Answer:
i/f = i/o + i/i f = focal, o = object, i = image
1 / i = 1 / f - 1 / o = (o - f) / o f
i = o * f / ( o - f) image distance
i = 12.5 * 22 / (12.5 - 22) = -28.9 cm
Image is real
Image is 28.9 cm to left of lens
M = - i / o = = 28.9 / 12.5 = 2.3 magnification (convex lens)
Its vey True trust me on this when I say it is
First, you find the velocity at each component. The general equation is:
a = (v2 - v1)/t
a,x = (v2,x - v1,x)/t
-0.105 = (v2,x - 8.57)/6.67
v2,x = 7.87 m/s
a,y = (v2,y - v1,y)/t
0.101 = (v2,y - -2.61)/6.67
v2,y = -1.94 m/s
To find the final speed, find the resultant velocity by taking the hypotenuse.
v^2 = (v2,x)^2 + (v2,y)^2
v^2 = (7.87)^2 + (-1.94)^2
v = 8.1 m/s
Answer:
<em>About four million tons of </em><em><u>matter</u></em><em> are converted to energy in the Sun’s core every second</em>
Explanation:
<u>The Sun
</u>
It's estimated that The Sun fuses near 600 million tons
of hydrogen into helium every second. As a result, 4 million tons of matter are converted to energy every second according to Einstein's equation ![E=mc^2](https://tex.z-dn.net/?f=E%3Dmc%5E2)
Answer: ![107.8\ J](https://tex.z-dn.net/?f=107.8%5C%20J)
Explanation:
Given
Initial position of object is (4.4 i+5 j)
Final position of object is (11.6 i -2 j)
Force acting (4i-9j)
Work done is given by
![\Rightarrow W=F\cdot dx\\\Rightarrow W=(4i-9j)\cdot (11.6i-4.4i-2j-5j)\\\Rightarrow W=(4i-9j)\cdot (7.2i-7j)\\\Rightarrow W=28.8+63\\\Rightarrow W=91.8\ J](https://tex.z-dn.net/?f=%5CRightarrow%20W%3DF%5Ccdot%20dx%5C%5C%5CRightarrow%20W%3D%284i-9j%29%5Ccdot%20%2811.6i-4.4i-2j-5j%29%5C%5C%5CRightarrow%20W%3D%284i-9j%29%5Ccdot%20%287.2i-7j%29%5C%5C%5CRightarrow%20W%3D28.8%2B63%5C%5C%5CRightarrow%20W%3D91.8%5C%20J)
Initial kinetic energy
![K_i=\dfrac{1}{2}\times 2\times 4^2\\\\K_i=16\ J](https://tex.z-dn.net/?f=K_i%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%202%5Ctimes%204%5E2%5C%5C%5C%5CK_i%3D16%5C%20J)
Change in kinetic energy is equal to work done by object
![\Rightarrow K_f=K_i+W\\\Rightarrow K_f=16+91.8\\\Rightarrow K_f=107.8\ J](https://tex.z-dn.net/?f=%5CRightarrow%20K_f%3DK_i%2BW%5C%5C%5CRightarrow%20K_f%3D16%2B91.8%5C%5C%5CRightarrow%20K_f%3D107.8%5C%20J)