Answer:
1.25 kg·m²
Explanation:
Multiply each mass by the square of its distance from the center of rotation. The moment of inertia of the system is the sum of those products.
(a) I = Σ(mr²) = (3.0 kg)(0.30 m)² +(2.0 kg)(0.70 m)² = 1.25 kg·m²
Answer:
The magnitude of the boy's displacement is 24.698 paces which is in the direction of approximately 58.24° North of East
Explanation:
The given parameters are;
The distance West the boy on a treasure hunt walks = 12 paces
The distance North the boy on a treasure hunt then walks = 21 paces
The distance East the boy on a treasure hunt then walks = 25 paces
Writing the displacement in vector format, gives;
d = -12·i + 21·j + 25·i
Which gives
d = 13·i + 21·j
The magnitude of the boy's resultant displacement is given as follows;
![\left | \mathbf{d} \right | = \sqrt{d_x^2 + d_y^2}](https://tex.z-dn.net/?f=%5Cleft%20%7C%20%5Cmathbf%7Bd%7D%20%5Cright%20%7C%20%3D%20%5Csqrt%7Bd_x%5E2%20%2B%20d_y%5E2%7D)
Where;
![d_x = 13, \ d_y = 21](https://tex.z-dn.net/?f=d_x%20%3D%2013%2C%20%5C%20d_y%20%3D%2021)
![\left | \mathbf{d} \right | = \sqrt{13^2 + 21^2} = \sqrt{610} \approx 24.698 \ paces](https://tex.z-dn.net/?f=%5Cleft%20%7C%20%5Cmathbf%7Bd%7D%20%5Cright%20%7C%20%3D%20%5Csqrt%7B13%5E2%20%2B%2021%5E2%7D%20%3D%20%5Csqrt%7B610%7D%20%20%5Capprox%2024.698%20%5C%20paces)
The magnitude of the boy's displacement is 24.698 paces
The direction of the displacement is tan⁻¹(21/13) ≈ 58.24° North of East.
Answer:
Bottom of the circle.
Explanation:
At the top of the circle the tension and the weight contribute on being the centripetal force, at the middle of the circle only the tension contributes on being the centripetal force (the weight being perpendicular to it), while <u>at the bottom</u> of the circle the tension contributes on being the centripetal force (as always) <em>but the weight against to it</em>, so here is where the tension must be greater to allow the same centripetal force as the other cases, thus here is where the string will break.
Mass is the answer I guess
The answer is A because it is an example of red shift which if basically the Doppler effect , but for light. The wavelength gets longer because it has visible light has shifted into the red end of the spectrum, showing that it has a shorter frequency with a longer wavelength; meaning it is moving away from us