1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrew-mc [135]
3 years ago
10

Imagine that a relativistic train travels past your lecture room at a speed of 0.894 c. The passengers of the train claim that w

hen they measure the length of the train using standard meter bars found on the train, the length comes out to be 90.6 m. What would be the length of the train in the frame of the lecture room, if you measured it?
Physics
1 answer:
Lady bird [3.3K]3 years ago
8 0

Answer:

The length of the train in the frame of the lecture room is 40.59 m.

Explanation:

Given that,

Speed = 0.894 c

Original length = 90.6 m

We need to calculate the length of the train in the frame of the lecture room

Using formula of length contraction

L=L_{0}\sqrt{1-(\dfrac{v}{c})^2}

Where, L_{0}=original length

v = speed of train

Put the value into the formula

L=90.6\sqrt{1-(\dfrac{0.894c}{c})^2}

L=90.6\sqrt{1-0.894^2}

L=40.59\ m

Hence, The length of the train in the frame of the lecture room is 40.59 m.

You might be interested in
What effect does the removal of vegetation have on soil ?
Strike441 [17]
Hello!

The removal of vegetation causes the desertification and erosion of soil. The roots of the plants that are inside the soil create a sort of net that prevents the material to be dragged by the water from the rain. They also absorb any excess water that can weaken the soil structure. If vegetation is removed from the soil, the nutrients can be dragged by water currents and slowly the desertification will occur. 

Have a nice day!
5 0
3 years ago
a 3520 kg truck moving north at 18.5 m/s makes an INELASTIC collision with an 1480 kg car moving east after colliding they have
anyanavicka [17]

Answer:

Explanation:

An inelastic collision is one where 2 masses collide and stick together, moving as a single mass after the collision occurs. When we talk about this type of momentum conservation, the momentum is conserved always, but the kinetic momentum is not (the velocity changes when they collide). Because there is direction involved here, we use vector addition. The picture before the collision has the truck at a mass of 3520 kg moving north at a velocity of 18.5. The truck's momentum, then, is 3520(18.5) = 65100 kgm/s; coming at this truck is a car of mass 1480 kg traveling east at an unknown velocity. The car's momentum, then, is 1480v. The resulting vector (found when you pick up the car vector and stick the initial end of it to the terminal end of the truck's momentum vector) forms the hypotenuse of a right triangle where one leg is 65100 kgm/s, and the other leg is 1480v. Since we already know the final velocity of the 2 masses after the collision, we can use that to find the final momentum, which will serve as the resultant momentum vector in our equation (we'll get there in a sec). The final momentum of this collision is

p = mv and

p = (3520 + 1480)(13.6) so

p = 68000. Final momentum. The equation for this is a take-off of Pythagorean's Theorem and the one used to find the final magnitude of a resultant vector when you first began your vector math in physics. The equation is

p_f=\sqrt{(p_{truck})^2+(p_{car})^2} which, in words, is

the final momentum after the collision is equal to the square root of the truck's momentum squared plus the car's momentum squared. Filling in:

68000=\sqrt{(65100)^2+(1480v)^2} and

(68000)^2=(65100)^2+(1480v)^2 and

4624000000=4238010000+2190400v^2  and

385990000=2190400v^2 and

176.2189554=v^2 so

v = 13.3 m/s at 72.6°

6 0
2 years ago
If you apply a force of 100 N to the level, how much force is applied to lift the crate?
Kaylis [27]
I believe that the answer is B. 133 N
4 0
3 years ago
Are amplitude and wavelength related?<br> A: Yes<br> B: No
Trava [24]

The answer is A.Yes

Explanation:

The amplitude of a wave is the height of a wave as measured from the highest point of the wave to the lowest on the wave.

4 0
2 years ago
A 2.03 kg book is placed on a flat desk. Suppose the coefficient of static friction between the book and the desk is 0.602 and t
diamong [38]

Answer:

11.98 N

Explanation:

Normal force =   mg =  2.03 * 9.81

coeff of static friction must be overcome for the book to begin moving

       .602 = F / (2.03 * 9.81)   = 11.98  N

5 0
2 years ago
Other questions:
  • Which of the following waves travel at the greatest speed
    15·1 answer
  • 652-05-01-01-00_files/i0190000.jpg What does the direction of arrow B indicate?
    7·1 answer
  • A space heater primarily converts electrical energy into
    9·1 answer
  • You put a new battery into your MP3 player and listen to a song. What are the energy transformations taking place in this system
    11·1 answer
  • This is a sign of a chemical reaction that involves a new color being created during the reaction.
    6·1 answer
  • Give two examples of measurement<br>used in our daily life​
    11·1 answer
  • What is the minimum total energy released when
    11·2 answers
  • Write code to compare two numbers. The code should check whether the first number is less than or equal to the second and then d
    9·1 answer
  • 2.If you increase the release helght, you are increasing the what
    5·1 answer
  • 8.<br> In an inelastic collision kinetic energy is not conserved.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!