Test 1 Physics

Estimate the number of liters of water a human drinks in a lifetime

V = 5×10^4 L

The diameter of the Moon is 3480 km A)What is the surface area of the Moon? B)How many times larger is the surface area of the Earth?

a) AMoon = 3.80×10^13 m^2 b) AEarth/AMoon = 13.4

A) Statement A: 2.567 km, to two significant figures. Statement B: 2.567 km, to three significant figures. B) Statement A: (2.567 km + 3.146 km), to two significant figures. Statement B: (2.567 km, to two significant figures) + (3.146 km, to two significant figures) C) Statement A: Area of a rectangle with measured length = 2.536 mm and width = 1.4 mm. Statement B: Area of a rectangle with measured length = 2.536 mm and width = 1.41 mm

a) Statement A is greater than Statement B. b) Statement A is equal to Statement B c) Statement A is greater than Statement B

A) Find the dimensions [V] of volume. Express your answer as powers of length (l), mass (m), and time (t) B) Find the dimensions [v] of speed. Express your answer as powers of length (l), mass (m), and time (t) C) Find the dimensions [a] of acceleration. Express your answer as powers of length (l), mass (m), and time (t).

a) [V]=l^3 b) [v] = l/t c) [a]= l/t^2

Three students derive the following equations in which x refers to distance traveled, v the speed, a the acceleration (m/s^2), t the time, and the subscript zero (0) means a quantity at time t=0: (a)x=vt^2+2at (b)x=v0t+1/2at^2 (c)x=v0t+2at^2 Which of these equations could possibly be correct according to a dimensional check?

can be correct: equation b and c cannot be correct: equation a

One consequence of Einstein's theory of special relativity is that mass is a form of energy. This mass-energy relationship is perhaps the most famous of all physics equations: E=mc^2 where m is mass, c is the speed of the light, and E is the energy. In SI units, the units of speed are m/s. For the preceding equation to have consistent units (the same units on both sides of the equation), the units of E must be which of the following

kg(m^2)/s

How much longer (percentage) is a one-mile race than a 1500-m race ("the metric mile")?

%=(1610-1500/1500)x100% percentage difference =7.3%

An airplane travels at 890 km/h How long does it take to travel 1.00 km

1.00=890(t) t=1.124x10^-3 hrs. or t = 4.04s

To seven significant figures, the mass of a proton is 1.672623×10−27kg. Which of the following choices demonstrates correct rounding?

1.67×10−27kg

Determine the values of a and k when 299,790,000299,790,000 is written in scientific notation.

2.9979, 8

Express the following sum with the correct number of significant figures: 1.80 mm + 118.5 cm + 5.21×10^5 μm.

3.51m

Now consider the expression 4.0×10^3+4×10^2. Determine the values of a and k when the value of this expression is written in scientific notation.

4.4, 3

Determine the values of a and k when 0.51 is written in scientific notation.

5.1, -1

To eight significant figures, Avogadro's constant is 6.0221367×1023mol−1. Which of the following choices demonstrates correct rounding?

6.022×1023mol−1 6.0×1023mol−1 6.02214×1023mol−1

How many nanoseconds does it take light to travel a distance of 2.30 km in a vacuum?

7670 ns

Determine the values of a andkk when the value of this expression is written in scientific notation. (6.67x10^-11)(5.97x10^24)/(6.38x10^6)^2

9.78, 0

Estimate the order of magnitude (power of ten) of A) 2800 B) 86.30x10^2 C) 0.0076 D) 15x10^8

A) 1000 B) 1x10^4 C) 1x10^-2 D) 1x10^9

A) How many significant figures are in 0.0067 B) How many significant figures are in 10,002? C) What is the product of 12.56 and 2.12?

A) 2 B) 5 C) 26.6

A) What is the approximate height of the average adult in centimeters? B) Approximately what is the mass of the average adult in kilograms?

A) 200 cm B) 80 kg

Gravity causes objects to be attracted to one another. This attraction keeps our feet firmly planted on the ground and causes the moon to orbit the earth. The force of gravitational attraction is represented by the equation F=Gm1m2r2/Gm1m2r2 where F is the magnitude of the gravitational attraction on either body, m1 and m2 are the masses of the bodies, r is the distance between them, and G is the gravitational constant. In SI units, the units of force are kg⋅m/s2kg⋅m/s2, the units of mass are kg, and the units of distance are m. For this equation to have consistent units, the units of G must be which of the following

m^3/kg(s^2)

In classical mechanics there are three base dimensions. Length is one of them. What are the other two?

mass and time