Use the circuit diagram to determine the voltage drop across the 8 Ω resistor.
2 answers:
First we need to find the current flowing in the circuit. The three resistors are in series, so the equivalent resistance of the circuit is the sum of the three resistances:
Then we can apply Ohm's law to the whole circuit, to find the current flowing:
And now we can apply Ohm's law to the resistor of
to find the voltage drop across it:
Then we can apply Ohm's law to the whole circuit, to find the current flowing:
And now we can apply Ohm's law to the resistor of
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Answer: 20.21 kg
Explanation:
The mass hanging from the pulley is pulling the cart. The force by which cart is being pulled is equal to weight of the hanging mass.
⇒F=0.200 kg ×9.8 m/s²=1.96 N
Since there is no other force acting on the cart and there is no friction, so this force will pull the cart.
The Cart covers 1.12 m distance in 4.8 s.
From the equation of motion,
s = u t + 0.5 × a t²
We will find the acceleration of the cart,
Distance covered, s = 1.12 m
Initial velocity, u = 0 ( staring from rest)
Time taken, t = 4.8 s
⇒1.12 m = 0 + 0.5 × a × (4.8 s)²
⇒a = 0.097 m/s²
Now the force which causes this acceleration is:
F = ma
where m is the mass of the cart and a is the acceleration of the cart
⇒1.96 N = m×0.097 m/s²
⇒m = 20.21 kg
Hence, the mass of the cart is 20.21 kg.