question archive A bicyclist is stopped at the entrance to a valley, as sketched below: E olo Where would the bicyclist have the highest potential energy? (choose one) v Where would the bicyclist have the lowest potential energy? ( choose one) v Where would the bicyclist have the highest kinetic energy? (choose one) v Where would the bicyclist have the highest speed? (choose one) v Would the bicyclist's kinetic energy be higher at D or A? (choose one) Would the bicyclist's potential energy be higher at D or A? (choose one) Would the bicyclist's total energy be higher at D or A? (choose one) Suppose the bicyclist lets off the brakes and coasts down into the valley without pedaling
A bicyclist is stopped at the entrance to a valley, as sketched below: E olo Where would the bicyclist have the highest potential energy? (choose one) v Where would the bicyclist have the lowest potential energy? ( choose one) v Where would the bicyclist have the highest kinetic energy? (choose one) v Where would the bicyclist have the highest speed? (choose one) v Would the bicyclist's kinetic energy be higher at D or A? (choose one) Would the bicyclist's potential energy be higher at D or A? (choose one) Would the bicyclist's total energy be higher at D or A? (choose one) Suppose the bicyclist lets off the brakes and coasts down into the valley without pedaling
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A bicyclist is stopped at the entrance to a valley, as sketched below: E olo Where would the bicyclist have the highest potential energy? (choose one) v Where would the bicyclist have the lowest potential energy? ( choose one) v Where would the bicyclist have the highest kinetic energy? (choose one) v Where would the bicyclist have the highest speed? (choose one) v Would the bicyclist's kinetic energy be higher at D or A? (choose one) Would the bicyclist's potential energy be higher at D or A? (choose one) Would the bicyclist's total energy be higher at D or A? (choose one) Suppose the bicyclist lets off the brakes and coasts down into the valley without pedaling. Even if there is no friction or air resistance to slow her down, what is the farthest point the (choose one) v bicyclist could reach without pedaling? X ?
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F.
D
D.
D.
D
A
Total energy is the same at point D and A.
E
Step-by-step explanation
The potential energy is calculated as: mgh where m is the mass, g the gravitational pull and h is the height. So the bigger the h the higher the potential energy. Therefore the maximum potential energy will be when the bicyclist is at point F.
The lowest potential energy will be at point D because that is the lowest point on the profile and the point of maximum kinetic energy.
The highest kinetic energy is at the point where the potential energy is lowest. Remember Kinetic energy + potential energy=Energy of the system which is a constant. This will therefore be point D.
The highest speed will be at the point of the highest kinetic energy and in this case this will be at point D.
The kinetic energy will be higher at D than A because at D all the potential energy has been converted to kinetic energy as the bicycle moves with maximum speed past this point and therefore the kinetic energy is high.
The potential energy will be higher at A because the bicycle has the lowest speed at this point meaning its kinetic energy is lower and therefore the potential energy will be higher.
The total energy i.e. sum of kinetic energy and potential energy will be the same at point D and A.
The furthest point can only be point E because it is at the same potential energy as point A and therefore the total energy at A can only be enough to push the system to point E and not beyond.
