Question
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Bahram was 80 feet from the base of the lamp he was walking at a pace of 2 ft/s. At what rate was the length of Bahram's shadow changing at that instant? Make sure that each stated and calculated rate value has the correct sign. Make sure that your conclusion sentence clearly communicates whether the length of the shadow was increasing or decreasing at the indicated time. The gravitational force, F, between two objects in space with masses m1 and m2 is given by the formula F = G m1 m2/r2 where r is the distance between the objects' centers of mass and G is the universal gravitational constant. Two pieces of space junk, one with mass 500 kg and the other with mass 3000 kg, were drifting directly toward one another. When the objects' centers of mass were 250 km apart the lighter piece was moving at a rate of 0.5 km/hour and the heavier piece was moving at a rate of 0.9 km/hour. Leaving G as a constant, determine the rate at which the gravitational force between the two objects was changing at that instant. Make sure that each stated and calculated rate value has the correct sign. Make sure that your conclusion sentence clearly communicates whether the force was increasing or decreasing at that given time. The unit for F is Newtons (N).
Explanation / Answer
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