Free Printable Measurement, Conversions, & Mathematical Skills

1.

Given the expression $\frac{1}{2}mv^2=\frac{1}{2}kx^2$ , which of the following choices has correctly solved for the variable $k$ ?

a)

$k=\frac{mv^2}{x^2}$

b)

$k=\frac{mv}{x}$

c)

$k=\frac{1}{2}mv^2-\frac{1}{2}x^2$

d)

$\sqrt{\frac{2x^2}{mv^2}}$

2.

Given the equation $F=\frac{mv^2}{r}$ , if $m$ has units of [ $kg$ ], $v$ has units of [ $\frac{m}{s}$ ], and $r$ has units of [ $m$ ], then which of the following would be the unit for $F$ ?

a)

$\frac{kg}{s^2}$

b)

$\frac{kg\cdot m^2}{s^2}$

c)

$\frac{kg\cdot m}{s^2}$

d)

$\frac{kg}{m^2}$

3.

Which of the following quantities represents the smallest value for time?

a)

10 μs (microseconds)

b)

1 ns (nanosecond)

c)

500 ps (picoseconds)

d)

0.01 ms (millisecond)

4.

Which of the following quantities when expressed with a metric prefix is equivalent to $1.49\times10^{11}$ bytes?

a)

1.49 kilobytes

b)

1.49 Terabytes

c)

149 Gigabytes

d)

149 Terabytes

5.

Which of the following is NOT a fundamental unit?

a)

kilogram

b)

pound

c)

meter

d)

second

6.

The electron has a rest mass of $9.11\times10^{-31}$ kg. Which order of magnitude best represents the electron's rest mass?

a)

$10^{-30}\ kg$

b)

$10^{-31}\ kg$

c)

$10^{-32}\ kg$

d)

None of these

7.

The wavelength of green light is approximately 490 nm (nanometers). What is the order of magnitude of green light’s wavelength in meters?

a)

$10^{-6}\ m$

b)

$10^{-7}\ m$

c)

$10^{-8}\ m$

d)

$10^{-9}\ m$

8.

If a room is 12 feet and 10 inches in length, which of the following choices is equivalent to this length? (Conversion Factor: 1 foot = 12 inches)

a)

10 feet or 12 inches

b)

12 feet or 10 inches

c)

12.10 feet or 120 inches

d)

12.8 feet or 154 inches

9.

Which of the following units of measurement is NOT associated with the metric system?

a)

kilogram

b)

slug

c)

second

d)

centimeter

10.

For the following equation, $\rho Vg\ -\ mg\ =\ ma$ which of the following correctly isolates $V$ ?

a)

$V=\frac{ma}{\rho g}+\frac{m}{\rho}$

b)

$V=\frac{a+g}{\rho g}$

c)

$V=\frac{ma-mg}{\rho g}$

d)

$V=\frac{ma}{mg}-\rho g$

Measurement, Conversions, & Mathematical Skills

Total questions: 10

Worksheet time: 5mins

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