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An object is released from rest near the surface of a planet. The vertical position of the object as a function of time is shown in the graph. All frictional forces are considered to be negligible. The strength of the gravitational field is most nearly

A) 3 N/kg
B) 6 N/kg
C) 10 N/kg
D) The strength of the gravitational field cannot be determined without applying Newton's law of universal gravitation.

An object is released from rest near the surface of a planet. The vertical position of the object as a function of time is shown in the graph. All frictional fo class=

Answer :

sqdancefan

Answer:

  B)  6 N/kg

Explanation:

You want to know the strength of a gravitational field that causes an object to fall 300 m in 10 s with other forces negligible.

Height

The acceleration due to gravity can be found from the height equation:

  h(t) = -1/2g·t² +h0 . . . . . . . where h0 is the initial height

  0 = -1/2g(10 s)² +300 m

  100g s² = 600 m . . . . . . . multiply by 2, add 100g s²

  g = (600 m)/(100 s²) = 6 m/s² = 6 N/kg

The strength of the gravitational field is 6 N/kg, choice B.

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