A budding magician holds a 2.24-mW laser pointer, wondering whether he could use it to keep an object floating in the air with t
1 answer:
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Answer: The horse is moving with a uniform acceleration
Explanation:
According to the described situation, we are dealing with a <u>constant acceleration</u> (also called <u>uniform acceleration</u>), since the horse's velocity is changingn by a constant rate.
Let's prove it:
Firstly we are told the horse follows a straight path. In addition we are given its velocity:
3 m/s, then 4 m/s and 5 m/s
Since acceleration is defined as the change of velocity in time we can calculate it:
This is the horse's constant acceleration
Answer:
If both the radius and frequency are doubled, then the tension is increased 8 times.
Explanation:
The radial acceleration (), measured in meters per square second, experimented by the moving end of the string is determined by the following kinematic formula:
(1)
Where:
- Frequency, measured in hertz.
- Radius of rotation, measured in meters.
From Second Newton's Law, the centripetal acceleration is due to the existence of tension (), measured in newtons, through the string, then we derive the following model:
(2)
Where is the mass of the object, measured in kilograms.
By applying (1) in (2), we have the following formula:
(3)
From where we conclude that tension is directly proportional to the radius and the square of frequency. Then, if radius and frequency are doubled, then the ratio between tensions is:
(4)
If both the radius and frequency are doubled, then the tension is increased 8 times.