Answer:
The maximum value of the driving force is 1044.01 N.
Explanation:
Given that,
Weight of the object, W = 50 N
Force constant of the spring, k = 210 N/m
The system is undamped and is subjected to a harmonic driving force of frequency 11.5 Hz.
Amplitude, A = 4 cm
We need to find the maximum value of the driving force. The force is given by the product of mass and maximum acceleration as :
.....(1)
A is amplitude
m is mass,
![m=\dfrac{W}{g}\\\\m=\dfrac{50}{10}\\\\m=5\ kg](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7BW%7D%7Bg%7D%5C%5C%5C%5Cm%3D%5Cdfrac%7B50%7D%7B10%7D%5C%5C%5C%5Cm%3D5%5C%20kg)
is angular frequency
Angular frequency is given by :
![\omega=2\pi f\\\\\omega=2\pi \times 11.5\\\\\omega=72.25\ rad/s](https://tex.z-dn.net/?f=%5Comega%3D2%5Cpi%20f%5C%5C%5C%5C%5Comega%3D2%5Cpi%20%5Ctimes%2011.5%5C%5C%5C%5C%5Comega%3D72.25%5C%20rad%2Fs)
Equation (1) becomes :
![F=5\times 0.04\times 72.25^2\\\\F=1044.01\ N](https://tex.z-dn.net/?f=F%3D5%5Ctimes%200.04%5Ctimes%2072.25%5E2%5C%5C%5C%5CF%3D1044.01%5C%20N)
So, the maximum value of the driving force is 1044.01 N.
Answer:
for abt 36 seconds
Explanation: cuz thats how long it was
By Newton's Law of Universal Gravitation.
F = GMm/r²
Where F is Force of Gravitation, M = Mass of first object, m = mass of second object, r = distance of separation
From the formula, you can see that if the masses, M and m, increased, the value of F would definitely increase as well.
And if r increased the value of F would be reduced because you would be dividing by a bigger number, but when the value of r is decreased the value of F would be increased, because you would then be dividing by something smaller. Note the r is at the denominator of the formula.
So F would increase if there was increase in Masses and decrease in distance.
So the answer is C. a and b.
Answer:
0.18 amperes
Explanation:
V = 9
R = 50 ohms
I = ?
Formula
V = I * R
Solution
9 = I * 50 Divide by 50. Switch
I = 9 / 50
I = 0.18 amperes.
If you know what a milliampere is then it is 180 ma which is very large for a 9 volt battery to handle