Answer:
F = M a = M v^2 / R
If v is increased by three the force will be increased by nine,
C) is correct
The angular speed of the playground ride is determined as 0.3 rad/s.
<h3>
What is angular speed?</h3>
Angular speed is the rate at which an object changes it angles which we measure in radians in a given time.
<h3>
Angular speed of the ride</h3>
The angular speed of the ride if the ride makes one complete revolution is calculated as follows;
ω = θ/t
ω = 2π/t
where;
- ω is angular speed of the ride
- t is time of motion of the ride
one complete revolution = 2π radians
ω = 2π/21
ω = 0.3 rad/s
Thus, the angular speed of the playground ride is determined as 0.3 rad/s.
Learn more about angular speed here: brainly.com/question/24158647
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The complete question is below;
A playground ride requires 21 seconds to make one complete revolution, what is angular speed of the ride in radian per second.
Frequency and wavelength are inversely related. That is, when frequency increases, the value of the wavelength decreases and vice versa. The constant of proportionality of the relation is the speed of light that has a value of 3.0x10^8 m/s. We calculate as follows:
wavelength = speed of light /frequency
488x10^-9 = 3.8x10^8 / frequency
frequency = 6.15x10^14 /s = 6.15x10^14 Hz ------> OPTION 3
Answer:
1.65
Explanation:
The equation of the forces along the horizontal direction is:
(1)
where
F = 65 N is the force applied with the push
is the frictional force
m = 4 kg is the mass
is the acceleration
The force of friction can be written as 
(2), where
is the coefficient of kinetic friction
R is the normal force exerted by the floor
The equation of forces along the vertical direction is
(3)
since the bookcase is in equilibrium. Substituting (2) and (3) into (1), we find
And solving for ,
