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Oksi-84 [34.3K]
3 years ago
10

Tarzan, in one tree, sights Jane in another tree. He grabs the end of a vine with length 20 m that makes an angle of 45 degrees

with the vertical, steps off his tree limb, and swings down and then up to Jane's open arms. When he arrives, his vine makes an angle of 30 degrees with the vertical. Calculate Tarzan's speed just before he reaches Jane. You can ignore air resistance and the mass of the vine.
Physics
1 answer:
madam [21]3 years ago
3 0

Answer:

v = 7.9 m/s

Explanation:

length of the vine (L) = 20 m

initial angle with the vertical = 45 degrees

final angle with the vertical = 30 degrees

acceleration due to gravity (g) = 9.8 m/s^{2}

speed (v) =?

to solve this problem we can apply the equation below:

loss in potential energy = gain in kinetic energy

m x g x h = 1/2 x m x v^{2}

v = \sqrt{2gh}

before we can apply the above we need to get our height

height = initial vertical height - final vertical height

height = (L - L cosθ2) -  (L - L cosθ1)

height = (20 - 20cos45) - (20 - 20cos30) = 3.2 m

v = \sqrt{2 x 9.8 x 3.2}

v = 7.9 m/s

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A ball has a mass of 1.5kg and is thrown straight up with a speed of 60m/s, what is the ball’s momentum:
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a. The momentum of the ball would be approximately 60\;\rm kg \cdot m \cdot s^{-1} two seconds after it is tossed into the air.

b. The momentum of the ball would be approximately \rm \left(-45\; \rm kg \cdot m \cdot s^{-1}\right) three seconds after it reaches the highest point (assuming that it didn't hit the ground.) This momentum is smaller than zero because it points downwards.

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3 years ago
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