A person’s energy output is being measured using a treadmill (see the diagram at the bottom of this section). The angle of incline is 0 and the person walks a total distance d meters up the incline. For simplicity, treat this as if it was a continuous long slope. The force of gravity on the person by Earth is shown. Other than gravity, there are two other forces act ON the person, such that the person is in equilibrium (not accelerating). The two forces are the (1) normal reaction force of the treadmill surface on the person mgcos®, upwards and perpendicular to the surface, due to the component of the weight of the person perpendicular to the surface and (2) the reaction force due to friction of the surface on the person's foot mgsin®, parallel to the surface and upwards, to cancel the component of the force of gravity that would cause the person to slide down the inclined surface. Since the person is not accelerating, the total reaction force has to be along the direction of the force of gravity and cancel the weight. If these vectors are placed end-to-end they should form a triangle, as they sum to En Average while feet zero. move. Ft: Caused by feet moving on treadmill w-mg (a) Assuming a long continuous slope, describe the energy transformations. Include the initial and final forms of energy, where or how changes occur, and the work done.
A person’s energy output is being measured using a treadmill (see the diagram at the bottom of this section). The angle of incline is 0 and the person walks a total distance d meters up the incline. For simplicity, treat this as if it was a continuous long slope. The force of gravity on the person by Earth is shown. Other than gravity, there are two other forces act ON the person, such that the person is in equilibrium (not accelerating). The two forces are the (1) normal reaction force of the treadmill surface on the person mgcos®, upwards and perpendicular to the surface, due to the component of the weight of the person perpendicular to the surface and (2) the reaction force due to friction of the surface on the person's foot mgsin®, parallel to the surface and upwards, to cancel the component of the force of gravity that would cause the person to slide down the inclined surface. Since the person is not accelerating, the total reaction force has to be along the direction of the force of gravity and cancel the weight. If these vectors are placed end-to-end they should form a triangle, as they sum to En Average while feet zero. move. Ft: Caused by feet moving on treadmill w-mg (a) Assuming a long continuous slope, describe the energy transformations. Include the initial and final forms of energy, where or how changes occur, and the work done.
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Transcribed Image Text:A person’s energy output is being measured using a treadmill (see the diagram at the bottom of
this section). The angle of incline is e and the person walks a total distanced meters up the
incline. For simplicity, treat this as if it was a continuous long slope.
The force of gravity on the person by Earth is shown. Other than gravity, there are two other
forces act ON the person, such that the person is in equilibrium (not accelerating). The two
forces are the (1) normal reaction force of the treadmill surface on the person mgcos0, upwards
and perpendicular to the surface, due to the component of the weight of the person perpendicular
to the surface and (2) the reaction force due to friction of the surface on the person's foot
mgsin0, parallel to the surface and upwards, to cancel the component of the force of gravity that
would cause the person to slide down the inclined surface. Since the person is not accelerating,
the total reaction force has to be along the direction of the force of gravity and cancel the weight.
If these vectors are placed
end-to-end they should form
a triangle, as they sum to
En
Average
while feet
zero.
move.
Ft: Caused by feet
moving on treadmill
w-mg
(a) Assuming a long continuous slope, describe the energy transformations. Include the initial
and final forms of energy, where or how changes occur, and the work done.
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