Answer:

Explanation:
According to Newton’s law of cooling, the rate of loss of heat from a body and the difference in the temperature of the body and its surroundings are proportional to each other.

Here,
represents temperature at time t, R as the room temperature, t as the independent variable, y as the dependent variable.
Answer:
500÷25=20
so 20 coulombs per second
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Answer:
For the first situation, we first need to find the mass of the second train car.
In order to do that, we apply the conservation of the amount of movement:

and we have as a result:
m2 = 289.6875
For the second situation, also we will apply the conservation of the amount of movement:

and we have as a result:
V = 2.64 (it is moving to the right)
Answer:
0.702 m
Explanation:
The magnitude of the electrostatic force between two charged objects is given by Coulomb's Law:

where
k is the Coulomb's constant
q1, q2 are the two charges
r is the separation between the objects
And the force is:
- Attractive if the two charges have opposite signs (+-)
- Repulsive if the two charges have same sign (++ or --)
In this problem we have:
is the force between the two balls
is the charge on each ball
Solving for r, we find the separation between the balls:
