Answer: 1.76 s
Explanation:
We have the following data:
is the total mass of the bike and the rider
is the initial velocity
is the force applied to the brakes
Firstly, we will find the acceleration with the following equation:
(1)
Isolating :
(2)
(3)
(4) This is the magnitude of the acceleration, however, since the final velocity is 0 m/s, this means the direction is negative
Hence:
(5)
On the other hand, with the following equation we can find the time :
(6)
Where:
is the final velocity (the bike stops)
Isolating :
(7)
(8)
Finally:
This iste time it takes to the bike to stop
360.67 is the speed of waves on a violin string of mass 707 mg and length of 21.4 cm if the fundamental frequency is 867 Hz.
Mass per unit length of string н = mass/length
= 505×10⁻⁶ kg/ 0.204 m
= 2.47×10-³ kg/m
∫о
Fundamental frequency ∫о=884 Hz
a. Speed of waves v = 2L∫о
= 2×0.204 m x 884 Hz
=360.67 m/s.
For example, if the fundamental frequency is 50 Hz (also called the first harmonic), the second harmonic is 100 Hz (50 * 2 = 100 Hz), and the third harmonic is 150 Hz (50 * 3 = 150 Hz ). Such.
The fundamental frequency is the lowest frequency of the resonant system. This is an important concept in many aspects of musical instruments and engineering. For example, all harmonics of a particular wave are based on the fundamental frequency.
Learn more about the fundamental frequency at
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The existence of atmosphere increases the average planetary temperature by more than 15°C, due to the greenhouse effect of some atmospheric compounds. The most important of them are water vapour (H2O), ozone (O3), carbon dioxide (CO2), and methane (CH4).
Answer:
The answer is that the worker should not be worried.
Explanation:
At equilibrium position, the net torque is equal to zero
∑tnet = 0
((-mg) * (D/2)) + ((-mg) * (D-d)) + (T * sinθ * D) = 0
Clearing the tension in the cable T:
Since this tension (14727.24 N) is less than the nominal tension (15354 N), the worker should not be concerned.
Answer:
7.9 x 10^21 pound-force
Explanation:
The average distance between the Earth and sun is 150 trillion meters, or 1.5 x 10^11 meters. The mass of the sun is 1.99 x 10^30 kilograms, while the Earth weighs in at 6.0 x 10^24 kilograms. The gravitational constant is 6.67 x 10^-11 meter^3 / (kilogram - second^2). So the Earth and sun pull on each other with a force equal to 3.52 x 10^22 newtons. The newton is a unit of force equal to a kilogram-meter/second^2. One newton is equal to 0.22 of the rarely used English unit called pound-force, so 3.52 x 10^22 newtons is 7.9 x 10^21 pound-force.