Answer:
Mass of Jupiter = 4.173×10^15kg
Explanation:
Using Kepler's 3rd law, it states that the orbital period T is related to the distance,r as:
T^2 = GM/4 pi × r^3
Where G = universal gravitational constant
r = radius
M = masd of jupiter
Rearranging the formular to make M the subject of formular
T^2 × 4 pi = G M × r^3
(T^2 × 4 pi) / (G× r^3) = M
(1.24^2 × 4 × 3.142) /(6.672×10^-11)(4.11×10^8)^3
M = 19.32 /6.672×10^-11)(4.11×10^8)^3
M = 19.32 / 4.63 ×10^15
M = 4.173×10^15kg
kinetic <span>energy when the pitcher has thrown it or when one of the other players has thrown the ball. The baseball also has </span>kinetic<span> energy when the batter hits the ball. when you catch the ball it is potential energy.</span>
Answer:
-5.29 m/s
Explanation:
Given:
y₀ = 1.43 m
y = 0 m
v₀ = 0 m/s
a = -9.8 m/s²
Find: v
v² = v₀² + 2a (y − y₀)
v² = (0 m/s)² + 2(-9.8 m/s²) (0 m − 1.43 m)
v = -5.29 m/s
Answer:
a) 800 km
b) 9.79° & 12.47°
Explanation:
It is known that the wavelength of any material or substance is given by the relation 入 = v/f
From the question, the time between the crest is given as 1.0 h, therefore, t = 1.0 h
Also, remember that frequency, f can be represented by
f = 1/t, and thus,
f = 1/1.0 h = 1.0 h^-1. This is our frequency, and would be used in the primary stated formula
入 = v/f, from the question, the speed is already stated as 800 km/h, so we apply directly
入 = 800 / 1
入 = 800 km. Therefore, the wavelength of the tsunami is 800 km
B,
the smallest angle between the Southern tip of Africa is
Sinθ = 800 / 4500
Sinθ = 0.17
θ = Sin^-1 0.17
θ = 9.79°
The smallest angle between the Southern end of Australia is
Sinθ = 800 / 3700
Sinθ = 0.216
θ = Sin^-1 0.216
θ = 12.47°