(5%] Problem 1: A puck of mass m = 0.095 kg is moving in a circle on a horizontal frictionless surface. It is held in its path by a inassless string of length L = 6'. 5} n1. The puck makes one revolution every t = 6'. 65 s. (3' 5|)\" 0 Part (:11 \"that is the magnitude of the tension in the string= in newtons, While the puck revolves? F _ Grade Summary I _ Deductions Potential {-99% Late \"1311: % 50% Late Potential 50% Suhm issions Attempts remaining: _ per attempt] detailed View Submit | Hint Hints: deduction pet hint. Hints remaining: _ Feedback: deduction [JEI feedback. gm, 50. 53 Part [1.1) The string breaks suddenly-i How fast. in meters per second. does the puck move away"? (5%] Problem 2: A car with mass m = 1000 kg completes a turn ofiadius ?' = 350 in at a constant speed of r = 38 m."5_ As the car goes around the turn= the tires are on the verge of slipping. Assume that the turn is on a level IoacL i_e_ the road is not banked at an angle. Randomized Variables .7' = 350 In it = 33 in-'s Q, \"What is the numeric value of the coefcient of static friction: .145: between the road and tires? Hints: 'iii'Degi'ees {:3 Radians deduction per hint. Hinta remaining: _ Feedback: deduction per feedback. Grade Summary Deductions Potential 1-09-9- Late \"'ork % 50% Late Potential 50\"; Submissions Attempt; re:na.i11i.ng:_ per attempt] detailed View (5%} Problem 3: Two blocks. which can be modeled as point masses. are connected by a massless string which passes through a hole in a flittionless table. Ambe extends out of the hole in the table so that the portion of the string between the hole and 3:11 remains parallel to the top ofthe table. The blocks have masses M1 = 1.9 kg and ME = 2.9 kg. Block 1 is a distance r = 0.55 m 'om the center of the frictionless surface. Block 2 hangs vertically,r underneath. It '1EIu'.\\])rrltu.cn m .115, 50% Part (3} Assume that block two. M}. does not move relative to the table and that block one. JUL. is rotating around the table. What is the speed of block one. Mi in meters per second? 1' = I n1-'s Hints: deduction per hint. Hints remaining: Feedback: cle tincticn per feedback. Grade Summ ary Deductions Potential 1-9996 Late \"'ork % 50% Late Potential 50% Submissions Attempts remaining: per attempt] detailed View g 50% Part [13) How much time. in seconds: does it take for block one: M1. to make one revolution?i (5%) Problem 4: A baseball of mass m = 0.51 kg is spun vertically on a massless string of length L = 0.89 m. The string can only support a tension of Tmax = 9.1 N before it will break. Randomized Variables m = 0.51 kg L = 0.89 m Tmax = 9.1 N V 4 m X Otheexpertta.com & 50% Part (a) What is the maximum possible speed of the ball at the top of the loop, in meters per second? Grade Summary Vt,mar= Deductions 0% Potential 1009% Late Work % 50% sin( cos() tan( 7 8 9 HOME Late Potential 50% cotan() asin( acos() E 4 Submissions atan( acotan() sinh 2 3 Attempts remaining: 5 cosh() tanh() cotanh() 0 END (4% per attempt) detailed view 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. 4 50% Part (b) What is the maximum possible speed of the ball at the bottom of the loop, in meters per second?(5%} Problem 5: A common carnival ride= called a grmitrora 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 r = I: m, and the friction between the wall and their clothes is 3565 = t3. 5:. Consider the tangential speed v of the ride's occupants as the cylinder spins. .1155 '5')" 0 Part (3] \"-"hat is the minimum speed in meters per second that the cylinder must make a person more at to ensure they will "stick" to the wall? Grade Summary 11111-11 _ l Deductions Potential +99% Late \""1311: % 50% - _ Submissions _ detailed View Degrees Radians Hints: deduction per hint. Hints remaining: Feedback: deduction per feedback. g 50. 6 Part [13) What is the frequency f in revolutions per minute of the carnival ride when it has reached the minimum speed to "stick" someone to the wall? (5%) 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). 50% Part (a) Calculate the minimum speed, in meters per second, required to take a 96 m radius curve banked at 1/" so that you don't slide inwards, assuming there is no friction. Grade Summary Vmin Deductions Potential 100% Late Work % 50% sin() cos() tan( 7 8 9 HOME Late Potential 50% cotan( asin( acost E 4 5 6 Submissions atan() acotan() sinh( 3 Attempts remaining: 5 cosh( tanh() cotanh( + END (4% per attempt) detailed view 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 4 50% Part (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 25 km/h?(5%) 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.) 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% Late Work % 50% sin() cos() tan( 7 8 9 HOME Late Potential 50% cotan( asin acos() F 4 6 Submissions atan() acotan sinh( 2 3 Attempts remaining: 5 cosh() tanh() cotanh( + END (4% per attempt) detailed view O Degrees O Radians NO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. 4 50% Part (b) Calculate the average speed of the Sun in its galactic orbit in m's.(5%) Problem S: A satellite m = 500 kg orbits the earth at a distance d = 248 km, above the surface of the planet. The radius of the earth is r. = 6.38 x 10 m and the gravitational constant G = 6.67 x 10-ll N m /kg- and the Earth's mass is me = 5.98 x 102#kg. CA What is the speed of the satellite in m/s? Grade Summary V= Deductions 1% Potential 100% Late Work % 50% sin() cos() tan( 7 9 HOME Late Potential 50% cotan() asin( acos() 4 Submissions atan() acotan( ) sinh 2 13 Attempts remaining: 5 cosh() tanh() cotanh() + END (4% per attempt) detailed view O Degrees O Radians NO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 5 Feedback: 2% deduction per feedback.(5%) Problem 9: A geosynchronous satellite moves in a circular orbit around the Earth and completes one circle in the same time / during which the Earth completes one revolution around its own axis. The satellite has mass m and the Earth has mass Mand radius R. In order to be geosynchronous, the satellite must be at a certain height / above the Earth's surface. R M Otheexpertta.com A 50% Part (a) Derive an expression for h in terms of m. M. R. I and constants. O O Grade Summary Deductions 0% Potential 100% 3 GMT 3 GMT 3 GMT2 h = h = R h = Late Work % 50% R Late Potential 50% 2TT 417 2 Submissions O O O Attempts remaining: 5 (20% per attempt) GMT detailed view 3 3 GMT2 h = h = 3 GMT2 h = R 2 17 2 Submit Hint Feedback I give up! Hints: 19% deduction per hint. Hints remaining: 4 Feedback: 2% deduction per feedback. 4 50% Part (b) Calculate the numerical value for h in meters.(5%) 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 8R planets' centers 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 A 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 1% Potential 100% Late Work % 50% 7 9 HOME Late Potential 50% 4 6 Submissions 1 2 3 Attempts remaining: 5 + END (4% per attempt detailed view VO BACKSPACE DEL CLEAR Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. 4 33% Part (b) Calculate the magnitude of the rock's acceleration, in meters per second squared, for M= 7.9x1025 kg and R = 4.5x10 m. 4 33% Part (c) Toward which planet is the rock's acceleration directed?(5%) Problem 11: A boy is pulling his sister in a wagon, as shown in the figure. He exerts a force of F = 49.5 N at an angle of 30. F 30 OO Otheexpertta.com A How much work does the boy do pulling his sister, in joules, if he pulls her 31.5 m? Grade Summary W = Deductions 0% Potential 100% Late Work % 50% sin() cos() tan( 7 9 HOME Late Potential 50% cotan() asin acoso E 4 Submissions atan( acotan( sinh() 2 3 Attempts remaining: 5 cosh() tanh() cotanh( + 0 END (4% per attempt) detailed view ODegrees O Radians NO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback.(5%) Problem 12: A farmer is using a rope and pulley to lift a bucket of water om the bottom of a well that is P31. = 1'3 m deep. The farmer uses a force Ff = 56 N to pull the bucket of water directly upwards. The total mass of the bucket of water is m5 - m\". = 424' kg. D 53 25% Part (a) Select the correct free body diagram. [\"1 migi F1 mtg F1 mhg rung [\"1 C C J 1 \"lug m h g Submit Hint [:1 '3' -: deduction per hint. Hints remaining: " Feedback: :[E deduction per feedback. Grade Summary Deductions III] 1 Potential some Late \":ork % 50% Late Potential 50% Submissions Attempts remaining: 3 (2'2\" J per attempt) d eta i led View 5% Part {b} Calculate how much work \"Erin I the farmer does on the bucket of water (Via the rope) to raise it to ground level. 5% Part (c) Calculate how much work W3 in I gravity does on the bucket filled with water as the farmer lis it up the well. 5% Part ([1) Calculate the net work 1717,18! in J done on the bucket of water by the two forces F3 and F3