Prentice Hall Physics Review Book 2015 Answer Key

iii.

$5\times {\text{10}}^7\text{rotations}$

8.

(a) 33.3 rad/s

(b) 500 Northward

(c) twoscore.eight m

12.

$\mathrm{iv}\times {\text{ten}}^{\text{21}}\text{yard}$

14.

a) $\mathrm{three}.\text{47}\times {\text{x}}^{\text{4}}\text{g}/{\text{due south}}^2$ , $3.\text{55}\times {\text{ten}}^{\text{iii}}g$

b) $51.\text{i}\text{chiliad}/{\text{due south}}^{}$

16.

a) $\text{31.iv rad/south}$

b) $\text{118 m/s}$

c) $\text{384 m/s}$

d)The centripetal dispatch felt by Olympic skaters is 12 times larger than the acceleration due to gravity. That's quite a lot of acceleration in itself. The centripetal acceleration felt by Button's nose was 39.two times larger than the acceleration due to gravity. It is no wonder that he ruptured small blood vessels in his spins.

18.

a) 0.524 km/due south

b) 29.vii km/southward

20.

(a) $\text{1.35}\times {\text{ten}}^{\text{3}}\text{rpm}$

(b) $\text{8.47}\times {\text{10}}^{\text{three}}{\text{m/s}}^{\text{2}}$

(c) $\text{8.47}\times {\text{10}}^{\text{–12}}\text{Due north}$

(d) $\text{865}$

21.

(a) $\text{23.iv}\text{grand/s}$

(b) $\text{39.two}\text{m}/{\text{s}}^2$

(c)

(d) $\text{2}.\text{9399}\times {\text{10}}^{\mathrm{three}}\text{Due north or 5}.\text{00}\mathrm{west}$ , that is, the normal force (upwards) is five times her weight.

(east) This respond seems reasonable, since she feels like she'south being forced into the chair MUCH stronger than just by gravity.

22.

a) $\text{40}.5\text{m}/{\text{s}}^{\mathrm{ii}}$

b) 905 N

c) The force in function (b) is very large. The acceleration in part (a) is too much, about 4 g.

d) The speed of the swing is too large. At the given velocity at the bottom of the swing, there is enough kinetic energy to ship the child all the way over the top, ignoring friction.

23.

a) 483 Northward

b) 17.4 Due north

c) two.24 times her weight, 0.0807 times her weight

25.

$4\text{.}\text{14º}$

27.

a) 24.6 m

b) $\mathrm{36.six\; m}/{\text{s}}^2$

c) $a_{\text{c}}=\mathrm{three.73}\mathrm{g.}$ This does non seem as well large, but it is clear that bobsledders feel a lot of force on them going through sharply banked turns.

29.

a) two.56 rad/s

b) $\mathrm{v.71º}$

32.

a) 1.84

b) A coefficient of friction this much greater than one is unreasonable .

c) The assumed speed is too groovy for the tight bend.

33.

a) $\mathrm{five.979}\times {\text{x}}^{\text{24}}\text{kg}$

b) This is identical to the all-time value to 3 significant figures.

35.

a) $1.62\text{m}/{\text{southward}}^{\mathrm{two}}$

b) $\mathrm{iii.75}\text{thousand}/{\text{south}}^{\mathrm{ii}}$

37.

a) $3.42\times {\text{ten}}^{\text{–5}}\text{thou}/{\text{southward}}^2$

b) $3.34\times {\text{10}}^{\text{–5}}\text{m}/{\text{s}}^2$

The values are nearly identical. One would expect the gravitational force to be the same as the centripetal force at the core of the system.

39.

a) $\mathrm{seven.01}\times {\text{10}}^{\text{–7}}\text{Northward}$

b) $1.35\times {\text{10}}^{\text{–six}}\text{N}$ , $0.521$

41.

a) $1.66\times {\text{x}}^{\text{–10}}\text{thousand}/{\text{due south}}^2$

b) $\mathrm{ii.17}\times {\text{10}}^{\text{5}}\text{m/s}$

42.

a) $2.94\times {\text{10}}^{\text{17}}\text{kg}$

b) $4.92\times {\text{10}}^{\text{–8}}$

of the Earth'south mass.

c) The mass of the mountain and its fraction of the Earth'south mass are besides great.

d) The gravitational force assumed to be exerted past the mountain is too great.

44.

$1.98\times {\text{x}}^{\text{thirty}}\text{kg}$

46.

$\frac{{\mathrm{Yard}}_J}{M_{\mathrm{East}}}=\text{316}$

48.

a) $7400\text{grand/s}$

b) $1\text{.}\text{05}\times {\text{10}}^3\text{m/south}$

c) $2\text{.}\text{86}\times {\text{10}}^{-7}\text{due south}$

d) $\mathrm{i}\text{.}\text{84}\times {\text{10}}^7\text{N}$

due east) $2\text{.}\text{76}\times {\text{10}}^{\mathrm{iv}}\text{J}$

49.

a) $\mathrm{five}\text{.}\text{08}\times {\text{x}}^3\text{km}$

b) This radius is unreasonable considering it is less than the radius of earth.

c) The premise of a one-60 minutes orbit is inconsistent with the known radius of the globe.

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Source: https://openstax.org/books/college-physics-ap-courses/pages/chapter-6

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