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Question 8 6 pts (KTM-16 mod) An object which falls at terminal velocity... has with a...
When an object falls in Earth's gravitational field (think of a skydiver jumping from an airplane or a marble falling in a tank of oil)
When an object falls in Earth's gravitational field (think of a skydiver jumping from an airplane or a marble falling in a tank of oil), it accelerates due to the force of gravity. If gravity were the only force acting on the object, then all objects-elephants and feathers alike would fall at the same rate. But gravity is not the only force present. Moving objects also experience resistance or friction from the surrounding medium; it would be air resistance for...
(b) An asteroid of mass M falls through the Earth's atmosphere and reaches terminal velocity. Assume...
(b) An asteroid of mass M falls through the Earth's atmosphere and reaches terminal velocity. Assume that the atmosphere is a turbulent fluid, so that a drag force is exerted on an object moving at velocity v. The quantity b is a constant. You can assume that the motion is sufficiently close to the Earth that the acceleration due to gravity is constant. (i) Explain what you understand by "turbulent flow" 121 (ii) Use Newton's Second Law to determine an...
5. In certain circumstances, we can model the velocity of a falling mass subject to air...
5. In certain circumstances, we can model the velocity of a falling mass subject to air resistance as - dv m7 = mg – kv?, where v (t) is the velocity of the object, m is the mass of the object, g is acceleration due to gravity, and k is a constant of proportionality. Assume the positive direction is downward. (a) Solve this equation subect to the initial condition v (0) = vo. (b) What is the terminal velocity of...
Question 1 2 pts Which one of the following plots shows an object at rest? Time...
Question 1 2 pts Which one of the following plots shows an object at rest? Time (sec) Time (sec) Time (sec) Time (sec) Question 2 2 pts Which one of the Velocity vs. Time plots show an object moving at constant acceleration without changing direction? Time (sec) Time (sec) Time (sec) Time (sec) Question 3 2 pts Which one of the Velocity vs. Time plots show an object moving with low, but constant, acceleration? a» Time (sec) Time (sec) Time...
Ng 20uu n object of mass 8 kg is given an initial downward velocity of 30 m/sec and then allowed ...
ng 20uu n object of mass 8 kg is given an initial downward velocity of 30 m/sec and then allowed to fall under the y. Assume the force in newtons due to air resistance is -8e, where v is the velocity of the o object in m/sec. Assume the obj ect is initially 800m above the ground. JAssume the gravitational force constant, with g-9.8m/sec?, sign of g depends on your setting] (a) Write a DE describing the motion.[Hint: See pages...
Done 6 of 17 25. Speed is the rate at which what happens? a. The rate...
Done 6 of 17 25. Speed is the rate at which what happens? a. The rate at which you pick your nose in class. Yes, I've seen you do it. b. The rate at which you run out of class when the bell rings for your next period. c. The rate at which your position changes. d. The rate at which your velocity changes. e. The rate at which your acceleration changes. 26. What is the meaning of free fall?...
For 7-9: A skydiver falls ot constant, terminal velocity in the presence of air resistance 7....
For 7-9: A skydiver falls ot constant, terminal velocity in the presence of air resistance 7. (3 pts) The net work done on the skydiver is.. a) positive b) negative c) zero 8. (3 pts) The non-conservative work done on the skydiver is.. a) positive b) negative c) zero 9. (3 pts) The mechanical energy of the skydiver is. a) conserved c) decreasing b) increasing For each problem, show all work for full credit. Use at least three significant figures...
Solve & Explain Steps Please. 6. Consider the problem of a free falling object with mass M. Assume that only gravity and air resistance act upon the object. (a) As a first model, let us suppos...
Solve & Explain Steps Please.
6. Consider the problem of a free falling object with mass M. Assume that only gravity and air resistance act upon the object. (a) As a first model, let us suppose that the air resistance is proportional to the velocity v(t) of the object. Newton's second law of motion gives the DE M)go),20 More exactly, this is a first order linear DE with constant coefficients: Mw,(t) + ku(t) = Mg , t 2). Suppose that...
(1 point) An object of mass 5 kg is given an upward initial velocity of 16...
(1 point) An object of mass 5 kg is given an upward initial velocity of 16 m/sec and then allowed to fall under the influence of gravity. Assume that the force in newtons due to air resistance is -50, where v is the velocity of the object in m/sec. Assume gravitational constant is g = 9.8m/seca. Set up the differential equation for this scenario: v' = m/sec Solve the differential equation for the equation of motion: The equation is both...
2. (24 pts) A 4-foot spring measures 6 feet long after a mass weighing 8 pounds...
2. (24 pts) A 4-foot spring measures 6 feet long after a mass weighing 8 pounds is attached to it. The medium through which the mass moves offers a damping force numerically equal to 1.5 times the instantaneous velocity. If the mass is initially released from the equilibrium position with a downward velocity of 7 ft/s. (Use g = 32 ft/s2 for the acceleration due to gravity.) (a) (8 pts) Find the equation of motion. (b) (6 pts) Find the...
When an object falls in Earth's gravitational field (think of a skydiver jumping from an airplane or a marble falling in a tank of oil), it accelerates due to the force of gravity. If gravity were the only force acting on the object, then all objects-elephants and feathers alike would fall at the same rate. But gravity is not the only force present. Moving objects also experience resistance or friction from the surrounding medium; it would be air resistance for...
(b) An asteroid of mass M falls through the Earth's atmosphere and reaches terminal velocity. Assume that the atmosphere is a turbulent fluid, so that a drag force is exerted on an object moving at velocity v. The quantity b is a constant. You can assume that the motion is sufficiently close to the Earth that the acceleration due to gravity is constant. (i) Explain what you understand by "turbulent flow" 121 (ii) Use Newton's Second Law to determine an...
5. In certain circumstances, we can model the velocity of a falling mass subject to air resistance as - dv m7 = mg – kv?, where v (t) is the velocity of the object, m is the mass of the object, g is acceleration due to gravity, and k is a constant of proportionality. Assume the positive direction is downward. (a) Solve this equation subect to the initial condition v (0) = vo. (b) What is the terminal velocity of...
Question 1 2 pts Which one of the following plots shows an object at rest? Time (sec) Time (sec) Time (sec) Time (sec) Question 2 2 pts Which one of the Velocity vs. Time plots show an object moving at constant acceleration without changing direction? Time (sec) Time (sec) Time (sec) Time (sec) Question 3 2 pts Which one of the Velocity vs. Time plots show an object moving with low, but constant, acceleration? a» Time (sec) Time (sec) Time...
ng 20uu n object of mass 8 kg is given an initial downward velocity of 30 m/sec and then allowed to fall under the y. Assume the force in newtons due to air resistance is -8e, where v is the velocity of the o object in m/sec. Assume the obj ect is initially 800m above the ground. JAssume the gravitational force constant, with g-9.8m/sec?, sign of g depends on your setting] (a) Write a DE describing the motion.[Hint: See pages...
Done 6 of 17 25. Speed is the rate at which what happens? a. The rate at which you pick your nose in class. Yes, I've seen you do it. b. The rate at which you run out of class when the bell rings for your next period. c. The rate at which your position changes. d. The rate at which your velocity changes. e. The rate at which your acceleration changes. 26. What is the meaning of free fall?...
For 7-9: A skydiver falls ot constant, terminal velocity in the presence of air resistance 7. (3 pts) The net work done on the skydiver is.. a) positive b) negative c) zero 8. (3 pts) The non-conservative work done on the skydiver is.. a) positive b) negative c) zero 9. (3 pts) The mechanical energy of the skydiver is. a) conserved c) decreasing b) increasing For each problem, show all work for full credit. Use at least three significant figures...
Solve & Explain Steps Please.
6. Consider the problem of a free falling object with mass M. Assume that only gravity and air resistance act upon the object. (a) As a first model, let us suppose that the air resistance is proportional to the velocity v(t) of the object. Newton's second law of motion gives the DE M)go),20 More exactly, this is a first order linear DE with constant coefficients: Mw,(t) + ku(t) = Mg , t 2). Suppose that...
(1 point) An object of mass 5 kg is given an upward initial velocity of 16 m/sec and then allowed to fall under the influence of gravity. Assume that the force in newtons due to air resistance is -50, where v is the velocity of the object in m/sec. Assume gravitational constant is g = 9.8m/seca. Set up the differential equation for this scenario: v' = m/sec Solve the differential equation for the equation of motion: The equation is both...
2. (24 pts) A 4-foot spring measures 6 feet long after a mass weighing 8 pounds is attached to it. The medium through which the mass moves offers a damping force numerically equal to 1.5 times the instantaneous velocity. If the mass is initially released from the equilibrium position with a downward velocity of 7 ft/s. (Use g = 32 ft/s2 for the acceleration due to gravity.) (a) (8 pts) Find the equation of motion. (b) (6 pts) Find the...
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