Question 1

A hospital stores blood plasma at a density of $$1050 \ \mathrm{kg/m^3$}. $$What is this density in $$\mathrm{g/cm^3$}$$?

Accepted Answer

$$1.05 \ \mathrm{g/cm^3$}$$

Question 2

A bottle contains $$3.00 \ \mathrm{L} of $$drinking water. How many kilograms of water does it contain? (Assume the density of water is $$1.00 \ \mathrm{kg/L}.)$$

Accepted Answer

$$3.00 \ \mathrm{kg}$$

Question 3

A rocket fires two engines simultaneously. One produces a thrust of $$805 \ \mathrm{N}$$ directly forward while the other gives a thrust of $$477 \ \mathrm{N} at an $$angle of $$23.0^\circ$$ above the forward direction. What is the magnitude of the resultant force?

Accepted Answer

$$1260 \ \mathrm{N}$$

Question 4

A vector $$\vec{A}$$ has components $$A_x = 4.00 \ \mathrm{m}$$ and $$A_y = 8.00 \ \mathrm{m}. $$What is the magnitude of $$\vec{A}$$?

Accepted Answer

$$8.94 \ \mathrm{m}$$

Question 5

A dog owner pulls on a leash with a force of $$18.0 \ \mathrm{N} at an $$angle of $$39.0^\circ$$ above the horizontal. What is the horizontal component of the force tending to pull the dog forward?

Accepted Answer

$$14.0 \ \mathrm{N}$$

Question 6

A vector $$\vec{A}$$ has components $$A_x = 7.00 \ \mathrm{N}$$ and $$A_y = 12.0 \ \mathrm{N}. $$What is the magnitude of $$\vec{A}$$?

Accepted Answer

$$13.9 \ \mathrm{N}$$

Question 7

A vector $$\vec{A}$$ has components $$A_x = 24 \ \mathrm{m/s}$$ and $$A_y = -31 \ \mathrm{m/s}. $$What is the counterclockwise angle $$	heta it $$makes with the $$+x$$ axis?

Accepted Answer

$$232^\circ$$

Question 8

A vector $$\vec{A}$$ has components $$A_x = 1500 \ \mathrm{km}$$ and $$A_y = 2300 \ \mathrm{km}. $$What is the counterclockwise angle $$	heta it $$makes with the $$+x$$ axis?

Accepted Answer

$$123^\circ$$

Question 9

A vector $$\vec{A}$$ has components $$A_x = 70.9 \ \mathrm{N}$$ and $$A_y = 52.5 \ \mathrm{N}. $$What is the magnitude of $$\vec{A}$$?

Accepted Answer

$$88.2 \ \mathrm{N}$$

Question 10

A vector $$\vec{A}$$ has components $$A_x = 9.0 \ \mathrm{lb}$$ and $$A_y = 5.0 \ \mathrm{lb}. $$What is the counterclockwise angle $$	heta it $$makes with the $$+x$$ axis?

Accepted Answer

$$29^\circ$$

Question 11

A vector $$\vec{A}$$ has components $$A_x = 7.00 \ \mathrm{m/s}$$ and $$A_y = -18.0 \ \mathrm{m/s}. $$What is the magnitude of $$\vec{A}$$?

Accepted Answer

$$19.3 \ \mathrm{m/s}$$

Question 12

A vector $$\vec{A}$$ has components $$A_x = 7.00 \ \mathrm{m/s}$$ and $$A_y = -18.0 \ \mathrm{m/s}. $$What is the counterclockwise angle $$	heta it $$makes with the $$+x$$ axis?

Accepted Answer

$$-69.4^\circ$$

Question 13

A vector $$\vec{A}$$ has components $$A_x = 3.00 \ \mathrm{km}$$ and $$A_y = 6.00 \ \mathrm{km}. $$What is the magnitude of $$\vec{A}$$?

Accepted Answer

$$6.71 \ \mathrm{km}$$

Question 14

A vector $$\vec{A}$$ has components $$A_x = 3.00 \ \mathrm{km}$$ and $$A_y = 6.00 \ \mathrm{km}. $$What is the counterclockwise angle $$	heta it $$makes with the $$+x$$ axis?

Accepted Answer

$$63.4^\circ$$

Question 15

A vector $$\vec{A}$$ has components $$A_x = 480 \ \mathrm{N}$$ and $$A_y = 240 \ \mathrm{N}. $$What is the magnitude of $$\vec{A}$$?

Accepted Answer

$$536 \ \mathrm{N}$$

Question 16

A vector $$\vec{A}$$ has components $$A_x = 480 \ \mathrm{N}$$ and $$A_y = 240 \ \mathrm{N}. $$What is the counterclockwise angle $$	heta it $$makes with the $$+x$$ axis?

Accepted Answer

$$26.6^\circ$$

Fundamental Concepts in Physics: Units, Vectors, and Problem Solving

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