What is its maximum altitude above the ground? The answer is the maximum height above the ground
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The total work done by the electric field on the charge is given by the scalar product between the electric force acting on the charge and the displacement of the charge:
where the force is F=qE, d=0.556 and
. Using the value of q and E given by the problem, we find
where the force is F=qE, d=0.556 and
With the Pythagoras Theorem we can find that the distance traveled is:
39 m
The distance is the length of the path between two points and it is a scalar magnitude so if the path changes direction the Pythagorean theorem should be used
d =
Where d is the distance, (x,y,z) is the interes point, (x₀,y₀,z₀) is de reference point.
In this case, let's set a reference system in the lower part of the school, take the z-axis as vertical and set the point of arrival at as the reference (0, 0, 0).
The distance that the students descend is d₁ = 30 k ^ m, when they arrive from the bottom of the school they travel d₂ = 15 j ^ m and d₃ = 20 i ^ m
let's calculate
d =
d = 39.05 m
Notice that the distance by being a scalar does not have unit vectors
In conclusion using the Pythagoras Theorem we can find that the distance traveled is 39 m
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