Respuesta :
Answer:
Speed of the car around the circular path will be 12 m/sec
Explanation:
We have given mass of the car m = 1500 kg
Radius of the curve r = 45 m
Centripetal acceleration of the car [tex]a=3.2m/sec^2[/tex]
We have to find the speed of the car
We know that centripetal acceleration is given by [tex]a=\frac{v^2}{r}[/tex], here v is car speed along the circular path and r is radius of the curve
So [tex]3.2=\frac{v^2}{45}[/tex]
[tex]v^2=144[/tex]
v = 12 m/sec
So speed of the car around the circular path will be 12 m/sec
The car's speed as it travels around the curve is 12m/sec.
Given that,
- On a flat, level road, a 1500-kilogram car travels around a curve having a constant radius of 45 meters.
- The centripetal acceleration of the car has a constant magnitude of 3.2 meters per second squared.
Based on the above information, the calculation is as follows:
[tex]3.2 = v^2 \div 45\\\\v^2 = 144[/tex]
v = 12
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