Answer:
(C) Decreases by factor of 3
Explanation:
Centripetal acceleration is given by
where <em>v</em> is the linear velocity and <em>r</em> is the radius of the curve.
Let the centripetal acceleration on the curve of radius <em>R</em> be .
Then
Let the centripetal acceleration on the curve of radius 3<em>R</em> be .
Then
Here, we see that the acceleration decreases by a factor of 3.
1) Average speed
2) Displacement
Explanation:
1)
Speed is a scalar quantity which gives a measure of how fast a body is moving. It is equal to the ratio between the distance travelled by an object and the time taken to cover that distance:
where
d is the distance covered
is the time taken
It is important to note that being a scalar, speed does not have any direction. Moreover, distance is also a scalar quantity, which corresponds to the total length of the path covered by the object, regardless on the direction taken.
So, the equation "travelled distance/elapsed time" corresponds to the average speed. (where the term average refers to the fact we are not measuring the speed at a specific instant in time, but on a certain time interval .
2)
Velocity is a vector quantity, so it has both a magnitude and a direction.
The magnitude of the velocity is given by:
where
is the change in position (or displacement) of the object
is the time taken
And the direction of the velocity corresponds to the direction of the displacement.
We must note that while distance does not depend on the direction, displacement does. In fact, displacement measures the difference between the initial and final position of the object.
Therefore, the equation "change in position / elapsed time" is equal to the average velocity.
Learn more about speed and velocity:
brainly.com/question/8893949 (speed)
brainly.com/question/5063905 (speed vs velocity)
brainly.com/question/5248528 (velocity)
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Answer:
8962.5 N
Explanation:
From fundamental kinematics equations, acceleration, a is given by where v is final velocity, u is initial velocity and t is time
We also know that force is a product of mass and acceleration of an object and substituting in the formula F=ma we obtain
where m is the mass of the body
Therefore, the force is 8962.5 N