The rebels are fighting the imperials on the icy planet Hoth. Han Solo didn’t dress for the weather (this ain’t Tattooine bud!), and is frozen solid (1234 kg of ice, at -123˚C ). Fortunately for Han, an AT-AT walker shoots its blasters and misses its target but hits Han which vaporizes the ice and brings him to a piping 102˚C. How much heat was added to Han Solo to turn him from a frozen chunk into a ‘Luke-warm’ rebel?

The sun generates energy through nuclear fusion, which converts mass intoenergy. If the sun radiates 3.8 × 1026 W of power, calculate the rate at which the sun loses mass (i.e., kg/s). _________×109kg/s ?   Compare the energy produced per kg of fuel for the combustion of coal, d-d fusion and d-t fusion.d-d:  __________ ×107 MJ/kg?d-t:  ___________×108 MJ/kg  ?     The age of the sun has been estimated at 4.6 billion years. If it has radiatedenergy at the same rate throughout its lifetime, 3.8×1026 W and if its current mass is1.989×1030 kg, what fraction of its original mass has been lost _____________% ?

The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. In a reference frame in which the muons are stationary, if the number of muons at t = 0 is N0, the number at time t is given by , where τ is the mean lifetime, equal to 2.2 ms. Suppose the muons move at a speed of 0.95 c and there are 5.0 × 104 muons at t = 0. (a) What is the observed lifetime of the muons? (b) How many muons remain after traveling a distance of 3.0 km?

I am currently working through a physics book (Spacetime Physics by Edwin Taylor) and I have come across this question and I don't know how to solve it: "Take the differential of this equation for g to obtain an approximate algebraic expression for Δg, the change in g, for a small change Δr in height." How do I sovle this question?

Playing a high-stakes game of basketball with a series of cartoon characters. The court has a total length of 28 meters measured in its own rest frame. The Street Sprinter, an animated lion on your team, can run at a maximum speed of ½ c.   As measured in the rest frame of the court, a player on the opposing side throws a ball at ¼c from half court. At the same time, the Street Sprinter starts running at full speed from the full length of the court away. Call this time t=0. Draw a Space-Time diagram from the rest frame of the court with the Street Sprinter's initial position as the origin. Mark the following events on it, and find their spacetime coordinates (t,x) in the frame of the court and (t',x') in the frame of the Street Sprinter:  A: The ball is thrown from half-court. B: The Street Sprinter takes off from the other side of the court C: The ball reaches the net D: The Street Sprinter reaches the net e) From the perspective of the referee in the court rest frame, does the ball…

Professor Einstein is standing on a space station and observes two spaceships approaching him fromopposite directions at speeds of 0.8c and 0.7c. What is the speed of one spaceship moving withrespect to the other?

Astrophysics 14 Use Newton's second law, F = dp/dt, and the formula for relativistic momentum, Eq. ( 44), to show that the acceleration vector a = dv/dt produced by a force F acting on a particle of mass m is F (F. v), ymc² Ym where F· v is the vector dot product between the force F and the particle velocity v. Thus the acceleration depends on the particle's velocity and is not in general in the same direction as the force. mv p = /1 – v²/c² = ymv (44) VI -

A probe of mass 100 kg is coasting through a dense gas cloud in deep space, where g = 0.  There is drag from the gas cloud and it is modeled by the equation -0.38 v (N).  If the probe entered the gas cloud with speed 1,047 m/s, how much time, in s, will it take for the probe's speed to be reduced to 14 percent of its initial velocity? (Please answer to the fourth decimal place)