The Postulates of Special Relativity and the Loss of Simultaneity · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Two rules that rebuilt time

Science · Quantum & Modern Physics · ages 18-19
Name ______________________   Date ____________
  1. Which is an inertial frame?

    • A nonrotating frame moving at constant velocity.
    • A rotating frame fixed to a moving carousel.
    • A braking frame fixed to a slowing road car.
  2. Which pair states both postulates of special relativity?

    • Same laws in inertial frames; vacuum light speed is c+v.
    • Same laws in inertial frames; vacuum light speed is c.
    • Same time in inertial frames; vacuum light speed is c.
  3. Two events simultaneous in one inertial frame must be simultaneous in every inertial frame.

    Circle one:   True   False

  4. In one inertial frame, light from two flashes reaches a stationary detector together through vacuum. The emission-to-detector distances differ. Which flash was emitted earlier in that frame?

    • The farther flash was emitted before the nearer flash.
    • Both flashes were emitted at the same detector-frame time.
    • The nearer flash was emitted before the farther flash.
  5. A train moves toward its front at constant speed. Its midpoint sends light in both directions through vacuum. What is the door illumination order in platform coordinates?

    • Front illumination precedes rear illumination.
    • Front and rear illumination are simultaneous.
    • Rear illumination precedes front illumination.
  6. A train moves at 0.2c relative to a platform and fires a vacuum light pulse forward. What would ordinary velocity addition predict for the pulse's platform speed, and why is that prediction rejected?

    • 0.8c; subtracting frame speed conflicts with the postulate.
    • 1.2c; adding frame speed conflicts with the postulate.
    • c; adding frame speed agrees with the postulate.
  7. A sealed inertial lab measures vacuum light speed c. Can this internal experiment establish that the lab is at absolute rest?

    • No; every inertial lab measures the same vacuum light speed c.
    • Yes; only an absolutely stationary lab measures vacuum light speed c.
    • Yes; uniform motion changes the measured vacuum light speed.
  8. A lamp emits a vacuum light pulse, and a detector later receives that same pulse. Can another inertial frame place reception before emission?

    • Yes; spatial separation permits either causal order.
    • Yes; fixed light speed reverses the causal order.
    • No; light connects the events and preserves their causal order.
LightMySky · lightmysky.comW1-mt_kZqVQ18bbc-s1

Answer key

For grown-ups. Fold this page away before handing over the rest.

Two rules that rebuilt time W1-mt_kZqVQ18bbc-s1

  1. A nonrotating frame moving at constant velocity. · An inertial frame has no acceleration or rotation. Constant speed around a circle still involves changing velocity.
  2. Same laws in inertial frames; vacuum light speed is c. · The postulates concern physical laws in inertial frames and the invariant speed of light in vacuum.
  3. False · The midpoint train pulse lights both doors simultaneously in train coordinates, but rear illumination occurs first in platform coordinates.
  4. The farther flash was emitted before the nearer flash. · At the same speed c, the farther signal has a longer journey. To arrive together, it must have left earlier.
  5. Rear illumination precedes front illumination. · Both pulses travel at c. The rear door moves toward its pulse, while the front moves away from its pulse.
  6. 1.2c; adding frame speed conflicts with the postulate. · Ordinary forward addition gives c+0.2c=1.2c. The second postulate instead requires platform speed c.
  7. No; every inertial lab measures the same vacuum light speed c. · The same physical laws and vacuum light speed apply in every inertial lab. This measurement cannot select absolute rest.
  8. No; light connects the events and preserves their causal order. · The same light pulse connects these events. Their causal order is invariant; they are not spacelike-separated.
Worksheet · LightMySky