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If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following? a. acceleration b. length c. time d. area
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If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Dec 18, 2015

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Dwight McGee
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Page 1: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

a. acceleration

b. length

c. time

d. area

Page 2: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

a. acceleration

b. length

c. time

d. area→

Page 3: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

A crate has the dimensions of 1.0 m x 1.2 m x 0.80 m. If there are 3.28 feet per meter then what is the volume of the crate in cubic feet?

a. 34 cubic feet

b. 10 cubic feet

c. 68 cubic feet

d. 3 cubic feet

Page 4: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

A crate has the dimensions of 1.0 m x 1.2 m x 0.80 m. If there are 3.28 feet per meter then what is the volume of the crate in cubic feet?

a. 34 cubic feet

b. 10 cubic feet

c. 68 cubic feet

d. 3 cubic feet

1.0 m x 1.2 m x 0.80 m=0.96 m3

0.96 m3 x (3.28 ft/meter)3= 34 ft3

Page 5: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

If a jet airplane climbs at an angle of 15 with respect to the horizontal and follows a straight-line path for a distance of 400 m, how much altitude does it gain?

a. 100 m

b. 390 m

c. 141 m

d. 200 m

Page 6: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

If a jet airplane climbs at an angle of 15 with respect to the horizontal and follows a straight-line path for a distance of 400 m, how much altitude does it gain?

a. 100 m

b. 390 m

c. 141 m

d. 200 m

15o

400 m y

sin 15o = y/400m

y=(sin 15o)400 m=100 m

Page 7: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Mass, along with what other two quantities, make up the three basic quantities in mechanics used by physicists to derive additional quantities?

a. length and force

b. power and force

c. length and time

d. force and time

Page 8: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Mass, along with what other two quantities, make up the three basic quantities in mechanics used by physicists to derive additional quantities?

a. length and force

b. power and force

c. length and time

d. force and time→

Mass, length, and time are the three basic quantities of measurementin the study of mechanics.

Page 9: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Note the following mathematical expression: y = x 2 . Which one of the statements below is most consistent with this expression?

a. if y doubles, then x quadruples

b. y is greater than x

c. if x doubles, then y doubles

d. if x doubles, then y quadruples

Page 10: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Note the following mathematical expression: y = x 2 . Which one of the statements below is most consistent with this expression?

a. if y doubles, then x quadruples

b. y is greater than x

c. if x doubles, then y doubles

d. if x doubles, then y quadruples→

Consider, if x=2, then y=4. If you increase x by a factor of 2 so x=4, then y=16.

Page 11: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Which of the following formulas is dimensionally consistent with an expression which would yield a value for time -1 (v is velocity, x is distance, and t is time)?

a. v/x

b. v2/x

c. x/t

d. V2 t

Page 12: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Which of the following formulas is dimensionally consistent with an expression which would yield a value for time -1 (v is velocity, x is distance, and t is time)?

a. v/x

b. v2/x

c. x/t

d. V2 t

Page 13: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Since 1967 the standard definition for the second of time has been based on which of the following?

a. characteristic frequency of the cesium-133 atom

b. average solar day

c. sidereal day

d. Greenwich Civil Time

Page 14: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Since 1967 the standard definition for the second of time has been based on which of the following?

a. characteristic frequency of the cesium-133 atom

b. average solar day

c. sidereal day

d. Greenwich Civil Time

Page 15: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Since 1983 the standard meter has been defined in terms of which of the following?

a. specific alloy bar housed at Sevres, France

b. wavelength of light emitted by krypton-86

c. distance from the Earth's equator to the north pole

d. the distance light travels in 1/(3 x 108) second

Page 16: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Since 1983 the standard meter has been defined in terms of which of the following?

a. specific alloy bar housed at Sevres, France

b. wavelength of light emitted by krypton-86

c. distance from the Earth's equator to the north pole

d. the distance light travels in 1/(3 x 108) second

Page 17: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Which of the following formulas is dimensionally consistent with an expression yielding a value for acceleration (v is velocity, x is distance, and t is time)?

a. v/t2

b. v/x2

c. v2/t

d. v2/x

Page 18: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Which of the following formulas is dimensionally consistent with an expression yielding a value for acceleration (v is velocity, x is distance, and t is time)?

a. v/t2

b. v/x2

c. v2/t

d. v2/x→

Page 19: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Which point is nearest the y-axis?

a. (3,4)

b. (4,3)

c. (-5,2)

d. (-2,-5)

Page 20: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Which point is nearest the y-axis?

a. (3,4)

b. (4,3)

c. (-5,2)

d. (-2,-5)→

Page 21: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 10.5 x 8.8 x 3.14?

a. 290

b. 290.136

c. 290.1

d. 300

Page 22: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 10.5 x 8.8 x 3.14?

a. 290

b. 290.136

c. 290.1

d. 300

When multiplying or dividing numbers, keep the lowest number of significant figures.

Page 23: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

The speed of a boat is often given in knots. If a speed of 5 knots were expressed in the SI system of units, the units would be

a. m

b. s

c. m/s

d. kg/s

Page 24: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

The speed of a boat is often given in knots. If a speed of 5 knots were expressed in the SI system of units, the units would be

a. m

b. s

c. m/s

d. kg/s→

Page 25: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

If a is acceleration, v is velocity, x is position, and t is time, then which equation is not dimensionally correct?

a. t = x/v

b. a = v2 /x

c. v = a/t

d. t2 = 2x/a

Page 26: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

If a is acceleration, v is velocity, x is position, and t is time, then which equation is not dimensionally correct?

a. t = x/v

b. a = v2 /x

c. v = a/t

d. t2 = 2x/a→

Page 27: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Which one of the choices below represents the preferred practice regarding significant figures when adding the following: 21.4 + 15 + 17.17 + 4.003?

a. 57.573

b. 57.57

c. 57.6

d. 58

Page 28: If the displacement of an object, x, is related to velocity, v, according to the relation x = Av, the constant, A, has the dimension of which of the following?

Which one of the choices below represents the preferred practice regarding significant figures when adding the following: 21.4 + 15 + 17.17 + 4.003?

a. 57.573

b. 57.57

c. 57.6

d. 58→When adding or subtracting numbers, keep the lowest number of decimal places.