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A flying saucer travels at a pace of0.95caway from the world. It fires a UFO missile towardthe world at aspeed of 0.9c relative to the ship.What is the velocity ofthe missile relative to the world?(The direction the flying saucermoves is the+ direction.) The Final answer shouldbe0.35c. Please show how toget that.

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Hubert Koch
Hubert KochLv2
18 Aug 2019

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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Learning Goal: To understand length contraction and timedilation.

An inertial frame of reference is one in which Newton's laws hold.Any frame of reference that moves at a constant speed relative toan inertial frame of reference is also an inertial frame. Theproper length l_0 of an object is defined to be the length of theobject as measured in the object's rest frame. If the length of theobject is measured in any other inertial frame, moving with speed urelative to the object's rest frame (in a direction parallel tol_0), the resulting length l is given by the length contractionequation

l = l_0\sqrt{1-\frac{u^2}{c^2}} ,

where c is the speed of light. Similarly, if two events occur atthe same spatial point in a particular reference frame, and anobserver at rest in this frame measures the time interval betweenthese two events, the time interval so measured is defined to bethe proper time Delta t_0. When the time interval is measured inany other inertial frame, again moving with speed u relative to thefirst frame, the resulting time interval Delta t is given by thetime dilation equation

\Delta t = \frac{\Delta t_0}{\sqrt{1-\frac{u^2}{c^2}}} .

a. Suppose that you measure the length of a spaceship, at restrelative to you, to be 400 \rm m. How long will you measure it tobe if it flies past you at a speed of u = 0.75c?
Express the length l in meters to three significant figures.

b. The spaceship from Part A has a large clock attached to itsside. This clock ran at the same rate as your watch when you werein the same reference frame. How much time Delta t will pass onyour watch as 80 \rm s passes on the clock attached to theship?
Express your answer in seconds to three significant figures.

c. Two spaceships, named A and B, are flying toward each other withrelative speed 0.800c. If the captain of ship A fires a missile,counts 10.0 \rm s on his watch, and then fires a second missile,how much time Delta t will the captain of ship B measure to havepassed between the firing of the two missiles?
Express your answer in seconds to three significant figures.

d. The captain of ship B knows that ship A uses 2-m-long missiles.She measures the length of the first missile, once it has finishedaccelerating, and finds it to be only 0.872 \rm m long. What is thespeed u of the missile, relative to ship B?
Express your answer in meters per second to three significantfigures. Use c = 3 \times 10^8 \; \rm m/s.

Please answer fully... thank you

A space vehicle is coasting at a constant speed of 21.3 m/sinthe +y direction relative to a space station. The pilot ofthevehicle fires a thruster which causes it to accelerate at 0.35m/sin the +x direction. After 46.0 seconds the pilot shuts offthethruster. After the thruster is turned off, find:
A) The magnitude of the vehicles velocity and
B) The direction of the vehicles velocity relative to thespacestation. Express the direction as an angle measured from the+ydirection.

two soccer players, mary and jane, begin running from approximatelythe same point at the same time. mary runs in an easterly directionat 4.7 m/s. while jane takes off in a direction of 38.4 degreesnorth of east at 8.13 m/s. the magnitude of the velocity of janerelative to mary is 5.3 m/s.

1. how long is it before they are 22.1 m apart?
2. how far apart are they after 5.4 s?

3. For the intercontinental ballistic missile to
have a range of 17000 km, what must be
the speed v0 of the missile at the end of the
accelaration phase? Take the distance of the
accelaration phase, called the boost time, as
negligible compared to the travel time.

4. An astronaut on a strange planet finds that
she can jump a maximum horizontal distance
of 32.4 m if her initial speed is 10.6 m/s .
What is the acceleration due to gravity on
this planet?

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