Physics 11 Relativity Worksheet #1 7. A 20.0 m long bus drives past ...
Physics 11 Relativity Worksheet #1 7. A 20.0 m long bus drives past ...
Physics 11 Relativity Worksheet #1 7. A 20.0 m long bus drives past ...
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<strong>Physics</strong> <strong>11</strong> <strong>Relativity</strong> <strong>Worksheet</strong> <strong>#1</strong><br />
<strong>7.</strong> A <strong>20.0</strong> m <strong>long</strong> <strong>bus</strong> <strong>drives</strong> <strong>past</strong> a person standing on the side of the road with a velocity of 0.900c.<br />
a) How <strong>long</strong> will the <strong>bus</strong> look to the person on the road?<br />
b) How much time does the person on the road say it takes for the entire <strong>bus</strong> to pass her?<br />
c) How much time do two people on the <strong>bus</strong> (one at the front, one at the back) say it takes to pass her?
8. Imagine you are a pole-vaulter running at 0.800 c with an 10.0 m <strong>long</strong> pole towards a garage that is 10.0 m deep.<br />
a) How <strong>long</strong> will the pole look to a stationary observer in the garage?<br />
b) How <strong>long</strong> will the garage look to a stationary observer in the garage?<br />
c) How <strong>long</strong> will the garage look to you as you run in?<br />
d) How <strong>long</strong> will the pole look to you as you run in?<br />
e) Will it fit?
<strong>Physics</strong> <strong>11</strong> <strong>Relativity</strong> <strong>Worksheet</strong> #2<br />
1. What is the mass of a car that is traveling at 2.25x10 8 m/s if it has a rest mass of 3400 kg?<br />
2. At what speed will an objects mass be twice its rest mass? Give your answer as both m/s and a β value.<br />
3. A train that has a proper length of 158 m and a rest mass of 8.00x10 5 kg is traveling at 0.925 c. What is its mass and<br />
length as measured by a stationary observer?
4. A fast train is traveling at 2.50x10 8 m/s compared to the ground outside when a passenger runs towards the front of the<br />
train at a speed of 1.50x10 8 m/s compared to the train. How fast is the passenger traveling compared to the ground?<br />
5. The same train is still traveling 2.50x10 8 m/s compared to the ground when a second passenger jogs towards the front<br />
of the train. Compared to ground outside, the person is jogging at 2.75x10 8 m/s. How fast are they going compared to<br />
the train?<br />
6. A rocket ship is moving away from the Earth at 0.800 c when it fires a probe forward at a speed of 0.500 c relative to<br />
the space ship. How fast do Earth observers say the probe is moving?
<strong>7.</strong> A <strong>long</strong> train is traveling at 0.500 c. On the train, a person is running forward at 0.400 c relative to the train. The<br />
runner throws a baseball forward at 0.300 c relative to himself.<br />
a) What is the speed of the runner wrt the ground?<br />
b) What is the speed of the ball wrt the ground?<br />
*8. At TRIUMF near UBC, pions (π+) are fired at targets at a speed of 0.950c. Pions are radioactive and only “live” for<br />
2.60x10 -8 s (in their own reference frame) before they decay.
a) How <strong>long</strong> will they appear to “live” to the scientists<br />
b) How many meters will they travel at TRIUMF during their lifetime?<br />
c) How many meters do the pions travel in their own reference frame?<br />
*9. The closest star to the Earth is 4 light years away. 1 light year is the distance that light will travel in 1 year. At what<br />
speed would you have to travel so that you can get there in only 3 years according to the clock on board the space<br />
craft. How <strong>long</strong> will stationary observers say that the trip took?
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