Sample Midterm

# Sample Midterm - radius R shown in Fig. 3? How ar will it...

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Physics 200a Sample Midterm Questions Formulas and fgures at the end I expect this assortment o± problems to take about 90 minutes 1. A block o± mass m starts with negligible speed ±rom the top o± an inclined plane o± angle α and coeﬃcient o± ±riction μ k , as shown in Fig. 1. Using Newton’s laws fnd the speed at the bottom and show that it is in agreement with the law o± conservation o± energy. 15 2. A small mass m sits on top o± a big mass M as shown in Fig. 2. The coeﬃcient o± static ±riction between them is μ s . The lower mass is connected to a spring o± ±orce constant k . What is the maximum amount A by which the spring can be stretched so that the upper mass does not slip oﬀ the top as the lower mass begins to move? Argue that i± this condition is satisfed the upper mass will never slip during subsequent motion. 15 3. A trolley o± mass m is released by a compressed spring o± ±orce constant k . By how much should the spring be compressed i± the mass is to sa±ely make the loop o±

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Unformatted text preview: radius R shown in Fig. 3? How ar will it slide down the rough surace that ollows, where the coecient o riction is k ? 20 4. A satellite is in an elliptical orbit around the earth with altitudes ranging rom 230 to 890 km. At the highest point it has a speed o 7.23 km/s. What will be the speed at the lowest point? ( G = 6 . 67 10-11 N m 2 /kg 2 , M earth = 5 . 97 10 24 kg, R E = 6 . 37 10 6 m 10 5. Find the work done by the orce F = i x 2 y 2 + j yx on a path y = x 2 between (0 , 0) and (1 , 1). 15 6. A crane holds up a mass 5000kg rom the end o a boom o length 10m (assumed massless and at an angle o 60 ). Find T , the tension on the cable supporting the boom at an angle o 30 . (Fig. 4) 10 7. A solid cylinder o mass M and radius R rolls down an incline plane o angle without slipping. Find its angular and linear acceleration down the slope. (Fig. 5) 10...
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## This note was uploaded on 07/13/2008 for the course PHYS 200 taught by Professor Ramamurtishankar during the Fall '08 term at Yale.

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Sample Midterm - radius R shown in Fig. 3? How ar will it...

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