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Masja
3 months ago
7

Sitting in a second-story apartment, a physicist notices a ball moving straight upward just outside her window. The ball is visi

ble for 0.20 s as it moves a distance of 1.19 m from the bottom to the top of the window. How long does it take before the ball reappears?
Physics
1 answer:
Yuliya22 [3.3K]3 months ago
7 0

Answer:

1.013 seconds

Explanation:

This question can be addressed using formulas related to constant acceleration motion. The velocity at the bottom of the window can be computed with this formula:

(x-x_o) = \frac{1}{2} at^2 + v_ot = -\frac{1}{2}gt^2 + v_ot

Gravity is considered negative since it counteracts the motion.

(x-x_o) = -\frac{1}{2}gt^2 + v_ot\\v_o = \frac{(x-x_o)+\frac{1}{2}gt^2}{t} = \frac{1.19m+\frac{1}{2} 9.81m/s^2(0.2s)^2}{0.2s} = 6.931 m/s

The time it takes for the ball to be visible again is double the duration it takes for the ball to traverse from the bottom of the window to the peak height and then back down to the bottom, minus twice the time needed for the ball to go from the top to the bottom of the window. The time for the ball to reach its peak height, or the time it takes for its speed to go from vo to 0 m/s, is represented as:

t_1 = \frac{0m/s - v_o}{g} = \frac{-6.931 m/s}{-9.81m/s^2} = 0.706 s

Thus:

t = 2t_1 - 2*0.2s = 2*(0.706s) - 0.4s = 1.013 s

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σ₁ = 3.167 * 10^{-6} C/m²

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Explanation:

Provided Information:

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