Answer:
a) According to Newton's law of gravitation, as the distance between the Moon and the Earth decreases, the gravitational attraction increases and vice versa
The gravitational force of the Moon on the Earth causes the Earth to be slightly bulged on the side directly facing the Moon
The gravitational force also pulls the water bodies on the Earth's surface towards the Moon in the same manner and the effect is more pronounced due to the ability of the liquid water to assume a shape based on the magnitude of the gravitational field attracting it
Therefore, the region where the Moon is closest to the Earth we have a high tide as the water level rises and the region which is perpendicular to where the Moon is located has a low tide
b) The two special types of tides are
1) The neap tide
2) The spring tide
Neap tide
Neap tide occurs when the Sun and Moon are 90° apart from each other when they are viewed by an observer from Earth
The gravitational pull of the Sun cancels (partially) the effect of the gravitational pull and tidal force of the Moon, resulting in minimum tidal range
Spring Tide
Spring tide occurs when the Earth, the Moon, and the Sun are simultaneously inline, such that the Sun reinforces the gravitational pull and tidal force of the Moon, resulting in a maximum tidal range
Explanation:
Answer:
d(L)/dt = 6,96 ft/s
Explanation:
We have a right triangle where the hypotenuse (L) is the distance between the player and home plate, the legs are the line between third base and home plate ( 90 feet ) and distance between the player and third base (x) (over the line between second and third base). So we can write
L² = (90)² + x²
Applying differentiation in relation to time, on both sides of the equation we have:
2*LdL/dt = 0 + 2*x d(x)/dt (2)
In this equation we know:
d(x)/ dt = 22 feet/sec
x = 30 ft
We need to calculate L when the player is at 30 feet from third base
Then
L² = (90)² + (30)²
L² = 8100 + 900
L = √9000
L =94,87 feet
Then we are in condition for calculate d(L)/dt from the equation
2*Ld(L)/dt = 0 + 2*x d(x)/dt
2*94,87 * d(L)/dt = 2* 30* 22 ⇒ 189,74 d(L)/dt = 1320
d(L)/dt = 1320/ 189,74
d(L)/dt = 6,96 ft/s
