Which of the following are examples of centripetal acceleration? Check all that apply.
1 answer:
<u>Answer:</u> The correct answer is option B, C and E.
<u>Explanation:</u>
Centripetal acceleration is defined as the acceleration win which an object moves in a curved path. Formula for this acceleration is given by the equation:
where,
= centripetal acceleration
v = linear speed of the object
r = radius of the curved path
From the given options,
Option A: As, the golf ball is not moving in a curved path. Hence, it is not an example of centripetal acceleration.
Option B: As, a car is moving in a curved path. Hence, it is an example of centripetal acceleration.
Option C: As, a person is moving in a curved path. Hence, it is an example of centripetal acceleration.
Option D: As, a car is not moving in a curved path and is moving in a straight road. Hence, it is not an example of centripetal acceleration. The car is moving with zero acceleration because the direction of the car is not changing.
Option E: As, a bicyclist is moving in a curved path which is around the lake. Hence, it is an example of centripetal acceleration.
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To solve this problem we will apply the concepts of equilibrium and Newton's second law.
According to the description given, it is under constant ascending acceleration, and the balance of the forces corresponding to the tension of the rope and the weight of the elevator must be equal to said acceleration. So
Here,
T = Tension
m = Mass
g = Gravitational Acceleration
a = Acceleration (upward)
Rearranging to find T,
Therefore the tension force in the cable is 10290.15N
Both require time, but velocity requires displacement and speed requires distance.
Explanation:
Speed and velocity are two different quantities. In fact:
- Speed is a scalar quantity, which gives a measure of how fast an object is moving, regardless of its direction. Therefore, it only has a magnitude, which is given by the ratio between distance covered and time taken:
Therefore, speed does not take into account the direction of motion.
- Velocity, on the other hand, is a vector quantity, so it has magnitude and a direction.
The magnitude of the velocity is given by
where displacement is a vector connecting the initial point with the final point of motion of an object.
The direction of the velocity corresponds to the direction of the displacement.
It must be noted also that in certain situations, the average velocity is zero, while the speed is not zero: for example, for an object completing a circle in a certain time interval, its speed is not zero, while its velocity is zero (because the object returns to the starting point, so the displacement is zero.
Therefore, the correct answer is
Both require time, but velocity requires displacement and speed requires distance.
Learn more about speed and velocity:
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