Answer: The period of the pendulum will increase. Because of less gravity
Explanation:
Since the force of gravity is less on the Moon, the pendulum would swing slower at the same length and angle and its frequency would be less. Hence more time period will be experienced by the pendulum. On the moon, the acceleration due to gravity g is less when compared to that of the earth.
If a ball is if a ball is dropped from a 576ft building it would take about 8 seconds for it to hit the ground.
Answer:
The right answer is:
(a) 63.83 kg
(b) 0.725 m/s
Explanation:
The given query seems to be incomplete. Below is the attachment of the full question is attached.
The given values are:
T = 3 sec
k = 280 N/m
(a)
The mass of the string will be:
⇒ ![T=2 \pi\sqrt{\frac{m}{k} }](https://tex.z-dn.net/?f=T%3D2%20%5Cpi%5Csqrt%7B%5Cfrac%7Bm%7D%7Bk%7D%20%7D)
or,
⇒ ![m=\frac{k T^2}{4 \pi^2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7Bk%20T%5E2%7D%7B4%20%5Cpi%5E2%7D)
On substituting the values, we get
⇒ ![=\frac{280\times (3)^2}{4 \pi^2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B280%5Ctimes%20%283%29%5E2%7D%7B4%20%5Cpi%5E2%7D)
⇒ ![=\frac{280\times 9}{4\times (3.14)^2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B280%5Ctimes%209%7D%7B4%5Ctimes%20%283.14%29%5E2%7D)
⇒ ![=68.83 \ kg](https://tex.z-dn.net/?f=%3D68.83%20%5C%20kg)
(b)
The speed of the string will be:
⇒ ![\frac{1}{2}k(0.4)^2=\frac{1}{2}k(0.2)^2+\frac{1}{2}mv^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dk%280.4%29%5E2%3D%5Cfrac%7B1%7D%7B2%7Dk%280.2%29%5E2%2B%5Cfrac%7B1%7D%7B2%7Dmv%5E2)
then,
⇒ ![v=\sqrt{\frac{k((0.4)^2-(0.2)^2)}{m} }](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cfrac%7Bk%28%280.4%29%5E2-%280.2%29%5E2%29%7D%7Bm%7D%20%7D)
On substituting the values, we get
⇒ ![=\sqrt{\frac{280\times ((0.4)^2-(0.2)^2)}{63.83} }](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B280%5Ctimes%20%28%280.4%29%5E2-%280.2%29%5E2%29%7D%7B63.83%7D%20%7D)
⇒ ![=\sqrt{\frac{280(0.16-0.04)}{63.83} }](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B280%280.16-0.04%29%7D%7B63.83%7D%20%7D)
⇒ ![=\sqrt{\frac{280\times 0.12}{63.83} }](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B280%5Ctimes%200.12%7D%7B63.83%7D%20%7D)
⇒ ![=0.725 \ m/s](https://tex.z-dn.net/?f=%3D0.725%20%5C%20m%2Fs)
Answer:
i think it would be which angle converts the most potential energy to into kinetic energy of the turbine
Explanation: because the windmill makes kinetic energy and converts it into mechanical power. then a generator takes the mechanical power and makes it into electricity