if speed of the car is 137km/h and weight of the car is 2000 kg what is the breaking speed calculated

To calculate the braking distance of a car, we can use the formula:

\[
d = \frac{v^2}{2a}
\]

where:
- \( d \) is the braking distance,
- \( v \) is the initial speed in meters per second (m/s),
- \( a \) is the deceleration (braking acceleration) in meters per second squared (m/s²).

1. **Convert speed from km/h to m/s**:
   \[
   v = 137 \text{ km/h} \times \frac{1000 \text{ m}}{1 \text{ km}} \times \frac{1 \text{ h}}{3600 \text{ s}} \approx 38.06 \text{ m/s}
   \]

2. **Deceleration**: The braking force can be calculated using Newton's second law, \( F = ma \), where \( F \) is the braking force. The braking force depends on factors like tire friction, which varies, but a typical deceleration for a car is around \( 7 \, \text{m/s}^2 \) (this can vary based on conditions).

Assuming \( a = 7 \, \text{m/s}^2 \):

3. **Calculate braking distance**:
   \[
   d = \frac{(38.06)^2}{2 \times 7} \approx \frac{1445.36}{14} \approx 103.9 \text{ meters}
   \]

So, the estimated braking distance is approximately **103.9 meters**.

### Questions to Consider:
1. What factors can affect the actual braking distance?
2. How does the weight of the car influence its braking performance?
3. What are the different types of braking systems used in cars?
4. How does road condition impact braking distance?
5. What is the stopping distance including reaction time?

### Tip:
Always ensure your tires are properly inflated and have good tread for optimal braking performance.

Discover how to calculate the braking distance of a car traveling at 137 km/h with a weight of 2000 kg. This guide includes the conversion of speed to meters per second and the application of braking formulas, suitable for high school physics students.

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