Answer:
The centripetal acceleration changed by a factor of 0.5
Explanation:
Given;
first radius of the horizontal circle, r₁ = 500 m
speed of the airplane, v = 150 m/s
second radius of the airplane, r₂ = 1000 m
Centripetal acceleration is given as;
![a = \frac{v^2}{r}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7Bv%5E2%7D%7Br%7D)
At constant speed, we will have;
![v^2 =ar\\\\v = \sqrt{ar}\\\\at \ constant\ v;\\\sqrt{a_1r_1} = \sqrt{a_2r_2}\\\\a_1r_1 = a_2r_2\\\\a_2 = \frac{a_1r_1}{r_2} \\\\a_2 = \frac{a_1*500}{1000}\\\\a_2 = \frac{a_1}{2} \\\\a_2 = \frac{1}{2} a_1](https://tex.z-dn.net/?f=v%5E2%20%3Dar%5C%5C%5C%5Cv%20%3D%20%5Csqrt%7Bar%7D%5C%5C%5C%5Cat%20%5C%20constant%5C%20v%3B%5C%5C%5Csqrt%7Ba_1r_1%7D%20%3D%20%5Csqrt%7Ba_2r_2%7D%5C%5C%5C%5Ca_1r_1%20%3D%20a_2r_2%5C%5C%5C%5Ca_2%20%3D%20%5Cfrac%7Ba_1r_1%7D%7Br_2%7D%20%5C%5C%5C%5Ca_2%20%3D%20%5Cfrac%7Ba_1%2A500%7D%7B1000%7D%5C%5C%5C%5Ca_2%20%3D%20%5Cfrac%7Ba_1%7D%7B2%7D%20%5C%5C%5C%5Ca_2%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20a_1)
a₂ = 0.5a₁
Therefore, the centripetal acceleration changed by a factor of 0.5
Answer:
Longest wavelength, lowest intensity
Explanation:
Answer:
![a = 0.894\ m/s^2](https://tex.z-dn.net/?f=a%20%3D%200.894%5C%20m%2Fs%5E2)
Explanation:
<u>Motion with Constant Acceleration</u>
A body moves with constant acceleration when the speed changes uniformly in time. The equation used to find the final speed vf is
![v_f=v_o+at](https://tex.z-dn.net/?f=v_f%3Dv_o%2Bat)
Where vo is the initial speed, a is the acceleration, and t is the time.
The cyclist has an initial speed of vo=10 miles/hour and ends up at vf=20 miles/hour in t=5 seconds.
Both speeds are given in miles/hour and we must convert it to m/s:
1 mile/hour = 0.44704 m/s
10 mile/hour = 4.47 m/s
20 mile/hour = 8.94 m/s
The acceleration is calculated by solving for a:
![\displaystyle a=\frac{v_f-v_o}{t}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%3D%5Cfrac%7Bv_f-v_o%7D%7Bt%7D)
![\displaystyle a=\frac{8.94-4.47}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%3D%5Cfrac%7B8.94-4.47%7D%7B5%7D)
![a = 0.894\ m/s^2](https://tex.z-dn.net/?f=a%20%3D%200.894%5C%20m%2Fs%5E2)
watts = work per second.
work is mgh = 3x10x50=1500
watts out = 1500
Watts used = 2000
eff=1500/2000=75%
The rocket engine works on the basic principle proposed by Newton which is Newton’s Third Law.