A car of mass 1200kg travels at a steady speed of 22 m/s around a bend of radius 50m.
a car accidently rolls a cliff .as it leaves the cliff it has a horizontal velocity of 13m/s ,it hits the ground 60m from the shoreline. Calculate the height of the cliff
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To understand the car's motion around the bend, we need to consider the forces acting on it. The main force at play is called the centripetal force, which is directed towards the center of the circular path. This force is responsible for keeping the car moving in a curved path and preventing it from moving in a straight line.
The equation for centripetal force is given by F = (m * v^2) / r, where F is the centripetal force, m is the mass of the car, v is the velocity of the car, and r is the radius of the bend.
Given:
- Mass of the car (m) = 1200 kg
- Velocity (v) = 22 m/s
- Radius of the bend (r) = 50 m
Now we can calculate the centripetal force acting on the car.
F = (m * v^2) / r
F = (1200 kg * (22 m/s)^2) / 50 m
To calculate this, we first square the velocity:
v^2 = (22 m/s)^2 = 484 m^2/s^2
Next, we substitute the values:
F = (1200 kg * 484 m^2/s^2) / 50 m
F = (580800 N) / 50 m
F = 11616 N
Therefore, the centripetal force acting on the car is 11616 N.