To what temperature will 8200 J of heat raise 3.0 kg of water that is initially at 10.0°C?
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A boy stands on the back of a rowboat and dives into the
water. What happens to the boat as he leaves it? Explain.
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A sprinter accelerates from rest to 9.00 m/s in 1.38 s. What is her acceleration in (a) m/s^2; (b) km/h^2 ?
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A gry is an old English measure for length, defined as 1/10 of a
line, where line is another old English measure for length, defined
as 1/12 inch. A common measure for length in the publishing business
is a point, defined as 1/72 inch.What is an area of 0.50 gry^2 in
points squared (points^2)?
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On exam 1, you will be asked to solve some problems similar to this one without a calculator. You only need to use basic algebra, the derivative of polynomials ( d(ax^n)/dt = nax^(n−1) ), and the chain rule. You do not need the product rule, etc. Find dy/dx at (x = 3.5) if y = ( [x - 2] / [x + 1] )^6.
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How much work is done by pressure in forcing 1.4 m^3 of
water through a pipe having an internal diameter of 13 mm if the
difference in pressure at the two ends of the pipe is 1.0 atm?
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An electron has a constant acceleration of +3.2 m/s^2. At a certain instant its velocity is +9.6 m/s. What is its velocity (a) 2.5 s earlier and (b) 2.5 s later?
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How fast (in rpm) must a centrifuge rotate if a particle 8.0 cm from the axis of rotation is to experience an acceleration of 100,000 g’s?
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Canal effect. Figure 14-45 shows an anchored barge that extends across a canal by distance d = 30 m and into the water by distance b = 12 m. The canal has a width D = 55 m, a water depth H = 14 m, and a uniform water-flow speed v_i = 1.5 m/s. Assume that the flow around the barge is uniform. As the water passes the bow, the water level undergoes a dramatic dip known as the canal effect. If the dip has depth = 0.80 m, what is the water speed alongside the boat through the vertical cross sections at (a) point a and (b) point b? The erosion due to the speed increase is a common concern to hydraulic engineers.
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An ocean fishing boat is drifting just above a school of tuna on a foggy day. Without warning, an engine backfire occurs on another boat 1.55 km away (Fig. 12–33). How much time elapses before the backfire is heard (a) by the fish, and (b) by the fishermen?
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