Hernando builds a simple DC series circuit with a standard D-cell battery and uses an ammeter to determine that the total curren
1 answer:
Answer: I = 9.0 A
Explanation: <u>Ohm's</u> <u>Law</u> is defined as the relationship between voltage and current: in a circuit, the voltage accross a conductor is directly proportional to the current.
The constant of proportionality is Resistance, whose unit is ohm (Ω).
so, Ohm's Law is
V = R.I
It is asked for the current, so, rearraging:
When added two more batteries, the voltage of the circuit triples:
Since they are directly proportional, if voltage triples, so does current:
9.0
The new current, when driven by 3 batteries is 9.0 A.
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Answer:
a) 4.2m/s
b) 5.0m/s
Explanation:
This problem is solved using the principle of conservation of linear momentum which states that in a closed system of colliding bodies, the sum of the total momenta before collision is equal to the sum of the total momenta after collision.
The problem is also an illustration of elastic collision where there is no loss in kinetic energy.
Equation (1) is a mathematical representation of the the principle of conservation of linear momentum for two colliding bodies of masses and
whose respective velocities before collision are
and
;
where and
are their respective velocities after collision.
Given;
Note that =0 because the second mass
was at rest before the collision.
Also, since the two masses are equal, we can say that so that equation (1) is reduced as follows;
m cancels out of both sides of equation (2), and we obtain the following;
a) When , we obtain the following by equation(3)
b) As stops moving
, therefore,