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HW 4-4-solutions - madrid(tmm2353 HW 4-4 Antoniewicz(56445...

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madrid (tmm2353) – HW 4-4 – Antoniewicz – (56445) 1 This print-out should have 26 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001(part1of2)5.0points If an object is moving with constant momen- tum vectorp = ( 10 , 12 , 7 ) kg · m / s , what is the magnitude of the rate of change of momentum dvectorp dt ? Correct answer: 0 kg · m / s. Explanation: A constant momentum implies that the rate of change of momentum is zero. 002(part2of2)5.0points What is the magnitude of the net force acting on the object? Correct answer: 0 N. Explanation: By the Momentum Principle, Δ vectorp = vector F net Δ t, if the rate of change of momentum is zero, then the net force is also zero. 003(part1of4)3.0points A ball whose mass is 1 . 5 kg is suspended from a spring whose stiffness is 4 N / m. The ball oscillates up and down with an amplitude of 13 cm. Take g = 9 . 8 m / s 2 . What is the angular frequency ω ? Correct answer: 1 . 63299 rad / s. Explanation: The angular frequency is given by ω = radicalbigg k m = radicalBigg 4 N / m 1 . 5 kg = 1 . 63299 rad / s . 004(part2of4)3.0points What is the frequency? Correct answer: 0 . 259899 s - 1 . Explanation: The frequency is given by f = ω 2 π = 0 . 259899 s - 1 . 005(part3of4)2.0points What is the period? Correct answer: 3 . 84765 s. Explanation: The period is given by T = 1 f = 1 0 . 259899 s - 1 = 3 . 84765 s . 006(part4of4)2.0points Suppose this apparatus was taken to the Moon, where the strength of the gravitational field is only 1/6 of that on Earth. What would the period be on the Moon? (Consider care- fully how the period depends on properties of the system; look at the equation.) Correct answer: 3 . 84765 s. Explanation: This period is the same as the period you found in part 3, since g does not enter the formula for T . 007 10.0points A mass of 10 kg is connected to a horizon- tal spring whose stiffness is 10 N / m. When the spring is relaxed, x = 0. The spring is stretched so that the initial value of x = 0 . 2 m. The mass is released from rest at time t = 0. Remember that when the argument of a trigonometric function is in radians, on a cal- culator you have to switch the calculator to radians or convert the radians to degrees.
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madrid (tmm2353) – HW 4-4 – Antoniewicz – (56445) 2 Predict the position x when t = 2 . 6 s.
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