Given the following information: Red giants derive their energy not from nuclear fusion of hydrogen, but by fusion of helium. Specifically, a reaction where 3 helium nuclei fuse into 1 carbon nucleus.

The mass of a helium nucleus is 6.645x10-27 kg, and the mass of a carbon nucleus is 1.9922x10-26 kg
The mass-energy relation is famously: E = mc2

1) This is the mass that is converted into energy, and we can figure out how much energy that is by using Einstein's famous equation:

E = mc2
c = 3 x 108 m/s
Plug the mass difference (∆m) into the equation above, and find the energy released in units of Joules (1 J = 1 kg*m2/s2).

Submit your answer as the coefficient (Y) of the below scientific notation expression:

Y x 10-12 Joules per one fusion reaction

Search coils and credit cards. one practical way to measure magnetic field strength uses a small, closely wound coil called a search coil. the coil is initially held with its plane perpendicular to a magnetic field. the coil is then either quickly rotated a quarter-turn about a diameter or quickly pulled out of the field. (a) derive the equation relating the total charge q that flows through a search coil to the magnetic-field magnitude b. the search coil has n turns, each with area a, and the flux through the coil is decreased from its initial maximum value to zero in a time ∆t. the resistance of the coil is r, and the total charge is q = i∆t, where i is the average current induced by the change in flux. (b) in a credit card reader, the magnetic strip on the back of a credit card is rapidly “swiped” past a coil within the reader. explain, using the same ideas that underlie the operation of a search coil, how the reader can decode the information stored in the pattern of magnetization on the strip. (c) is it necessary that the credit card be “swiped” through the reader at exactly the right speed? why or why not?

Atelevision set that has been running for a while heats up even the air around it. which two laws of thermodynamics could be used to analyze this scenario

Ben (55kg) is standing on very slippery ice when junior (25kg) bumps into him. junior was moving at a speed of 8 m/s before the collision and ben and junior embrace after the collision. find the speed of ben and junior as they move across the ice after the collision. give the answer in m/s. describe the work you did to get the answer.