Answer:
Explanation:
Tarzan swing can be thought of as change in potential energy by going from higher location We solve for height of beginning of the swing by using simple cosine equation:
So
ΔE=mg(h₂-h₁)
The potential energy of Tarzan initial position is converted into kinetic energy of his swing.By using kinetic equation
If any of them do, it's not intentional, that is, it's not part of
the design of the communications satellite.
Communications satellites communicate with their customers
and their control centers on the ground using plain old UHF radio
and microwave signals.
Explanation:
The object is moving along the parabola y = x² and is at the point (√2, 2). Because the object is changing directions, it has a centripetal acceleration towards the center of the circle of curvature.
First, we need to find the radius of curvature. This is given by the equation:
R = [1 + (y')²]^(³/₂) / |y"|
y' = 2x and y" = 2:
R = [1 + (2x)²]^(³/₂) / |2|
R = (1 + 4x²)^(³/₂) / 2
At x = √2:
R = (1 + 4(√2)²)^(³/₂) / 2
R = (9)^(³/₂) / 2
R = 27 / 2
R = 13.5
So the centripetal force is:
F = m v² / r
F = m (5)² / 13.5
F = 1.85 m
