An amusement park ride moves a rider at a constant speed of 14 meters per second in a horizontal circular path of radius 10. meters. What is the rider's centripetal acceleration in terms of g, the acceleration due to gravity? A) 1g
B) 2g
C) 3g
D) 0g

The rider's centripetal acceleration in terms of g the acceleration due to gravity is 2g.

Centripetal acceleration is the acceleration of a body experiencing circular motion.

Centripetal acceleration is given by:

a = v²/r;

where a is the centripetal acceleration, v is the velocity and r is the radius of the circular path.

Given that v = 14 m/s, r = 10 m, hence:

a = v²/r = 14²/10 = 19.6 m/s²

g = 9.8 m/s²

Hence; a = 19.6 m/s² = 2(9.8) = 2g

The rider's centripetal acceleration in terms of g the acceleration due to gravity is 2g.

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B) 2g

Explanation:

Given the following data;

Velocity, v = 14m/s

Radius, r = 10m

To find the centripetal acceleration;

Substituting into the equation, we have;

Acceleration, a = 19.6m/s²

In terms of acceleration due to gravity, g = 9.8m/s²

We would divide by g;

Acceleration, a = 19.6/9.8 = 2

Hence, centripetal acceleration = 2g

Therefore, the rider's centripetal acceleration in terms of g, the acceleration due to gravity is 2g.

it is called kinetic energy

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.