(10%) Problem 8: A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.8 x 10' m. The mass of the planet is M = 10 x 1024 kg. POT . . ." R 4 25% Part (a) Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite. A 25% Part (b) Express the magnitude of the centripetal acceleration a of the satellite in terms of the speed of the satellite v, and R. 25% Part (c) Express the speed v in terms of G, M and R. 4 25% Part (d) Calculate the numerical value of v, in m/s. Grade Summary V = Deductions 0% Potential 100% sin() cos tan() 7 8 9 HOME Submissions Attempts remaining: 4 cotan() asin() acos() F 4 5 6 (5% per attempt) atan() acotan() sinh() 2 3 detailed view cosh() tanh() cotanh() + O END O Degrees O Radians VO BACKSPACE DEL CLEAR(10%) Problem 2: A puck of mass m = 0.075 kg is moving in a circle on a horizontal frictionless surface. It is held in its path by a massless string of length L = 0.99 m. The puck makes one revolution every t = 0.65 s. 4 50% Part (a, What is the magnitude of the tension in the string, in newtons, while the puck revolves? 4 50% Part (b) The string breaks suddenly. How fast, in meters per second, does the puck move away? Grade Summary V = Deductions 0% Potential 100% sin() cos() tan() 7 8 9 HOME Submissions Attempts remaining: 4 cotan() asin() acos() E A A 4 5 6 (5% per attempt) atan() acotan() sinh() 2 3 detailed view cosh() tanh() cotanh() END Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 5% deduction per hint. Hints remaining: 2 Feedback: 5% deduction per feedback.HW Chapter 6 : Uniform Circular Motion and Gravita Begin Date: 2/27/2022 12:01:00 AM -- Due Date: 3/20/2022 11:59:00 PM End Date: 5/30/2022 11:59:00 PM (10%) Problem 3: At takeoff, a commercial jet has a speed of 74 m/s. Its tires have a diameter of 0.85 m. 4 25% Part (a) At how many rev/min are the tires rotating? 4 25% Part (b) What is the centripetal acceleration at the edge of the tire in m/s2? 4 25% Part (c) With what force must a determined 0.95 x 10- kg bacterium cling to the rim in N? A 25% Part (d) Take the ratio of this force to the bacterium's weight. Grade Summary FIW = Deductions 0% Potential 100% sin() cos tan() 7 8 9 HOME Submissions cotan() asin acos() E A Attempts remaining: 4 A 4 5 6 (5% per attempt) atan() acotan() sinh() 2 3 detailed view coshQ tanh() cotanh() + O END Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up!(10%) Problem 4: A skateboarder is attempting to make a circular arc of radius r = 13 m in a parking lot. The total mass of the skateboard and skateboarder is m = 99 kg. The coefficient of static friction between the surface of the parking lot and the wheels of the skateboard is us = 0.52 . m 4 50% Part (a) What is the maximum speed, in meters per second, he can travel through the arc without slipping? A.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? select part Grade Summary ac = m/$2 Deduction 0% Potential 100% sin() cos() tan() 7 8 9 HOME Submissions Attempts remaining: 4 cotan() asin() acos() A A 4 5 6 (5% per attempt) atan() acotan() sinh() 2 3 detailed view cosh() tanh() cotanh() + O END O Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 5% deduction per hint. Hints remaining: 2 Feedback: 5% deduction per feedback