Which of the following is not a vector
2 answers:
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The stopping distance is 45.0 m
Explanation:
First of all, we find the acceleration of the truck, by using Newton's second law:
where
is the net force on the truck
is the mass of the truck
a is its acceleration
Solving for a,
where the negative sign means the acceleration is opposite to the direction of motion.
Now, since the motion of the truck is at constant acceleration, we can apply the following suvat equation:
where
v = 0 is the final velocity of the truck
u = 22.2 m/s is the initial velocity
is the acceleration
s is the stopping distance
And solving for s,
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a) , 1.6 A
b) , 1.33 A
Explanation:
a)
In this situation, we have two resistors connected in series.
The equivalent resistance of resistors in series is equal to the sum of the individual resistances, so in this circuit:
where
Therefore, the equivalent resistance is
Now we can use Ohm's Law to find the current flowing through the circuit:
where
V = 8 V is the voltage supplied by the battery
is the equivalent resistance of the circuit
Substituting,
The two resistors are connected in series, therefore the current flowing through each resistor is the same, 1.6 A.
b)
In this part, a third resistor is added in series to the circuit; so the new equivalent resistance of the circuit is
where:
Substituting, we find the equivalent resistance:
Now we can find the current through the circuit by using again Ohm's Law:
where
V = 8 V is the voltage supplied by the battery
is the equivalent resistance
Substituting,
And the three resistors are connected in series, therefore the current flowing through each resistor is the same, 1.33 A.