(8%) Problem 4: A skateboarder is attempting to make a circular arc of radius y = 12 m in a parking lot. The total mass of the skateboard and skateboarder is m = 78 kg. The coefficient of static friction between the surface of the parking lot and the wheels of the skateboard is u, = 0.58 . r m @theexpertta.com accordance with Expert TA's Terms of Service. copying this information to Otheexpertta.com any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. A 50% Part (a) What is the maximum speed, in meters per second, he can travel through the arc without slipping? Grade Summary Vm = m/s Deductions 0% Potential 100% sin( cos tan( I 7 9 HOME Submissions cotan() asin( acoso E 4 Attempts remaining: 12 atan() acotan() sinh (5% per attempt 2 3 detailed view cosh() tanh() cotanh() 0 END O Degrees O Radians VO BACKSPACE INEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 4 Feedback: 2% deduction per feedback. 4 50% Part (b) He speeds up very slightly and begins to slide. The coefficient of kinetic friction is ux = 0.23. What is the new magnitude, in meters per squared second, of his radial acceleration?(8%) Problem 3: A moped is traveling at a constant speed v when it comes upon a circular hill of radius 7 = 339 m. The driver and moped combined have mass m = 127 kg. The drawing below is not to scale. y @theexpertta.com - 4 accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. A 50% Part (a) What speed in, in meters per second, does the moped have if the driver feels weightlessness, i.e., has an apparent weight of zero, at the top of the hill? Grade Summary U = m/s Deductions 09 Potential 100% sin( cos() tan( 7 8 9 HOME Submissions cotan() asin acos() F 4 5 6 Attempts remaining: 1 (5% per attempt) atan() acotan( sinh() 1 2 3 detailed view cosh() tanh() cotanh( ) 0 END O Degrees O Radians VO CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 3 Feedback: 2% deduction per feedback 4 50% Part (b) If the driver is traveling at the speed above and comes upon a hill with a radius 2r, then what is the apparent combined weight, in newtons, of both the driver and the moped at the top of the hill?(8%) Problem 2: Two blocks are joined by a massless string that passes through the center of a rotating turntable, as shown in the diagram. The blocks have masses Mi = 1.3 kg and My = 2.4 kg. Block 1 rests a distance y = 0.44 m from the center of the turntable. The coefficient of static friction between block and turntable is us = 0.65. Block 2 hangs vertically below. M, M, Otheexpertta.com @theexpertta.com - tr- " accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. A Find the speed of circular motion at which block 1 just begins to slip outward along the surface of the turntable. Enter your answer in meters per second. Grade Summary V= Deductions Potential 100 sin( cos() tan( 7 S 9 HOME Submissions cotan() asin( acoso F Attempts remaining: atan() acotan() sinh() 3 5% per attempt) detailed view cosho tanh() cotanh() END O Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 5 Feedback: 2% deduction per feedback.(8%) Problem 10: On the surface of the Moon an astronaut has a weight of F = 170 N. The radius of the Moon is Ro = 1.74 x 10 m, the gravitational constant is G = 6.67 x 10-1 N (m/kg) and the mass of the Moon is Mm = 7.35 x 10-kg. @theexpertta.com In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. DA Calculate the mass of the astronaut, m, in kilograms. Grade Summary m = Deductions 0% Potential 100% sin() cosO) tan( T 7 8 9 HOME Submissions cotan() asin acos() F 4 5 6 Attempts remaining: 12 atan() acotan( sinh() 1 (5% per attempt) 2 3 detailed view cosh( tanh() cotanh() + END O Degrees O Radians VC BACKSPACE INEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback(8%) Problem 5: A rock of mass m = 0.99 kg is attached to a massless string of length _ = 0.89 m. The rock is swung in a vertical circle faster and faster up to a speed of v = 1.6 m's, at which time the string breaks. This occurs when the string is horizontal as shown in the figure. Break Otheexpertta. @theexpertta.com - accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. A 50% Part (a) What is the magnitude of the tension, in newtons, at which the string breaks? Grade Summary If= Deductions Potential sin cosO tan( 7 9 HOME Submissions cotan( asin() acoso F 4 5 6 Attempts remainit atan( ) acotan( sinh( 2 3 (5% per attempt) detailed view cosho tanh() cotanh( T 0 END O Degrees O Radians VO BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 3 Feedback: 2% deduction per feedback. A 50% Part (b) How high, in meters, does the rock travel? Use a value of h = 0 at the location of the break.(8%) Problem 7: A 19.5 kg child is riding a playground merry-go-round that is rotating at 38.1 rev/min. @theexpertta.com - ... . In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. A 25% Part (a) What net force is acting on her if she is standing on the merry-go-round 1.25 m from its center in newtons? The net force in this situation is sometimes called "centripetal force" Grade Summary Fo,1= Deductions 0% Potential 100% sin( cos tan( 7 8 9 HOME Submissions cotan( asin( acoso F 4 6 Attempts remaining: 12 atan( acotan( sinh( 2 3 (5% per attempt detailed view cosh( tanh() cotanh( + 0 END O Degrees O Radians BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. A 25% Part (b) What net force (in N) is acting on her if she is standing on an amusement park merry-go-round that rotates at 2.2 rpm and she is 9.7 m from its center? A 25% Part (c) How many times her weight is the force in part (a)? A 25% Part (d) How many times her weight is the force in part (b)?(8%) Problem S: Object 1 with my = 2.5 kg and Object 2 with my = 14.5 kg are separated by r = 0.42 m. - m , m 2 @theexpertta.com " accordance with Expert TA's Terms of Service. copying this Otheexpertta.com information to any solutions soaring website is strictly forbidden. Doing so may result in termination of your Expert TA Account. A 50% Part (a) Express the magnitude of the gravitational force F in terms of my, my, r, and the gravitational constant G. Grade Summary F = Deductions Potential 1009% ( 7 8 9 HOME Submissions e d G 4 5 6 Attempts remaining: i J 2 3 (5% per attempt) detailed view m m1 END t BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 4 Feedback: 2% deduction per feedback. A 50% Part (b) Calculate the magnitude of F in N.[8%) Problem 9: A satellite is located 280' km above Earth. Earth. gave = Hints: deduction per hint. Hints remaining: @ Degrees C'- Submit | I I give up! Feedback: deduction per 'eedbaclc. .3, Find the ratio of the acceleration due to gravity at the position of a satellite located 289 km above the earth's surface to the freefall acceleration at the surface of Grade Summary Deductions Potential 100% Submissions Attempts remaining: _ t per attempt) u detailed view (8%) Problem 11: The center of a moon of mass m = 1 x 10- kg is a distance D = 21 x 10- km from the center of a planet of mass M= 13.4 x 10- kg. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero. @theexpertta.com - In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doi so may result in termination of your Expert TA Account. A 50% Part (a) Derive an expression for x. O O Grade Summary Deductions Potential 100 M M Submissions x = D X = D x = D - m Attempts remaining m M+m 1+M (20% per attempt) detailed view O O O x = D M M X = D X = D 1+ m m+1 m M Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 4 Feedback: 2% deduction per feedback. 50% Part (b) Calculate x in kilometers, given the variables in the beginning of the problem.(8%) Problem 12: The Sun has a mass of 1.99 x 10- kg and a radius of 6.96 x 10 m. @theexpertta.com - In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidd so may result in termination of your Expert TA Account. A 50% Part (a) Calculate the acceleration due to gravity, in meters per square second, on the surface of the Sun. Grade Summ Sun Deductions Potential sin cos() tan( 7 8 9 HOME Submissions cotan( asin() acos() 4 Attempts rem 3 (5% per atten atan( acotan() sinh( 1 2 detailed view cosh() tanh() cotanh() T END O Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 2% deduction per feedback. A 50% Part (b) By what factor would your weight increase if you could stand on the Sun?(8%) Problem 1: NASA uses a plane often called the "vomit comet" to simulate the weightlessness of space in astronaut training. It moves in circular arcs at a speed of v = 222 m/s. @theexpertta.com - tracking . - --. in accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. What is the radius, in meters, of the arcs that the pilot must fly to create weightlessness as they go around the top of the circular arc? Grade Summary m Deduction 09 Potential 100% sin( cos( tan( 7 8 9 HOME Submissions cotan( asin( acoso 4 5 6 Attempts remaining: 12 atan( acotan inh( 1 2 3 (5% per attempt) detailed view cosh( anh() cotanh( END 9 Degrees @ Radians VO BACK ACE CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 3 Feedback: 2% deduction per feedback