30.0-g goldfinch lands on a slender branch, where it oscillates up and down with simple harmonic motion of amplitude 3.50*10^-2m and period 1.50s. What is the maximum acceleration of the finch
a monochromatic beam of light of wavelength 600nm is incident on a diffraction grating with a slit spacing of 1.7*10^-4cm
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