Chapter 8, Problem 8.41P

(a) What is the momentum of a 2000 kg satellite orbiting at 4.00 km/s?          (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that γ = 1 + (1 / 2)v2 / c2 at low velocities.)

Quite apart from effects due to Earth’s rotational and orbital motions, a laboratory reference frame is not strictly an inertial frame because a particle at rest there will not, in general, remain at rest; it will fall. Often, however, events happen so quickly that we can ignore the gravitational acceleration and treat the frame as inertial. Consider, for example, an electron of speed v =0.992c, projected horizontally into a laboratory test chamber and moving through a distance of 20 cm. (a) How long would that take, and (b) how far would the electron fall during this interval? (c) What can you conclude about the suitability of the laboratory as an inertial frame in this case?

A rocket cruises past a laboratory at 0.400×106m/s in the positive x-direction just as a proton is launched with velocity (in the laboratory frame)v⃗ =(1.55×106i^+1.55×106j^)m/s. a. What is the proton's speed in the laboratory frame? b. What is the angle from the y-axis of the proton's speed in the laboratory frame? c. What is the the proton's speed in the rocket frame? d. What is the angle from the y-axis of the proton's speed in the rocket frame?

Suppose a lump of ionized matter orbits a black hole with a period of 3.50 ms and an orbital radius of 140 km. What is the mass of the black hole? The mass of the sun is Ms = 1.99 x10^30 kg. (Give your answer in terms of the solar mass.) A projectile is launched directly upward from the surface of the Earth with an initial speed of 7.1 km/s. Assuming air resistance is negligible, what is the maximum height of the projectile (in m)?

The positive muon (?+), an unstable particle, lives on average 2.20?10−16 ? (measured in its own frame of reference) before decaying. (a) If such as particle is moving, with respect to the laboratory, with a speed of 0.900?, what average lifetime is measured in the laboratory? (b) What average distance, measured in the laboratory, does the particle move before decaying?

A mass m has a velocity v at a position x what will be the work done if the distance traveled is quadrupled A, 1/2 mv square B, mv square C, 3/2 mv square D,2mv square

What is the acceleration (a = dv/dt) in m/s2 of the rocket at t = 1.2 seconds. Given the function time shown in the table. Use central divided difference approximation. t, s 0 0.5 1.2 1.5 1.8 v, m/s 0 213 223 275 300