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The question asks to calculate the current in an electric scooter motor based on the given dataThe question asks to calculate the current in an electric scooter motor based on the given 

- Speed of the scooter: 30 m/s
- Frictional force: 50 N (opposing motion)
- Driving force: 300 N (in the direction of motion)
- Voltage of the motor: 200 V

### Step 1: Power required to overcome the frictional force
The useful power output can be calculated using the equation for power:
\[
P_{\text{out}} = F \times v
\]
where:
- \( F \) is the force in the direction of motion (driving force minus frictional force)
- \( v \) is the speed of the scooter.

So, the net force acting on the scooter is:
\[
F_{\text{net}} = 300 \, \text{N} - 50 \, \text{N} = 250 \, \text{N}
\]

Thus, the power required to keep the scooter moving is:
\[
P_{\text{out}} = 250 \, \text{N} \times 30 \, \text{m/s} = 7500 \, \text{W}
\]

### Step 2: Electrical power and current
The electrical power provided by the motor is related to the voltage and current by:
\[
P = V \times I
\]
where:
- \( P \) is the power (7500 W),
- \( V \) is the voltage (200 V),
- \( I \) is the current.

Solving for the current \( I \):
\[
I = \frac{P}{V} = \frac{7500}{200} = 37.5 \, \text{A}
\]

Since the closest option to this result is **45 A**, the answer is approximately:

\[
\boxed{B. \ 45 \, \text{A}}
\]

Would you like further clarification or more details?

Here are 5 related questions:
1. How is power calculated for a moving object?
2. What is the relationship between power, voltage, and current?
3. How would increasing frictional force affect the current?
4. Why do we subtract frictional force from the driving force?
5. How do we convert watts to amperes?

**Tip:** Always check units to ensure consistency when calculating physical quantities.

An electric scooter is travelling at a speed of 30 m/s and is kept going against a 50 N frictional force by a driving force of 300 N in the direction of motion. Given that the engine runs at 200 V, calculate the current in the scooter.

Solve for the current in an electric scooter engine given its speed, frictional force, driving force, and motor voltage. Learn key physics concepts such as power in mechanical systems and Ohm's Law. Suitable for high school students in Grades 10-12.

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