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Ainat [17]
3 years ago
12

Two objects have a force of gravity of 100 N. If the distance between both objects decreases by a factor of 7, while the masses

both decrease by a factor of 8. What is the new Fg?
Physics
1 answer:
Shkiper50 [21]3 years ago
8 0

The gravitational force <em>F</em> between two masses <em>M</em> and <em>m</em> a distance <em>r</em> apart is

<em>F</em> = <em>G M m</em> / <em>r</em> ²

Decrease the distance by a factor of 7 by replacing <em>r</em> with <em>r</em> / 7, and decrease both masses by a factor of 8 by replacing <em>M</em> and <em>m</em> with <em>M</em> / 8 and <em>m</em> / 8, respectively. Then the new force <em>F*</em> is

<em>F*</em> = <em>G </em>(<em>M</em> / 8) (<em>m</em> / 8) / (<em>r</em> / 7)²

<em>F*</em> = (1/64 × <em>G M m</em>) / (1/49 × <em>r</em> ²)

<em>F*</em> = 49/64 × <em>G M m</em> / <em>r</em> ²

In other words, the new force is scaled down by a factor of 49/64 ≈ 0.7656, so the new force has magnitude approx. 76.56 N.

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Answer:

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W = mgh............... Equation 1

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m = m'd............... Equation 2

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W = m'dgh................ Equation 3

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What is the kinetic energy of a 145 g baseball moving at 42 m/s?
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Answer:

a) Fₓ = 23.5 N

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Explanation:

An image of the question as described is attached to this solution.

From the image attached, the forces acting on the box include the weight of the box, the normal reaction of the surface on the box, the applied force on the box and the Frictional force opposing the motion of the box (which is negligible and equal to 0)

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