A 6.0 kg bowling ball moving at 3.5m/s to the right makes a collision, head-on, with a stationary 0.70 kg bowling pin. If the ba
1 answer:
Answer:
The velocity of the pin will be 6.26 m/s in the right direction.
Explanation:
Let's use the momentum conservation equation.
Initially, we have:
Where:
- m(b) is the ball mass
- v(ib) is the initial velocity of the ball
Now, the final momentum will be:
Where:
- m(p) is the pin mass
- v(fb) is the final velocity of the ball
- v(fp) is the final velocity of the pin
Then, using the equation of the conservation we have:
Therefore the velocity of the pin will be 6.26 m/s in the right direction.
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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.