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Q30 PE

Expert-verifiedFound in: Page 261

Book edition
1st Edition

Author(s)
Paul Peter Urone

Pages
1272 pages

ISBN
9781938168000

**The Crab Nebula (see Figure 7.41) pulsar is the remnant of a supernova that occurred in A.D. 1054. Using data from Table 7.3, calculate the approximate factor by which the power output of this astronomical object has declined since its explosion.**

The factor by which the power output of the Crab Nebula has declined since its explosion is ${10}^{-10}$.

**Power: Power is a scalar quantity defined as how fast energy is being consumed or transformed. One watt of power is defined as one Joules of energy is being consumed per second.**

The power output of the Crabs Nebula is,

${P}_{C}={10}^{28}\text{W}$

The power output of the Supernova explosion is,

${P}_{S}=5\times {10}^{37}\text{W}$

The factor by which the power output has deceased is,

$F=\frac{{P}_{C}}{{P}_{S}}$

Putting all known values,

$F=\frac{{10}^{28}\text{W}}{5\times {10}^{37}\text{W}}\phantom{\rule{0ex}{0ex}}=2\times {10}^{-10}$

Therefore, the factor by which the power output of the Crab Nebula has declined since its explosion is ${10}^{-10}$.

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