A 5kg bucket hangs from a ceiling on a rope. A student attaches a spring scale to the buckets handle and pulls horizontally on t

1950 g This is the result of lead being spread out in kilograms

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The radius of the moon's orbit is calculated as R = 7.715 x 10⁷ m, and the moon's orbital period is T = 14.48 hr. The given orbital speed of the moon is v = 9.3 x 10³ m/s, with Neptune's mass being M = 1.0 x 10²⁶ Kg. The moon's orbital velocity can be expressed using the formula. Therefore, by squaring the equation and resolving for r + h, we calculate: R = GM / v². Upon substituting in, we find R to be 7.715 x 10⁷ m. The relation for the moon's orbital period yields T = 2π/ω and simplistically, T = 2πR/v, where ω = v/r. Following this, we compute T, leading to the conclusion: T = 14.48 hr.

The sound wave intensity at the sphere's surface is described as follows: B = Bulk modulus. The oscillation amplitude of the sphere can be represented as: Substitute velocity and amplitude into Pmax. The intensity of the sound wave at a distance is determined by:

The infinitesimal charge dQ on a layer with thickness dr is expressed as

dQ = (charge density) × (surface area) × dr

dQ = ρ(r)4πr²dr

∫ dQ = ∫ (a/r)4πr²dr

∫ dQ = 4πa ∫ rdr

Q(r) = 2πar² - 2πa0²

Q = 2πar² (= total charge confined within a spherical surface of radius r)

According to Gauss's Law:

(Flux through surface) = (charge enclosed by surface)/ε۪

(Surface area of sphere) × E = Q/ε۪

4πr²E = 2πar²/ε۪

<span>E = a/2ε۪


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