The thermal energy that is generated due to friction is 344J.
<h3>What is the thermal energy?</h3>
Now we know that the total mechanical energy in the system is constant. The loss in energy is given by the loss in energy.
Thus, the kinetic energy is given as;
KE = 0.5 * mv^2 =0.5 * 15.0-kg * (1.10 m/s)^2 = 9.1 J
PE = mgh = 15.0-kg * 9.8 m/s^2 * 2.40 m = 352.8 J
The thermal energy is; 352.8 J - 9.1 J = 344J
Learn more about thermal energy due to friction:brainly.com/question/7207509
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The formula we use
here is:
radial acceleration =
ω^2 * R <span>
110,000 * 9.81 m/s^2 = ω^2 * 0.073 m
<span>ω^2 = 110,000 * 9.81 / 0.073
ω = 3844.76 rad/s </span></span>
<span>and since: ω = 2pi*f --> f = ω/(2pi)</span><span>
f = 3844.76 / (2pi) = 611.91 rps = 611.91 * 60 rpm
<span>= 36,714.77 rpm </span></span>
Answer:
126 mWb
Explanation:
Given that:
length (L) = 50 cm = 0.5 m, radius (r) = 5 cm = 0.05 m, current (I) = 10 A, number of turns (N) = 800 turns.
We assume that the magnetic field in the solenoid is constant.
The magnetic flux is given as:
![\phi_m=NBAcos(\theta)\\Where\ B\ is\ the\ magnetic\ field\ density,A\ is \ the\ area.\\But\ B =\mu_onI.\ n \ is\ the\ number\ of\ turns\ per\ unit \ length=N/L\\Therefore,B=\frac{\mu_oNI}{L} \\substituting\ the\ value\ of\ B\ in\ the\ equation: \\\phi_m=\frac{NAcos(\theta)*\mu_oNI}{L} .\ But \ \theta=0,cos(\theta)=1\ and\ A=\pi r^2\\ \phi_m=\frac{N^2\pi r^2\mu_oI}{L} \\Substituting\ values:\\\phi_m=\frac{800^2*(\pi*0.05^2)*(4\pi*10^{-7})*10}{0.5}=0.126\ Wb=126\ mWb](https://tex.z-dn.net/?f=%5Cphi_m%3DNBAcos%28%5Ctheta%29%5C%5CWhere%5C%20B%5C%20is%5C%20the%5C%20magnetic%5C%20field%5C%20density%2CA%5C%20is%20%5C%20the%5C%20area.%5C%5CBut%5C%20B%20%3D%5Cmu_onI.%5C%20n%20%5C%20is%5C%20the%5C%20number%5C%20of%5C%20turns%5C%20per%5C%20unit%20%5C%20length%3DN%2FL%5C%5CTherefore%2CB%3D%5Cfrac%7B%5Cmu_oNI%7D%7BL%7D%20%5C%5Csubstituting%5C%20the%5C%20value%5C%20of%5C%20B%5C%20in%5C%20the%5C%20equation%3A%20%5C%5C%5Cphi_m%3D%5Cfrac%7BNAcos%28%5Ctheta%29%2A%5Cmu_oNI%7D%7BL%7D%20.%5C%20But%20%5C%20%5Ctheta%3D0%2Ccos%28%5Ctheta%29%3D1%5C%20and%5C%20A%3D%5Cpi%20r%5E2%5C%5C%20%5Cphi_m%3D%5Cfrac%7BN%5E2%5Cpi%20r%5E2%5Cmu_oI%7D%7BL%7D%20%5C%5CSubstituting%5C%20values%3A%5C%5C%5Cphi_m%3D%5Cfrac%7B800%5E2%2A%28%5Cpi%2A0.05%5E2%29%2A%284%5Cpi%2A10%5E%7B-7%7D%29%2A10%7D%7B0.5%7D%3D0.126%5C%20Wb%3D126%5C%20mWb)
Answer:
4km/hr
Explanation:
There are 60 minute in an hour. If you divided 60 by 30 minutes you’d get 2. 2x 2km is 4km and 30x 2 is 60/an hour