You find yourself at a lever. A runaway trolley approaches five people who are tied to a set of tracks. Pulling the lever will d
ivert the trolley to a different set of tracks, where only one person is tied down Do you pull the lever?
1 answer:
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We can solve the problem by using the first law of thermodynamics:
where
is the variation of internal energy of the system
Q is the heat added to the system
W is the work done by the system
In this problem, the variation of internal energy of the system is
While the heat added to the system is
therefore, the work done by the system is
Answer:
The magnitude of the net force is √2F.
Explanation:
Since the two particles have the same charge Q, they exert the same force on the test charge; both attractive or repulsive. So, the angle between the two forces is 90° in any case. Now, as we know the magnitude of these forces and that they form a 90° angle, we can use the Pythagorean Theorem to calculate the magnitude of the resultant net force:
Then, it means that the net force acting on the test charge has a magnitude of √2F.
Answer:
vector with direction equal to the axis X.
Explanation:
We use the Gauss Law and the superposition law in order to solve this problem.
<u>Superposition Law:</u> the Total Electric field is the sum of the electric field of the first infinite sheet and the Electric field of the second infinite sheet:
<u>Thanks Gauss Law</u> we know that the electric field of a infinite sheet with density of charge σ is:
Then:
This electric field has a direction in the axis perpendicular to the sheets, that means it has the same direction as the axis X.