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natka813 [3]
3 years ago
7

A tracking station on Earth observes a rocket move away at 0.370c. This rocket is designed to launch a projectile at 0.505c rela

tive to the rocket. What speed (in terms of the speed of light) does the tracking station measure for the projectile if it is fired (a) straight ahead of the rocket or (b) backward from the rocket?
Physics
1 answer:
Orlov [11]3 years ago
7 0

Answer

given,

speed of rocket moving away = 0.370 c

speed of projectile = 0.505 c

a) Speed of the tracking station

  u = 0.505 c + 0.370 c = 0.875 c

 u'= \dfrac{u-v}{1-\dfrac{uv}{c^2}}

 u'= \dfrac{(0.875 c)-0.370 c}{1-0.875 \times 0.370}

        u' = 0.747 c

b)  when the rocket is moving backward

    u = -0.505 c + 0.37 c = - 0.135 c

 u'= \dfrac{-v}{1-\dfrac{uv}{c^2}}

 u'= \dfrac{(-0.135 c-0.370 c}{1-(-0.135) \times 0.370}

        u' = -0.481 c

negative sign represent direction

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Dvinal [7]

Answer

Maximum speed at 75 m radius will be 22.625 m /sec

Explanation:              

We have given radius of the curve r = 150 m

Maximum speed v_{max}=32m/sec

Coefficient of friction \mu =\frac{v_{max}^2}{rg}=\frac{32^2}{150\times 9.8}=0.6965

Now new radius r = 75 m

So maximum speed at new radius v_{max}=\sqrt{\mu rg}=\sqrt{0.6965\times 75\times 9.8}=22.625m/sec

7 0
3 years ago
A cylindrical vessel with water is rotated about its vertical axis with a constant angular velocity co. Find:
Nataly [62]

Answer:

Explanation:

The question is one that examine the physical fundamental of mechanics of a cylindrical vessel .

We would use the Euler' equation and some coriolis and centripetal force formula.

The fig below explains it.

4 0
3 years ago
Read 2 more answers
Adam drops a ball from rest from the top floor of a building at the same time Bob throws a ball horizontally from the same locat
guapka [62]

Answer:

Both balls hit the ground at the same time

Explanation:

Adam drops the ball from rest, so the ball just "<em>falls</em>" in vertical direction, being gravity its only acceleration, for cinematic movements we use that:

y(t)=y_{0}+v_{0y}t+\frac{1}{2}gt^{2}

In this case we have that gravity is negative, and as Adam drops the ball, v_{0y}=0

Bob throws the ball horizontally, so the movement will be a <em>parabola</em>, we can divide into horizontal direction, and vertical direction.

But we only need to analize the vertical movement, in wich again the only acceleration is gravity, and compare it with Adam's ball. Again we have that gravity is negative, and as the initial throw is horizontal, v_{0y}=0

Finally, we have that

y(t)=h-\frac{1}{2}gt^{2}

where

h=y_{0}

both for Adam's vertical drop, and for Bob's vertical component of the parabolic throw.

Now, if we put y(t)=0 (the origin of the vertical coordinate), we get for both cases that

h=\frac{1}{2}gt^{2}

where we can clear the value for the time t, of the fall, wich will be the same in both cases.

Hence, both balls hit the ground at the same time.

3 0
3 years ago
An advertisement claims that a particular automobile can "stop on a dime". What net force would actually be necessary to stop an
Luba_88 [7]

Answer:

F = 4399 KN

Explanation:

given,

mass of automobile = 890 kg

initial speed = 48 km/h

                     = 48 × 0.278 = 13.34 m/s

using equation of motion

v² = u² + 2 a × s

0 = 13.34² - 2 a ×0.018

a = \dfrac{13.34^2}{0.036}

a = 4943.21 m/s²

F   = m × a

F   = 890 × 4943.21

F   =  4399456.9 N

F = 4399 KN

hence, the  Net force is F = 4399 KN

4 0
3 years ago
The energy of a photon of light is ________ proportional to its frequency and ________ proportional to its wavelength.
nirvana33 [79]
The energy of a photon of light is directly proportional to its frequency and <span>inversely</span> proportional to its wavelength.
7 0
3 years ago
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