Answered: A rod of length (2 m) moves with speed…

A rod of length (2 m) moves with speed 0.9 c along the horizontal direction. The rod makes an angle 30° with respect to the x' axis. The angle e the rod makes with the x axis is. . 45 30 37 53

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter9: Relativity

Section: Chapter Questions

Problem 15P

See similar textbooks

Related questions

Q: Two spaceships are at the sun, and they set their clocks to zero. They then travel in opposite…

A: Given, Speed of spaceships are 0.80c and 0.90c distance from the sun is 5.0*109 m

Q: As the drawing shows, a carpenter on a space station has constructed a 30.0° ramp. A rocket moves…

A: v = 0.854cwhere c is the speed of lightθ = 30° Since it is in x-direction, there will be length…

Q: A rod of length (2 m) moves with speed 0.9 c along the horizontal direction. The rod makes an angle…

Q: A spaceship heads directly toward an asteroid at a relative speed of 0.75c. When it is 3.0 x 108 m…

A: Time interval between the events in the spaceship's frame ∆ts=∆ta1-vc2=∆Lv-∆Lc1-vc2=∆Lccv-11-vc2

Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.975c. Two…

Q: Two spaceships approach the Earth from opposite directions. According to a stationary observer on…

A: Given that:- Two spaceships A and B approch the earth from opposite directions.

Q: Frame A is stationary. A ball is fired in the x-direction with a speed of 5 m/s. If Frame B is…

A: Frame A is stationary. A ball is fired in the x-direction with a speed of 5 m/s. If FrameB is moving…

Q: A rod of length 2.0 m is at rest in S’ and is tilted at an angle of 35 degrees with respect to the…

Q: Reference frame S' moves at speed v =0.95c in the +a direction with respect to reference frame S.…

Q: If a spaceship, approaching the Earth at 0.190c, sends a message capsule toward the Earth at 0.390c…

Q: An observer in reference frame S′ observes that a lightning bolt strikes the origin, and 1.0×10−4 s…

Q: Two particles are created in a high-energy accelerator and moves off in opposite directions. The…

A: Write the expression for the speed of the second particle.

Q: A rod measures 1.00 m in its rest frame. How fast must an observer move parallel to the rod to…

Q: A space ship traveling toward Mars at 0.6 times the speed of light c shoots an ELECTRON beam at…

A: The formula for the relative velocity of the electron is:

Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.993c. Two…

Q: (i) An electron with rest energy 0.511 MeV travels with speed u = 0.7c. Find (a) its total energy…

A: We are authorized to answer one problem at a time, since you have not mentioned which one you are…

Q: An observer in inertial frame S measures the space and time coordinates of an event to be x=750 m,…

A: From the question, it is given that- x = 750 m, y = 250 m, z = 250 m, and t = 2.0 x 10-6 s Speed of…

Q: A rod is to move at constant speed v along the x axis of reference frame S, with the rod's length…

A: La = 1.5 m v = 0.94 c L at β having value 0 = 45×La= 0.8×1.5 m = 1.2 m

Q: A rod of length (2 m) moves with speed 0.9 c along the horizontal direction. The rod makes an angle…

Q: A spacecraft travelling at a speed of 0.95 c goes from the planet Jupiter to the planet Pluto A…

Q: A rocket cruises past a laboratory at 0.400 x 10° m/s in the positive I-direction just as a proton…

Q: A super rocket car traverses a straight track 2.30×105 m long in 1.00×10−3 s as measured by an…

Q: Two spaceships, each moving at a speed 0.75c relative tothe Earth, are headed directly toward each…

A: Given: The velocity of each spaceship is 0.75c. Introduction: When the velocity of an object is…

Q: An object moves by an observer at 0.400 c. The total energy of the object will be what factor times…

Q: An object moving with velocity u's 0.6c in a frame that is itself moving at v =0.8c. The yelocity of…

Q: An astronaut in a rocket moving at 0.50c toward the sun finds himself halfway between the Earth and…

Q: A rod of length (2 m) moves with speed 0.9 c along the horizontal direction. The rod makes an angle…

Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.956c. Two…

A: If the relative speed between S and S' frame is v then the Lorentz transformation gives the…

Q: As the drawing shows, a carpenter on a space station has constructed a 30.0° ramp. A rocket moves…

A: Length does not contract in the direction perpendicular to the velocity, since there is no relative…

Q: A particle moves along the x' axis of frame S' with velocity 0.40c. Frame moves with velocity 0.60c…

Q: is 0.961c. Two micrometeorites collide at coordinates x = 129 km and t = 192 μs according to an…

A: Given:- The origins of the two frames coincide at t = t' = 0 and the relative speed is 0.961c. Two…

Q: The origins of the two frames coincide at t = t’ = 0 and the relative speed is 0.990 c. Two…

Q: The formula for length contraction gives the length of an interval on a ruler moving with velocity v…

A: Given: The formula for length contraction gives the length of an interval on a ruler moving with…

Q: Starship "A" is traveling at 0.8c with respect to the identical starship "B". Each starship has rest…

Q: An elementary particle of a mass m, moving to the right with v=0.800 c after leaving an accelerator,…

Q: Why is the following situation impossible? On their 40th birthday, twins Speedo and Goslo say…

A: Determine the total time taken by Speedo in traveling between the two planets (going and returning…

Q: Two rockets, A and B, approach the earth from opposite directions at speed 0.800c. The length of…

A: Given data The length of the frame at rest is, Lo=100 m The speed of two approaching rockets A and B…

Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.991c. Two…

A: a) To find the spatial coordinate of collision for an observer in frame s by Lorentz transformation…

Q: Apply the special theory of relativity to prove that the time interval t in the moving reference…

A: Consider that you are in an inertial frame (S) where there is a light clock consisting of 2 mirrors…

Q: I need the answer as soon as possible

Q: What is the speed of an electron having the same kinetic energy with a proton with speed 0.006 c?

Q: According to the theory of relativity, when moving objects are measured from a stationary frame,…

Concept explainers

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

A rod of length (2 m) moves with speed 0.9 c along the horizontal direction. The rod makes an
angle 30° with respect to the x' axis. The angle 0 the rod makes with the x axis is..
45
30
37
53

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Owen and Dina are at rest in frame S. which is moving at 0.600c with respect to frame S. They play a game of catch while Ed. at rest in frame S, watches the action (Fig. P39.91). Owen throws the ball to Dina at 0.800c (according to Owen), and their separation (measured in S') is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, (d) how fast is the ball moving, and (e) what time interval is required for the ball to reach Dina?
A spacecraft moves at a speed of 0.900c. If its length is L as measured by an observer on the spacecraft, what is the length measured by a ground observer?
Calculate the momentum of a proton moving with a speed of (a) 0.010c, (b) 0.50c, (c) 0.90c. (d) Convert the answers of (a)(c) to MeV/c.
As measured by observers in a reference frame S, a particle having charge q moves with velocity v in a magnetic field B and an electric field E. The resulting force on the particle is then measured to be F = q(E + v × B). Another observer moves along with the charged particle and measures its charge to be q also but measures the electric field to be E′. If both observers are to measure the same force, F, show that E′ = E + v × B.
An atomic clock is placed in a jet airplane. The clock measures a time interval of 3600 s when the jet moves with a speed of 400 m/s. How much longer or shorter a time interval does an identical clock held by an observer on the ground measure? (Hint: For , γ ≈ 1 + v2/2c2.)
An observer in a coasting spacecraft moves toward a mirror at speed v relative to the reference frame labeled S in Figure P39.85. The mirror is stationary with respect to S. A light pulse emitted by the spacecraft travels toward the mirror and is reflected back to the spacecraft. The spacecraft is a distance d from the mirror (as measured by observers in S) at the moment the light pulse leaves the spacecraft. What is the total travel time of the pulse as measured by observers in (a) the S frame and (b) the spacecraft?
A clock on a moving spacecraft runs 1 s slower per day relative to an identical clock on Earth. What is the relative speed of the spacecraft? (Hint: For v/c << 1, note that γ ≈ 1 + v2/2c2.)
Owen and Dina are at rest in frame S, which is moving at 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P9.63). Owen throws the ball to Dina at 0.800c (according to Owen), and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, (d) how fast is the ball moving, and (e) what time interval is required for the ball to reach Dina? Figure P9.63
You measure the volume of a cube at rest to be V0. You then measure the volume of the same cube as it passes you in a direction parallel to one side of the cube. The speed of the cube is 0.980c, so 5. Is the volume you measure close to (a) V0/25, (b) V0/5, (c) V0, (d) 5V0, or (e) 25V0?
Joe and Moe are twins. In the laboratory frame at location S1 (2.00 km, 0.200 km, 0.150 km). Joe shoots a picture for aduration of t= 12.0 s. For the same duration as measured inthe laboratory frame, at location S2 (1.00 km, 0.200 km,0.300 km), Moe also shoots a picture. Both Joe and Moe begintaking their pictures at t = 0 in the laboratory frame. Determine the duration of each event as measured by an observer ina frame moving at a speed of 2.00 108 m/s along the x axisin the positive x direction. Assume that at t = t = 0, the origins of the two frames coincide.
As seen from Earth, two spaceships A and B are approaching along perpendicular directions. If A is observed by an Earth observer to have velocity uy = 0.90c and B to have a velocity ux = +0.90c, find the speed of ship A as measured by the pilot of B.
Owen and Dina are at rest in frame S, which is moving with a speed of 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P26.45). Owen throws the ball to Dina with a speed of 0.800c (according to Owen) and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, and (d) how fast is the ball moving? Figure. P26.45