Answer:
The answer would be A. The waves that heat a cup of water in a microwave oven
Answer:
a) 0.31 rad/s
b) 100 J
c) 6.67 W
Explanation:
(a) the force would generate a torque of:
![T = FR = 18 * 2.4 = 43.2 Nm](https://tex.z-dn.net/?f=T%20%3D%20FR%20%3D%2018%20%2A%202.4%20%3D%2043.2%20Nm)
According to Newton 2nd law, the angular acceleration would be
![\alpha = \frac{T}{I} = \frac{43.2}{2100} = 0.021 rad/s^2](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7BT%7D%7BI%7D%20%3D%20%5Cfrac%7B43.2%7D%7B2100%7D%20%3D%200.021%20rad%2Fs%5E2)
It starts from rest, then after 15s it would achieve a speed of
![\omega = \alpha t = 0.021 * 15 = 0.31 rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Calpha%20t%20%3D%200.021%20%2A%2015%20%3D%200.31%20rad%2Fs)
(b) The distance angle swept by it is:
![\theta = \frac{\alpha t^2}{2} = \frac{0.021 * 15^2}{2} = 2.314 rad](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cfrac%7B%5Calpha%20t%5E2%7D%7B2%7D%20%3D%20%5Cfrac%7B0.021%20%2A%2015%5E2%7D%7B2%7D%20%3D%202.314%20rad)
Hence the work by the child
![W = T\theta = 43.2 *2.314 \approx 100 J](https://tex.z-dn.net/?f=W%20%3D%20T%5Ctheta%20%3D%2043.2%20%2A2.314%20%20%5Capprox%20100%20J)
c) Average power to work per time unit
![P = \frac{W}{t} = \frac{100}{15} = 6.67 W](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7BW%7D%7Bt%7D%20%3D%20%5Cfrac%7B100%7D%7B15%7D%20%3D%206.67%20W)
That is FALSE. The equation to calculate the charges has a distance component that is in the denominator which means that it is inversely proportional (as the distance os greater the force is smaller)
Velocity is distance/time
so 150/7200=.0208km/s
unless you have to convert it to miles or something else. but use the formula!