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yawa3891 [41]
3 years ago
14

the gravity force between Mars and an object near Earth's surface as much lower than the force between an object on Earth surfac

e of Earth if the speaking of a hammer when dropped increase from 0.0 m / s to 15.0 m / s and 4.04 seconds what is the acceleration due to the gravity force of the surface of Mars​
Physics
1 answer:
erma4kov [3.2K]3 years ago
3 0

<u>The acceleration:</u> is defined as the change of the velocity in 1 second.

In symbols

a = \frac{V_{f}-V_{i}  }{t}

where:

  • V_{f} : the final velocity
  • V_{i} : the initial velocity
  • t : the time if the change

In our problem:

a = \frac{15-0 }{4.04}=3.713 m/s^2

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For the ball to go straight into the goal, the kicker needs to be no more than 6.54 meters away from the goal.

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Horizontal velocity of the ball will always be 26.2\times\cos{34.2\textdegree} until it lands if there's no air resistance.

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\displaystyle t=\frac{x}{26.2\times\cos{34.2\textdegree}}

when the ball reaches the goal.

\displaystyle h= - 9.81 \times \frac{x^2}{(26.2\times\cos{34.2\textdegree})^2} + (26.2 \times \sin{34.2\textdegree})\times\frac{x}{26.2\times\cos{34.2\textdegree}} \\\phantom{h} = -\frac{9.81}{(26.2\times\cos{34.2\textdegree})^2}\cdot x^{2} + \frac{\sin{34.2\textdegree}}{\cos{34.2\textdegree}}\cdot x.

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  • x = 65.1 meters when h = 0 meters.
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