Physics

# Problems

PhysicsProblems

## 1.3The Language of Physics: Physical Quantities and Units

34.

A commemorative coin that sells for $40 is advertised to be plated with 15 mg of gold. Suppose gold is worth about$1,300 per ounce. Which of the following best represents the value of the gold in the coin?

1. $0.33 2.$0.69
3. $3.30 4.$6.90
35 .
If a marathon runner runs $9.5\,\text{miles}$ in one direction, $8.89\,\text{miles}$ in another direction and $2.333\,\text{miles}$ in a third direction, how much distance did the runner run? Be sure to report your answer using the proper number of significant figures.
1. $20$
2. $20.7$
3. $20.72$
4. $20.732$
36 .
The speed limit on some interstate highways is roughly $80\,\text{km/h}$. What is this in meters per second? How many miles per hour is this?
1. $62\,\text{m/s}$, $27.8\,\text{mi/h}$
2. $22.2\,\text{m/s}$, $49.7\,\text{mi/h}$
3. $62\,\text{m/s}$, $2.78\,\text{mi/h}$
4. $2.78\,\text{m/s}$, $62\,\text{mi/h}$
37 .
The length and width of a rectangular room are measured to be $3.955 \pm 0.005\,\text{m}$ by $3.050 \pm 0.005\,\text{m}\!$. Calculate the area of the room and its uncertainty in square meters.
1. $12.06 \pm 0.29\,\text{m}^2$
2. $12.06 \pm 0.01\,\text{m}^2$
3. $12.06 \pm 0.25\,\text{m}^2$
4. $12.06 \pm 0.04\,\text{m}^2$
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