Answer:
E = 0.01 J
Explanation:
Given that,
The mass of the cart, m = 0.15 kg
The force constant of the spring, k = 3.58 N/m
The amplitude of the oscillations, A = 7.5 cm = 0.075 m
We need to find the total mechanical energy of the system. It can be given by the formula as follows :

Put all the values,

So, the value of total mechanical energy is equal to 0.01 J.
Answer is B. According to the equation of motion s = vt + 1/2 at2 Where s is distance covered, v is velocity, a is acceleration and t is time taken. So, by putting all the values, we get s = (20)(5) + 1/2 (3)(5)2 s = 100 + 1/2 (3)(25) s = 100 + 1/2 75 s = 100 + 37.5 s = 137.5 meters
Answer:
C
Explanation:
Lifting heavy weights every day
The statement that is true is a. the large bran muffin contains more heat energy. This statement holds true because of the equation E=mc2. E= Energy, m=mass and c=the speed of light. Although both muffins are at room temperature, the larger will theoretically have more heat energy because it has more mass.
Answer:
The angle between two just-resolvable stars for the Arecibo telescope is
.
Explanation:
The resulting image in a telescope obtained from an object is a diffraction pattern.
That diffraction pattern is obtained because the light encounters different obstacles on its path inside the telescope (interact with the walls and edges of the instrument).
The diffraction pattern is composed by a central disk, called Airy disk, and diffraction rings.
The angular resolution is defined as the minimal separation at which two sources can be resolved one for another, or in other words, when the distance between the two diffraction patterns maxima is greater than the radius of the Airy disk.
The angular resolution can be determined in an analytical way by means of the Rayleigh criterion.
(1)
Where
is the wavelength and D is the diameter of the telescope.
Notice that it is necessary to express the wavelength in the same units than the diameter.
⇒
Finally, equation 1 can be used.
Hence, the angle between two just-resolvable stars for the Arecibo telescope is