The centripetal force on the ball is 140.9 N; option A
<h3>What is the centripetal force on the ball?</h3>
The centripetal force on the ball is given by the formula below:
where;
- m is mass
- v is linear velocity
- r is radius
The linear velocity, v = wr
v = 5 * 2π/4.4 * 1.4 = 9.93 m/s
F = 10² * 2/1.4 = 140.9 N
In conclusion, the centripetal force is derived from the mass, velocity and radius of the path.
Learn more about centripetal force at: brainly.com/question/20905151
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Answer:
76.1N
Explanation:
Given parameters:
Mass of the ball = 7.77kg
Unknow:
Weight of balloon = ?
Solution:
Weight is the vertical force applied on a body.
Weight = mass x acceleration due gravity
So;
Weight = mass x acceleration due to gravity
So;
Weight = 7.77 x 9.8 = 76.1N
1. 168.1 Hz
To find the apparent frequency heard by the driver in the car, we can use the formula for the Doppler effect:
![f'=(\frac{v\pm v_o}{v\pm v_s})f](https://tex.z-dn.net/?f=f%27%3D%28%5Cfrac%7Bv%5Cpm%20v_o%7D%7Bv%5Cpm%20v_s%7D%29f)
where
f is the original sound of the horn
v is the speed of sound
is the velocity of the observer (the driver and the car), which is positive if the observer is moving towards the source and negative if it is moving away
is the velocity of the sound source (the train), which is positive if the source is moving away from the observer and negative otherwise
In this problem we have, according to the sign convention used:
![v = 343 m/s\\f = 164 Hz\\v_o = -15 m/s\\v_s = -23 m/s](https://tex.z-dn.net/?f=v%20%3D%20343%20m%2Fs%5C%5Cf%20%3D%20164%20Hz%5C%5Cv_o%20%3D%20-15%20m%2Fs%5C%5Cv_s%20%3D%20-23%20m%2Fs)
Substituting, we find:
![f'=(\frac{343-15}{343-23})(164)=168.1 Hz](https://tex.z-dn.net/?f=f%27%3D%28%5Cfrac%7B343-15%7D%7B343-23%7D%29%28164%29%3D168.1%20Hz)
2. ![2.96\cdot 10^8 m/s](https://tex.z-dn.net/?f=2.96%5Ccdot%2010%5E8%20m%2Fs)
The speed of light can be calculated as
![v=\frac{d}{t}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bd%7D%7Bt%7D)
where
d is the distance travelled
t is the time taken
In this problem:
is the total distance travelled by the laser beam (twice the distance between the Earth and the Moon)
t = 2.60 s is the time taken
Substituting in the formula,
![v=\frac{7.7\cdot 10^8 m}{2.60 s}=2.96\cdot 10^8 m/s](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B7.7%5Ccdot%2010%5E8%20m%7D%7B2.60%20s%7D%3D2.96%5Ccdot%2010%5E8%20m%2Fs)
Answer:
Force F = 69.35 N
Explanation:
given data
Ball Initial speed u = 0
Ball Final speed v = 42.1 m/s
average power generate = 2920 W
solution
Power generate is express as
P=
..............1
here W is work done and t is time
and work w = F × d
so
P=
and we know speed v =
so here
Power P = F × v
put here value and we get force
Force F =
Force F = 69.35 N