Problem 9: George is trying to determine the effect of air resistance on his automobile. He finds that force (F) in newtons (a newton being kg⋅m/s2), depends on the speed at which his car travels (V), in m/s, the air surface area (A) of his car's front, in m2, the density of the air around his car (D), in kg/m3 and a unitless friction coefficient (χ). The friction coefficient is similar to that used in determining the force due to kinetic friction. Part (a) Using the information provided above, determine the simplest expression that George can use to determine the force of air resistance, F, on his car that is dimensionally correct. F = ______ Part (b) After an initial race George determines that his car loses 25 percent of its acceleration due to air resistance travelling at 32 m/s on flat ground. Assuming that his car travels with a constant acceleration, calculate the maximum speed (Vm), in meters per second, his car can reach on flat ground? Vm = ______
Problem 9: George is trying to determine the effect of air resistance on his automobile. He finds that force (F) in newtons (a newton being kg⋅m/s2), depends on the speed at which his car travels (V), in m/s, the air surface area (A) of his car's front, in m2, the density of the air around his car (D), in kg/m3 and a unitless friction coefficient (χ). The friction coefficient is similar to that used in determining the force due to kinetic friction.
Part (a) Using the information provided above, determine the simplest expression that George can use to determine the force of air resistance, F, on his car that is dimensionally correct.
F = ______
Part (b) After an initial race George determines that his car loses 25 percent of its acceleration due to air resistance travelling at 32 m/s on flat ground. Assuming that his car travels with a constant acceleration, calculate the maximum speed (Vm), in meters per second, his car can reach on flat ground?
Vm = ______
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