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Let f(t) and g(t) give, respectively, the amount of water (in acre-feet) in two different reservoirs on day t. Suppose that f(0) = 2000, g(0) = 1500 and that f'(0) = 11, g'(0) = 13.5. Let h(t) = f(t) - g(t).
(a) Evaluate h(0) and h'(0). What do these quantities tell you about the reservoir?
(b) Assume h'is constant for 0 ≤ t ≤ 250. Does h have any zeros? What does this tell you about the reservoirs?
A rider of mass 50 kg sits on a toboggan of mass 70 kg. which in turn sits on a frictionless frozen pond. Find the maximum value of F for which the rider will not slide on the toboggan
A 12 V battery (which has an electric potential difference of 12 V between its terminals) is connected to a 10 W light bulb for 1 second. Calculate how much charge flows through the light bulb in the 1 second.
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At Enormous State University (ESU), the football team records its plays using vector displacements, with the origin taken to be the position of the ball before the play starts. In a certain pass play, the receiver starts at +1.5 i^ - 3.0 j^, where th..
How much does the internal energy (in joules) of a block of metal change (a) when 30 cal of heat is added to it and (b) when 60 cal of heat is taken away from it? Assume the metal's volume to remain constant.
A certain lightbulb is rated at 60.0 W when operating at an rms voltage of 120 V. What is the peak voltage applied across the bulb
A crate is resting on a ramp that is inclined at an angleabove the horizontal, The coefficient of kinetic frictionbetween the crate and the ramps surface is 0.600. Find the acceleration of the moving crate
A 50 gram bullet is fired into a block of mass 4.0kg, initially at rest at the edge of a frictionless table of height 0.8m. find the speed of the system before it strikes the ground
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