Practice(Questions((The$following$questions$are$designed$for$your$practice$only$to$help$you$master$the$necessary$skills$to$use:$1)$Kepler’s$3rd$Law$2)$Newtonian$Gravity$3)$Wein’s$Law$(of$Thermal$Radiation)$4)$Stefan-Boltzmann’s$Law$(of$Thermal$Radiation)$$An$answer$key$to$these$questions$has$been$provided$on$blackboard.$$Remember$for$quizzes$and$examinations,$you$must$include$the$unit$to$receive$full$credit.$$Kepler’s(3rd(Law(Use(the(information(provided(in(the(following(graphics(to(solve(for(either(the(orbital(period(or(the(semi-major(axis(for(the(planets.((In(both(questions(assume(that(the(star(is(identical(to(the(Sun(meaning(that(Kepler’s(3rd(Law(can(be(used.((1)(The(Painter(Star(System.(Solve(for(the(planets’(semimajor(axis(distances,(a.((((2)(The(Musician(Star(System.(Solve(for(the(planets’(orbital(periods,(P.((Newtonian(Gravity(The(following(questions(use(Newton’s(Force(of(Gravity(Equation.((They(require(you(to(determine(whether(the(gravity(is(going(to(become(stronger,(weaker,(or(stay(the(same.((For(each(question,(you(are(given(the(change(to(masses((denoted(m1(and(m2)(and(the(change(in(the(distance,(R.(Example(of(notation:(A(change(in(mass(1(indicated(by(m1(->(3*m1.(This(indicates(that(in(the(new(situation,(mass(1(is(three(times(larger).(Example(of(notation:(A(change(in(distance(R(is(indicated(by(R(->(7*R.(This(indicates(that(in(the(new(situation,(the(masses(are(now(seven(times(further(apart.(3. Please(indicate(whether(or(not(the(force(of(gravity(between(the(two(masses(in(the(new(situation(is:((STRONGER( ( ( By(how(much?((((((((((((((8((times((((((((((((.((m1(->(2*m1( ( m2(->(4*m2( ( No(change(in(R(((((((4. Please(indicate(whether(or(not(the(force(of(gravity(between(the(two(masses(in(the(new(situation(is:((STRONGER( ( ( By(how(much?((((((((((((((15(times(((((((((((((.((m1(->(5*m1( ( m2(->(3*m2( ( No(change(in(R((((((5. Please(indicate(whether(or(not(the(force(of(gravity(between(the(two(masses(in(the(new(situation(is:((WEAKER( ( ( By(how(much?((((((((((((((16(times(((((((((((((.((No(change(in(m1(and(m2( ( R(->(4*R((((((6. Please(indicate(whether(or(not(the(force(of(gravity(between(the(two(masses(in(the(new(situation(is:((STRONGER( ( ( By(how(much?((((((((((((((16(times(((((((((((((.((No(change(in(m1(and(m2( ( R(->(1/4(*R((((((((7. Please(indicate(whether(or(not(the(force(of(gravity(between(the(two(masses(in(the(new(situation(is:((WEAKER( ( ( By(how(much?((((((((((((((121(times(((((((((((((.((No(change(in(m1(and(m2( ( R(->(11*R((((((((8. Please(indicate(whether(or(not(the(force(of(gravity(between(the(two(masses(in(the(new(situation(is:((SAME( ( ( By(how(much?((((((((((((((Same(((((((((((((.(((((((((((((((m1(->(2*m1( ( m2(->(8*m2( ( R(->(4*R(((((((9. Please(indicate(whether(or(not(the(force(of(gravity(between(the(two(masses(in(the(new(situation(is:((WEAKER( ( ( By(how(much?((((((((((((((110/144(times(((((((((((((.((m1(->(11*m1( ( m2(->(10*m2( ( R(->(12*R((Wein’s(Law(The(following(questions(require(you(to(use(Wein’s(Law(of(thermal(radiation.((For(questions(10(–(13,(use(the(following(information:((The(blackbody(spectrum(of(Planet(Shakespeare(has(a(peak(wavelength(at(6(µm.(10. Planet(Beckett(is(TWO(TIMES(HOTTER(than(Shakespeare.((What(is(the(peak(wavelength(for(Beckett’s(blackbody(spectrum?((B)(3(µm( ((11. Planet(Shaw(is(THREE(TIMES(HOTTER(than(Shakespeare.((What(is(the(peak(wavelength(for(Shaw’s(blackbody(spectrum?((B)(2(µm(((12. Planet(Miller(is(HALF(AS(HOT(as(Shakespeare.((What(is(the(peak(wavelength(for(Miller’s(blackbody(spectrum?((D)(12(µm((13. Planet(Chekhov(is(ONE(QUARTER(AS(HOT(as(Shakespeare.((What(is(the(peak(wavelength(for(Chekhov’s(blackbody(spectrum?((D)(24(µm( ((For(questions(14(&(15,(use(the(following(information:((Planet(Marlowe(has(a(surface(temperature(of(300(K.((14. Planet(Stoppard’(blackbody(peaks(at(half(the(wavelength(of(Shakespeare’s.((What(is(the(surface(temperature(of(Stoppard?((D)(600(K(((((15. Planet(Wilde’s(blackbody(peaks(at(five(times(the(wavelength(of(Shakespeare’s.((What(is(the(surface(temperature(of(Wilde’s?((A)(60(K((((Stefan(Boltzmann’s(Law(The(following(questions(require(you(to(use(Stefan(Boltzmann’s(Law(of(thermal(radiation.(16. Planet(Churchill(is(FOUR(TIMES(HOTTER(than(Planet(Lincoln.((How(much(more(energy(per(square(meter((per(second)(is(Planet(Churchill(giving(off(compared(to(Planet(Lincoln?((E)(256(times(((((17. Star(Caesar(is(TEN(TIMES(HOTTER(than(Star(Augustus.((How(much(energy(per(square(meter((per(second)(is(Caesar(giving(off(compared(to(Augustus?((E)(10000(x((((18.
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