a 2000kg car approaches a 1000m radius curve. If the amount of friction is 1800 N and it have velocity of 30m/sec will the car be able to make the turn?
To determine if the car will be able to make the turn, we need to calculate the centripetal force acting on the car and compare it to the available friction force.
1. Calculate the centripetal force (Fc) acting on the car using the formula:
Fc = (m * v^2) / r
Where:
- m is the mass of the car (2000 kg)
- v is the velocity of the car (30 m/s)
- r is the radius of the curve (1000 m)
Plugging in the values, we get:
Fc = (2000 kg * (30 m/s)^2) / 1000 m
2. Calculate Fc:
Fc = (2000 kg * 900 m^2/s^2) / 1000 m
Fc = 1800 N
3. Compare the centripetal force (Fc) to the available friction force:
If Fc is less than or equal to the available friction force (1800 N), then the car will be able to make the turn. Otherwise, it will not be able to make the turn.
In this case, Fc is equal to the available friction force (1800 N), so the car will be able to make the turn.