Final answer:
The acceleration of a 700 kg car rounding a 15 m radius curve at 76 km/h (converted to 21.11 m/s) is 29.68 m/s^2 using the centripetal acceleration formula a = v^2 / r.
Step-by-step explanation:
Calculating the Acceleration of a Car Rounding a Curve
To calculate the acceleration of a 700 kg car that rounds a curve of radius 15 m at 76 km/h, we first need to convert the speed to meters per second. Since 76 km/h is equivalent to approximately 21.11 m/s (76 km/h * (1000 m/km) / (3600 s/h)), we can then use the formula for centripetal acceleration, which is a = v^2 / r, where v is the velocity of the car and r is the radius of the curve.
a = (21.11 m/s)^2 / 15 m = 29.68 m/s^2
The centripetal acceleration of the car is 29.68 m/s^2.