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When you ride a bicycle at constant speed, almost all of the energy you expend goes into the work you do against the drag force of the air. In this problem, assume that all of the energy expended goes into working against drag. The drag force on an object is approximately proportional to the square of its speed with respect to the air. For this problem, assume that F~V^2 exactly and that the air is motionless with respect to the ground unless noted otherwise. Suppose a cyclist and her bicycle have a combined mass of 60kg and she is cycling along at a speed of 5 m/s .
A.) Under these conditions, how much power does she expend as she cycles?
B.) If she doubles her speed to 10m/s , how much energy does she use in cycling 1 kilometer?
C.) How much power does she expend when cycling at that speed? (10m/s)
D.) Upon reducing her speed back down to 5m/s , she hits a headwind of 5m/s . How much power is she expending now?
Four identical charges (+3.0µ C each) are brought from infinity and fixed to a straight line. Determine the electric potential energy of this group
Imagine a "free" electron and a "free" proton held midway between the plates of a charged equivalent plate capacitor. When released, how do their accelerations and directions travel compare.
A dockworker applies a constant horizontal force of 85.0 N to a block of ice on a smooth horizontal floor. The frictional force is negligible. What is the mass of the block of ice
A 25 kg cannon shell is subjected to a constant acceleration of 1200 g while in the cannon barrel. What force is the burning propellant exerting on the shell
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A 1.0-cm-thick layer of water stands on a horizontal slab of glass. What is the ray's direction of travel in the glass
A satellite is in a circular orbit around an unknown planet. The satellite has a speed of 1.60 104 m/s, What is the orbital speed of the second satellite?
Transcranial magnetic stimulation (TMS) is a noninvasive technique used to stimulate regions of the human brain. Determine the induced emf within a circle of tissue of radius 1.9 mm and that is perpendicular to the direction of the field
A lever uses an effort arm of 4.75 m and has a resistance arm of 21.5 cm. What is the mechanical advantage of the lever
It is desired to build a heat pump that has an output temperature of 31 °C. Calculate the maximum coefficient of performance for the pump when the input source is ground water at 8.1 °C
Power lines have a limit on the maximum size of the electric field they produce. In most states a maximum of 4 kN/C at about 21 m from the wires is allowed. determine how much charge per unit length is on the wire
A 0.873-kg block is held up against a ceiling by a pole that makes an angle of 21 degree with respect to the vertical; What minimum force in the pole is necessary to get the block moving
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