) 1.5"10 11 m. ( )( 1.99 "10 30 kg)

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Jody Campbell
5 years ago
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1 Exaple 1: a.) What i the foce of gaity between a gazelle with a a of 100 kg and a lion with a a that i 50 kg if the lion i lying in wait 100 ete fo the gazelle? b.) What would happen to the foce of gaity between the gazelle and the lion if the ditance inceaed to 00 ete? Exaple 1: a.) 1 = 100, 1 =? b.) = 00, =? 1 = 100 kg and = 50 kg 1 = G 1 = N 100 kg) 1 kg * 50 kg ) ) 100 ) = G 1 = N = N 100 kg) kg * 50 kg ) ) 00 ) = N = Rotational Motion 1 Exaple : Two ae 1 and ae epaated by a ditance. The foce of gaitational atttion between the two ae i F 1. If 1 i doubled, tipled, and i haled, what i the new gaitational atttion F in te of the oiginal foce F 1? Exaple : F 1 = G 1 F = G 1 F = )G F = ) 4)G 1 F = 4G 1 F = 4F 1 Rotational Motion Exaple : Exaple : What i the gaitational foce between the Eath and the Sun? M S = 1.99 x 10 0 kg, M E = 5.98 x 10 4 kg and = 1.5 x 1011 ) M E = kg, M S = kg, = , =? = G M E M S kg) = N kg kg * ) =.510 N Rotational Motion 5

2 Exaple 4: M P = kg, = 85 kg, and = Exaple 4: a.) What i the weight of 85 kg peon on the ufe of Pluto? M P = 1. x 10 kg and = 1.15 x 10 6 ) b.) Find the gaitational contant on the ufe of Pluto. Rotational Motion 7 a.) =? = G M P 85 kg = N kg kg * ) = 51.4 N b.) g P =? = G M P = g P g P = G M P g P = N kg kg * ) g P = 0.61 Exaple 5: Find the peed of a atellite that would obit Ma 00 k aboe it ufe. M M = 6.4 x 10 kg and R M =.8 x 10 6 ) Exaple 6: How any inute would it take a atellite to obit Eath 150 k aboe it ufe? M E = 5.98 x 10 4 kg and R E = 6.7 x 10 6 ) Exaple 5: =? R M M M = kg, R M = , and d = 00 k d = R M + d = G M M = = = G M M G M M R M + d = = N kg kg * ) = 459 Rotational Motion 9 Exaple 6: M E = kg, R E = , and d = 150 k T =? R E d = R E + d = G M E = T = T = = G M E = = T = R E + d) ) T = N ) kg kg * T = 58 = 87. in Exaple 7: Neptune equie 165 yea to cicle the Sun. Find Neptune obital adiu uing Keple thid law. The obital adiu fo the Eath aound the Sun i 1.5 x Rotational Motion 1

3 Exaple 7: T E = 1 y, = 165 y, E = , N =? T E T E = N E = N N = E E T E Exaple 8: The ean ditance fo Satun to the Sun i 9 tie geate than the ean ditance fo Eath to the Sun. How any Eath yea i a Satun yea? N = y 1 y N = Rotational Motion 14 Exaple 8: S = 9 E and T E = 1 y, T S =? T S T E = S E T S = S T E E T S = T E S E 9 T S = T E = E 1 y) 9) E Exaple 9: How uch tenion i in a ting connected to a 0.5 kg ball that i being wung in hoizontal cicle with a adiu of 1.5 ete, if the ball ake two eolution pe econd? T S = 7 y Rotational Motion 16 Exaple 9: = 0.5 kg, = 1.5, and = e, T =? T = e 1.5 ) = e T = T = 0.5 kg) 1.5 T = 59. N Exaple 10: A.0 kg ock i atthed to the end of a 1.5 cod with negligible a and wung in a etical cicle at an angula peed of 1.50 e/. a.) Find the centipetal celeation of the ock. b.) Find the highet and lowet alue of the tenion in the cod. c.) What i the iniu peed needed in ode fo the ock to coplete icula path? Rotational Motion 18

4 Exaple 10: a.) =? b.) T ax =? and T in =? T ax T ax = T ax = + T ax = + g botto) T ax = + g) T ax = 86 N =.0 kg, = 1.5, and = 1.5 e T ax =.0 kg) and = 1.5 e 1.5 ) a = c = 1 e = = top) T in T in + = T in = T in = g T in = g) T in =.0 kg) T in = 47 N Exaple 10: =.0 kg, = 1.5, and = 1.5 e c.) iniu peed to coplete cicle =? The iniu peed i when T = 0. The happen at the top whee : T = g) 0 = g g = 0 = g = ) =.8 Exaple 11: A gil ha a a of 65 kg and i iding on The Deon at Geat Aeica. She expeience an celeation of 15.0 / at the top of the loop. What i the noal foce? i.e., How uch foce i puhing he ea end into the eat?) Rotational Motion 1 Exaple 11: Rolle coate loop) = 65 kg and = 15 at the top of the loop =? + = = = g = g) = 65 kg) = 8 N Exaple 1: = 75 kg, = 5, D = 0 o = 15 Rolle coate loop) at the botto of the loop =? Exaple 1: How uch foce would you feel againt you deièe at the botto of a olle coate loop with a diaete of 0 ete if you a i 75 kg and the olle coate ca i taeling at 5 /? Rotational Motion = = + = + g = + g 5 and = 75 kg) = 860 N

5 Exaple 1: a.) How uch foce would you feel againt you deièe at the top of a Fei wheel with a adiu of 0 ete if you a i 80 kg and the Fei wheel peed i 15 /? Exaple 1: Fei Wheel) = 80 kg, = 15, and = 0 a.) at the top of the ide =? b.) Auing the ae condition a in a), what foce would you feel at the botto of the ide? c.) What i the axiu peed fo the Fei wheel? Rotational Motion 5 = = = g = g and = 80 kg) = 184 N Exaple 1: Fei Wheel) = 80 kg, = 15, and = 0 b.) at the botto of the ide =? Exaple 1: Fei Wheel) = 80 kg, = 15, and = 0 c.) axiu afe peed =? = = + = + g = + g 15 and = 80 kg) = 184 N The axiu afe peed i when = 0. The happen at the top whee : = g 0 = g g = 0 = g = ) = Exaple 14: A flat cue on a highway ha adiu of 40. A ca ound the cue at a peed of /. What i the iniu coefficient of fiction that will peent kidding. Rotational Motion 9 Exaple 14: Cued Road) F f F y = a = 0 = = g = 40 and = µ =? F x = a F f = µ = µg = µ = g µ = = g g µ = ) and µ = 0.44

Example 1. Centripetal Acceleration. Example 1 - Step 2 (Sum of Vector Components) Example 1 Step 1 (Free Body Diagram) Example

Example 1. Centripetal Acceleration. Example 1 - Step 2 (Sum of Vector Components) Example 1 Step 1 (Free Body Diagram) Example 014-11-18 Centipetal Aeleation 13 Exaple with full olution Exaple 1 A 1500 kg a i oing on a flat oad and negotiate a ue whoe adiu i 35. If the oeffiient of tati fition between the tie and the oad i 0.5,