2022 PhysicsBowl Answers and Solutions - AAPT

1. A 2. B 3. C 4. B

5. B 6. D 7. E 8. C 9. B 10. E 11. E 12. C 13. A 14. D 15. D 16. C 17. E

18. C 19. B 20. D

2022 PhysicsBowl Answers and Solutions

KE1=KE2; ? m1 v12=? m2v22; v1=6.9 m/s

See:

=

2;

=

2

=

(

+

) ;

=

;

(+)

=

1 (

2

+

)

2

=

1 22 2 (+)

; W=( + )gx

v

=

v0

+ at ;

F

=

ma

The sum will not equal one of the magnitudes.

Violet: 380-430 nm, Blue: 430-500 nm, Cyan: 500-520 nm, Green: 520-565 nm, Yellow: 565-580 nm, Orange: 580-625 nm, Red: 625-740 nm

PV=nRT KE converted to gravitational potential energy, thermal energy, and work

=

2;

=

1

=

2 ;

=

;

=

2

See:

1.5 x 109 3.0 x 108 /

=

5

V=(l)(A); A=r2

tan =

1 = 260; 2 = 263; t=(n+1)T1=nT2

= ; = 2

In the absence of friction, all gravitational potential energy will be converted to kinetic energy at the bottom of the plane.

x

=

v0t

+

1 2

at

2

;

t=2

= ; = ; =

= ; = ; =

21. C 22. E

23. B 24. C 25. B

26. E 27. E 28. B 29. B 30. B 31. B 32. E 33. D 34. C 35. E 36. A 37. A

38. A 39. D 40. D 41. C 42. B

2

=

(1+2) (1+2+3)

= = 10 2; = 2; = 0 +

Fg

=G

m1m2 r2

;

Fe

=

k

q1q2 r2

= = +

With a one-wavelength path-length difference, crests will meet crests and troughs will meet troughs.

Only choice with correct values

=

=

1 2;

2

=

1 2

2

-

;

=

=

=

1 60

for

each

of

the

five

displacement

intervals.

1

=

2

=

0.7

;

2

=

0.35

;

=

1 2

22

= = 2 2 2

5

=

10log( );

0

0

=

10-12

2

= + = +

1= 1 +1

0

There is no dispersion in a glass block with parallel sides.

=

- 1 2

2

=

6 ;

=

20

- 16

=

4

;

=

- ;

=

+

2 2

With no resistance, V will be the same across both components.

=

2

+

(4)2;

tan

=

4 3

=

53;

180

-

53

=

127

3

11 = (0.8)22

11 = 22

1

2

= 2 ; = 5 ; V = IR; I = 24 A

43. B 44. C 45. B 46. B

47. A 48. D 49. C

50. C

11 = 22

()

=

0

(1)1/2

2

=

The electric fields are pointed in opposite directions (45o and 225o from the x-axis) and therefore cancel each other out. Since each arc is a collection of point charges located the same distance from the origin, then: = . Both arcs create

positive potentials, so = 2().

= - = -

Combination Z, with three resistors in parallel, offers the least amount of resistance. Combination X, with two resistors in parallel and one in series, offers the most resistance.

There are three main factors to consider here. The gravitational constant, G, the

mass of the sun, M, and the distance between the sun and the earth, R. The units of G are ()32, the units of M are kg, the units of R are m, and we want to solve

for time in seconds. Using dimensional analysis to solve for seconds, we

get

=

3

=

5.1

106

=

59

.

Using

calculus,

one

arrives

at

64.5 days.

= ; At the end of Stage 1: P=5.05 x 104 Pa, V=2 m3, and T=273.15 K. At The end of Stage 2, P=1.01 x 105 Pa, V=2 m3, and T=546.3 K. n=44.3 mol

through the entire problem. Work done in Stage 3: W3=P3(V1-V3).

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