Question

How fast must a meterstick be moving if its length is measured to shrink to 0.702...

How fast must a meterstick be moving if its length is measured to shrink to 0.702 m?

Can you explain it in many details?

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

In modern physics, the relationship of object's proper length to its contacted length is given by the length contraction equation:

where is the relativistic factor called the Lorentz factor and is the speed of light.

Using equation (1):

squaring both sides of the equation and rearranging the equation to obtain the expression for velocity:

The proper length of a meter stick is and it's contracted length is . Using this information, the speed of the meter stick must be:

  

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A moving spaceship is measured by a stationary observer to have a length that is five‑sixths...
A moving spaceship is measured by a stationary observer to have a length that is five‑sixths of its proper length. What is the speed ? of the spaceship relative to the observer? The speed of light is ?=3.00×108 m/s.
Part A How fast must an object travel for its total energy to be 10 %...
Part A How fast must an object travel for its total energy to be 10 % more than its rest energy? Express your answer using two significant figures. Part B How fast must an object travel for its total energy to 90 % more than its rest energy? Express your answer using two significant figures.
(a) If the wavelength of an electron is 5.41 ? 10?7 m, how fast is it...
(a) If the wavelength of an electron is 5.41 ? 10?7 m, how fast is it moving? b) If the electron has a speed equal to 8.90 ? 106 m/s, what is its wavelength?
How far from a 38.0-mm-focal-length lens must an object be placed if its image is to...
How far from a 38.0-mm-focal-length lens must an object be placed if its image is to be magnified 2.50× and be real? How far from a 38.0-mm-focal-length lens must an object be placed if its image is to be magnified 2.50× and be virtual?
If the wavelength of an electron is equal to 7.04 × 10^?7 m, how fast is...
If the wavelength of an electron is equal to 7.04 × 10^?7 m, how fast is it moving? Planck’s constant is 6.63 × 10^?34 J · s. Answer in units of km/s. If the electron has a speed of 1.58 × 107 m/s, what is its wavelength? Answer in units of m.
1)the density of a cube is measured by measuring its mass and length of side. if...
1)the density of a cube is measured by measuring its mass and length of side. if the maximum error in the measurements is 5% and 3% respectively. the maximum error in the measurement of density is ? 2)an object falls with a terminal speed of 120km/hr. assumin the drag force to be F=bv^2, and that b=0.503 kg/m. calculate the mass of the object
State license plates must be 6 characters (0-9, A-Z) in length, and characters can be used...
State license plates must be 6 characters (0-9, A-Z) in length, and characters can be used more than once. How many license plates can be made if you must start with 2 letters, then 4 numbers?
In tennis, the speed of the ball can reach 60 m/s in a fast service. How...
In tennis, the speed of the ball can reach 60 m/s in a fast service. How fast must the tennis racket be swung to reach that speed? Assume the mass of the racket is much larger than the mass of the ball.
A) How far from −53.0-mm-focal-length lens must an object be placed if its image is to...
A) How far from −53.0-mm-focal-length lens must an object be placed if its image is to be magnified 2.50× and be virtual? Follow the sign conventions. [Hint: Consider real objects and virtual objects (formed by some other piece of optics).] b) How far from −53.0-mm-focal-length lens must an object be placed if its image is to be magnified 2.50× and be real? Follow the sign conventions. [Hint: Consider real objects and virtual objects (formed by some other piece of optics).]
How far from a 42.0 mm focal-length lens must an object be placed if its image...
How far from a 42.0 mm focal-length lens must an object be placed if its image is to be magnified 2.90× and be real? What if the image is to be virtual and magnified 2.90×?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT