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dalvyx [7]
2 years ago
15

A rocket, weighing 43576 N, has an engine that provides an upward force of 11918 N. It reaches a maximum speed of 713 m/s. For h

ow much time must the engine burn during the launch in order to reach this speed? Call up positive.
Physics
1 answer:
vladimir1956 [14]2 years ago
8 0
Answer: 266.0 s ≈ 4.4 min

Explanation:

1) Data

Wr = 43,576 N
F = 11,918 N
V = 713 m/s
t =?

2) Principles and formulas

Impulse and conservation of momentum

I = F.t = Δp

Δp = mΔv

3) Solution

m = Wr / g = 43,576N / 9.8 m/s^2 = 4,446.5 kg

Δp = mΔv => 4,446.5 kg * 713 m/s = 3,170,354,5 N*s

I = F.t = Δp  => t = Δp / F = 3,710,354.5 N*s / 11,918N = 266.0 s

t = 266.0 s ≈ 4.4 min
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3 years ago
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A hollow cylinder that is rolling without slipping is given a velocity of 5.0 m/s and rolls up an incline to a vertical height o
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Answer:

The hollow cylinder rolled up the inclined plane by 1.91 m

Explanation:

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The total energy at the bottom of the inclined plane = total energy at the top of the inclined plane.

\frac{1}{2}mv_i^2 + \frac{1}{2} I \omega_i^2 + mg(0) =  \frac{1}{2}mv_f^2 + \frac{1}{2} I \omega_f^2 + mgh

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substitute for I in the equation above;

\frac{1}{2}mv_i^2 + \frac{1}{2} (\frac{1}{2}mr^2  \omega_i^2) =  \frac{1}{2}mv_f^2 + \frac{1}{2} (\frac{1}{2}mr^2  \omega_f^2) + mgh\\\\ but \ v = r \omega\\\\\frac{1}{2}mv_i^2 + \frac{1}{2} (\frac{1}{2}m v_i^2  ) =  \frac{1}{2}mv_f^2 + \frac{1}{2} (\frac{1}{2}m v_f^2) + mgh\\\\\frac{1}{2}mv_i^2 +\frac{1}{4}mv_i^2 = \frac{1}{2}mv_f^2 +\frac{1}{4}mv_f^2 +mgh\\\\\frac{3}{4}mv_i^2 = \frac{3}{4}mv_f^2 +mgh\\\\mgh = \frac{3}{4}mv_i^2 -  \frac{3}{4}mv_f^2\\\\gh = \frac{3}{4}v_i^2 -  \frac{3}{4}v_f^2\\\\

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