(10%) Problem 1: A puck of mass m = 0.055 kg is moving in a circle on a horizontal frictionless surface. It is held in its path by a massless string of length L = 0.44 m. The puck makes one revolution every t = 0.35 s. @theexpertta.com - .- -4. 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. $ 50% Part (a) What is the magnitude of the tension in the string, in newtons, while the puck revolves? Grade Summary F1 = N Deductions 5% Potential 95% sin( cosQ tan() 7 8 9 HOME Submissions cotand asin( acos() E 5 Attempts remaining: 11 atan acotan() sinh() 1 2 3 (5% per attempt) detailed view cosh() tanh() cotanh() END 1 5% Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 3 Feedback: 2% deduction per feedback. 4 50% Part (b) The string breaks suddenly. How fast, in meters per second, does the puck move away?(10%) Problem 2: A car with mass m = 1000 kg completes a turn of radius y = 620 m at a constant speed of v = 23 m/s. As the car goes around the turn, the tires are on the verge of slipping. Assume that the turn is on a level road, i.e. the road is not banked at an angle. Randomized Variables " = 620 m v = 23 m's @theexpertta.com - tracking ic 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 numeric value of the coefficient of static friction, , between the road and tires? Grade Summary AS = Deductions 5% Potential 95% sin() cos() tan() 7 8 9 HOME Submissions cotan( asin( acoso 4 6 Attempts remaining: 11 (5% per attempt) atan() acotan() sinh( 2 3 detailed view cosh() tanh() cotanh() T END 1 5% O Degrees O Radians BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback.(10%) Problem 3: Two blocks, which can be modeled as point masses, are connected by a massless string which passes through a hole in a frictionless table. A tube extends out of the hole in the table so that the portion of the string between the hole and Mj remains parallel to the top of the table. The blocks have masses M1 = 1.3 kg and My = 2.9 kg. Block 1 is a distance y = 0.55 m from the center of the frictionless M, surface. Block 2 hangs vertically underneath. Otheexpertta.com @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 50% Part (a) Assume that block two, My, does not move relative to the table and that block one, My: is rotating around the table. What is the speed of block one, M1; in meters per second? Grade Summary m's Deductions Potential 100 sin cos tan( 8 9 HOME Submissions cotan asin( acos() 4 5 6 Attempts remaining: atan( acotan sinh() (5% per attempt) 2 3 detailed view cosh tanh() cotanh( END O Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. A 50% Part (b) How much time, in seconds, does it take for block one, My, to make one revolution?(10%) Problem 4: A baseball of mass m = 0.33 kg is spun vertically on a massless string of length _ = 0.79 m. The string can only support a tension of max = 9./ N before it will break. Randomized Variables m = 0.33 kg L = 0.79 m Imax = 9.1 N V 4 m X Otheexpertta.co @theexpertta.com - tracking id: .. 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 50% Part (a) What is the maximum possible speed of the ball at the top of the loop, in meters per second? Grade Summary Vtmax= Deductions Potential 100 sin cos() tan( 7 HOME Submissions cotan( asin() acos E 4 5 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: 1 Feedback: 2% deduction per feedback. A 50% Part (b) What is the maximum possible speed of the ball at the bottom of the loop, in meters per second?(10%) Problem 5: A common carnival ride, called a gravitron, is a large cylinder in which people stand against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers and the people are surprised that they don't slide down. Suppose the radius of the cylinder is y = 18 m, and the friction between the wall and their clothes is u, = 0.59. Consider the tangential speed v of the ride's occupants as the cylinder spins. @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 50% Part (a) What is the minimum speed, in meters per second, that the cylinder must make a person move at to ensure they will "stick" to the wall? Grade Summary Vmin = Deductions 0% Potential 100% sin( cos( tan( 7 8 9 HOME Submissions cotan( ) asin( acoso) E 4 5 Attempts remaining: 12 5% per attempt) atan() acotan sinh( 2 3 detailed view coshQ tanh() cotanh() + END O Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 3 Feedback: 2% deduction per feedback. A 50% Part (b) What is the frequency fin revolutions per minute of the carnival ride when it has reached the minimum speed to "stick" someone to the wall?(10%) Problem 6: If a car takes a banked curve at less than a given speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads). @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 50% Part (a) Calculate the minimum speed, in meters per second, required to take a 96 m radius curve banked at 130 so that you don't slide inwards, assuming there is no friction. Grade Summary Vmin Deductions 0% Potential 100% sin( cos() tan() 7 8 9 HOME Submissions cotan() asin() acos() F 4 5 6 Attempts remaining: 12 (5% per attempt) atan( acotan sinh() 1 2 3 detailed view cosh( tanh() cotanh() + 0 END O Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 3 Feedback: 2% deduction per feedback A 50% Part (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 18 km/h?(10%) Problem 7: The Sun orbits the center of the Milky Way galaxy once each 2.60 x 10 years, with a roughly circular orbit averaging 3.00 x 10# light years in radius. (A light year is the distance traveled by light in 1 y.) @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 50% Part (a) Calculate the centripetal acceleration of the Sun in its galactic orbit in m/s-. Grade Summary a = Deductions 0% Potential 100% sin( cos( tan( 7 8 9 HOME Submissions cotan() asin( acos() 4 5 6 Attempts remaining: 12 (5% per attempt atan( acotan() sinh( 2 3 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: 2 Feedback: 2% deduction per feedback. A 50% Part (b) Calculate the average speed of the Sun in its galactic orbit in m's.[10%] Problem 8: A satellite m = 500 kg orbits the earth at a distance d: ISU km: above the surface ofthe planet. The radius ofthe earth is r3 = 6.38 X 106 n1 and the gravitational constant G = 6.6? X 10'\" N 1112.1:g2 and the Earth's mass is ME = 5.98 X 1024 kg. 3, \"hat is the speed of the satellite in m 5'? 1;: come we mm mo '3. Degrees C'- Radians Submit | Hint I I give up! Hints: deduction. pet him. Hints remaining: _ Feedback: deduction per feedback. Grade Summary Deductions Potential 100% Submissicms Attempts remaining: _ 1 per attempt) H detailed View (10%} Problem 9: A geosg-'nchronous satellite moves in a circular orbit around the Earth and completes one circle in the same time 3' during which the Earth completes one revolution around its own axis. The satellite has mass m and the Earth has mass Jr! and radius R. In order to be geosynchronous= the satellite must be at a certain height is above the Earth's surface. .i. 50% Part [a] Derive an expression for it in terms of m: M: R, Tand constants. {'1 {'1 y. y. I Igive up! Grade Summary Deductions Potential 100% R Submissions Attempts remaining: _ L per mm) detailed vie'n' Hints: deduction per hint. Hints remaining: _ Feedback: deduction per feedback. m 50% Part (b) Calculate the numerical value for h in meters. (10%) Problem 10: Planet A has mass 3M/ and radius R, while Planet B has mass 4M/ and radius 2R. They are separated by center-to-center distance 8R. A rock is released halfway between the planets' centers 8R at point O. It is released from rest. Ignore any motion of the planets. 2R R Oo 3M 4M Planet A Planet B Otheexpertta.com @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 33% Part (a) Enter an expression for the magnitude of the acceleration of the rock immediately after it is released, in terms of M. R, and the gravitational constant, G. Grade Summary a: Deductions 0% Potential 100% 7 8 9 HOME Submissions d G 4 5 6 Attempts remaining: 12 h 1 J 2 3 5% per attempt) detailed view 1 M END P R t VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback A 33% Part (b) Calculate the magnitude of the rock's acceleration, in meters per second squared, for M= 8.6*10- kg and R = 4.1x10 m. A 33% Part (c) Toward which planet is the rock's acceleration directed