Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 13, Problem 17QAP
To determine
The correct option.
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A constant force F acting on a particle of mass m changes the velocity from ₁ to ₂ in
₂ force is
time T. (a) Prove that ₹ = m(v₂ — v₁)/π (b) Does the result in (a) hold if the
variable? Explain.
Mass of a Moving Particle
The mass m of a particle moving at a velocity v is related to its rest mass m0 by the equation
m =
m0
1 −
v2
c2
where c
(2.98 ✕ 108 m/s)
is the speed of light. Suppose an electron of rest mass
9.11 ✕ 10−31 kg
is being accelerated in a particle accelerator. When its velocity is
2.87 ✕ 108 m/s
and its acceleration is
2.45 ✕ 105 m/s2,
how fast is the mass of the electron changing? (Enter your answer in scientific notation rounded to three significant figures.)
✕ 10kg/s
An object has a rest mass of 185.0 kg. As the object moves, it is measured that its mass is 192.0 kg. How fast is the object moving?
Chapter 13 Solutions
Understanding Our Universe
Ch. 13.1 - Prob. 13.1CYUCh. 13.2 - Prob. 13.2CYUCh. 13.3 - Prob. 13.3CYUCh. 13.4 - Prob. 13.4CYUCh. 13.5 - Prob. 13.5CYUCh. 13.6 - Prob. 13.6CYUCh. 13 - Prob. 1QAPCh. 13 - Prob. 2QAPCh. 13 - Prob. 3QAPCh. 13 - Prob. 4QAP
Ch. 13 - Prob. 5QAPCh. 13 - Prob. 6QAPCh. 13 - Prob. 7QAPCh. 13 - Prob. 8QAPCh. 13 - Prob. 9QAPCh. 13 - Prob. 10QAPCh. 13 - Prob. 11QAPCh. 13 - Prob. 12QAPCh. 13 - Prob. 13QAPCh. 13 - Prob. 14QAPCh. 13 - Prob. 15QAPCh. 13 - Prob. 16QAPCh. 13 - Prob. 17QAPCh. 13 - Prob. 18QAPCh. 13 - Prob. 19QAPCh. 13 - Prob. 20QAPCh. 13 - Prob. 21QAPCh. 13 - Prob. 22QAPCh. 13 - Prob. 23QAPCh. 13 - Prob. 24QAPCh. 13 - Prob. 26QAPCh. 13 - Prob. 27QAPCh. 13 - Prob. 28QAPCh. 13 - Prob. 29QAPCh. 13 - Prob. 30QAPCh. 13 - Prob. 31QAPCh. 13 - Prob. 32QAPCh. 13 - Prob. 33QAPCh. 13 - Prob. 35QAPCh. 13 - Prob. 36QAPCh. 13 - Prob. 37QAPCh. 13 - Prob. 38QAPCh. 13 - Prob. 39QAPCh. 13 - Prob. 40QAPCh. 13 - Prob. 41QAPCh. 13 - Prob. 43QAPCh. 13 - Prob. 44QAPCh. 13 - Prob. 45QAP
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- a (m/s') 2. SpaceX engineers is planning to build a 2-stage rocket which has a-t graph as shown. By their design, the first stage A will burn out after 20 seconds and then the second stage B will ignite. Plot the v-t and s-t graphs which describe the two-stage motion of the missile for 0sts 30s. 30 22 $ (si 20 30arrow_forwardAn object has a velocity (4.69 m/s)i + (-4.4 m/s)j + (4.73 m/s)k. In a time of 5.5 s its velocity becomes (-2.22 m/s)i + (0.00 m/s)j + (4.73 m/s)k. 1) If the mass of the object is 3.31 kg, what is the magnitude of the net force on the object, in N, during the 5.5 s? Assume the acceleration is constant.arrow_forwardSuppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 4.0 104 kg (about 40 tons). The rocket engines are shut off, and you're coasting along with a constant velocity of ‹ 0, 30, 0 › km/s. As you pass the location ‹ 6, 9, 0 › km you briefly fire side thruster rockets, so that your spacecraft experiences a net force of ‹ 5.0 105, 0, 0 › N for 20 s. The ejected gases have a mass that is small compared to the mass of the spacecraft. You then continue coasting with the rocket engines turned off. Where are you an hour later? (Think about what approximations or simplifying assumptions you made in your analysis. Also think about the choice of system: what are the surroundings that exert external forces on your system?)f = marrow_forward
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