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Zolol [24]
2 years ago
5

An alien spaceship traveling at 0.600 c toward the Earth launches a landing craft. The landing craft travels in the same directi

on with a speed of 0.800 c relative to the mother ship. As measured on the Earth, the spaceship is 0.200 ly from the Earth when the landing craft is launched.(d) If the landing craft has a mass of 4.00 × 10⁵ kg , what is its kinetic energy as measured in the Earth reference frame?
Physics
1 answer:
Arturiano [62]2 years ago
3 0

The kinetic energy as measured in the Earth reference frame is 6.704*10^22 Joules.

To find the answer, we have to know about the Lorentz transformation.

<h3>What is its kinetic energy as measured in the Earth reference frame?</h3>

It is given that, an alien spaceship traveling at 0.600 c toward the Earth, in the same direction the landing craft travels with a speed of 0.800 c relative to the mother ship. We have to find the kinetic energy as measured in the Earth reference frame, if the landing craft has a mass of 4.00 × 10⁵ kg.

                  V_x'=0.8c\\V=0.6c\\m=4*10^5kg

  • Let us consider the earth as S frame and space craft as S' frame, then the expression for KE will be,

                  KE=m_0c^2=\frac{mc^2}{1-(\frac{v_x^2}{c^2} )}

  • So, to V_x=(0.8+0.6)c-[\frac{0.6c*(0.8c)^2}{c^2}]=1.016find the KE, we have to find the value of speed of the approaching landing craft with respect to the earth frame.
  • We have an expression from Lorents transformation for relativistic law of addition of velocities as,

                      V_x'=\frac{V_x-V}{1-\frac{VV_x}{c^2} } \\thus,\\V_x=V_x'(1-\frac{VV_x}{c^2} )+V

  • Substituting values, we get,

          V_x=0.8c(1-\frac{0.8c*0.6c}{c^2} )+0.6c=(0.8c*0.52)+0.6c=1.016c

  • Thus, the KE will be,

              KE=\frac{4*10^5*(3*10^8)^2}{\sqrt{1-\frac{(1.016c)^2}{c^2} } } =\frac{1.2*10^{22}}{0.179}=6.704*10^{22}J

Thus, we can conclude that, the kinetic energy as measured in the Earth reference frame is 6.704*10^22 Joules.

Learn more about frame of reference here:

brainly.com/question/20897534

SPJ4

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Limestone is a kind of Foliated Metamorphic rock.  
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3 years ago
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What is the kinetic energy of a 1200 kg object that is moving at a speed of 24m/s?
n200080 [17]
Here, K.E. = 1/2 * mv²

So, K.E. = 1/2 * (1200) * (24)²

K.E. = 1/2 * 1200 * 576

K.E. = 600 * 576

K.E. = 345,600 J

Hope this helps!
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3 years ago
PLEASE HURRY THIS IS URGENT
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7 0
2 years ago
(a) what is the period of small oscillations for this pendulum if it is located in an elevator accelerating upward at 9.00 m/s2?
Vinvika [58]

If this pendulum is situated in an elevator that is moving upward at a speed of 9.00 m/s2, the period of its minor oscillations is 4.34s.

<h3>One oscillation is it a period?</h3>

Period is equal to the length of one oscillation.

T. T . The frequency is the number of oscillations that occur in one second.

<h3>Short answer: How long does a pendulum swing?</h3>

A simple pendulum's period is: The symbol "T" stands for the period of time needed by the pendulum to complete one complete oscillation. The length of a basic pendulum: It is described as the distance the pendulum moves away from equilibrium and toward one side.

Since the elevator's oscillations for this pendulum are situated there and it is climbing at a 9.0 mph,

use G = 9.8 + 9.0 = 18.8 m/s²

Period T=2π√(L/G)

T= 2π√(9/18.8)

T=4.34s

To know more about oscillation visit:-

brainly.com/question/29273618

#SPJ4

7 0
11 months ago
Two lifeguards pull on ropes attached to a raft. If they pull in the same direction, the raft experiences a net external force o
makkiz [27]

F_1=207.5\ N

F_2=92.5\ N    

Explanation:

Let F_1\ and\ F_2 is the two forces acting on the raft. If they pull in the same direction, the net force is given by :

F_1+F_2=300...............(1)

If they pull in opposite direction, net force is given by :

F_1-F_2=115...............(2)

It is required to find the magnitude of both forces. On solving equation (1) and (2) we get :

F_1+F_2=300

F_1-F_2=115

F_1=207.5\ N

F_2=92.5\ N          

So, the forces are 207.5 N and 92.5 N. Hence, this is the required solution.                  

6 0
3 years ago
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