Physics, 11.02.2020 00:16 MichaelG07

The gravitational force between two 0.800 kg balls is 8.92 x 10-11 N. How far apart are they?

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Answer from: bubs9789

The distance apart between the two balls is 0.69 m

From the question given above, the following data were obtained:

Mass of 1st ball (M₁) = 0.8 Kg

Mass of 2nd ball (M₂) = 0.8 Kg

Force (F) = 8.92×10¯¹¹ N

Gravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²

Distance apart (r) =?

The distance apart between the two balls can be obtained as follow:

$F = \frac{GM_1M_2}{ {r}^{2}} \\ \\ 8.92 \times {10}^{ - 11} = \frac{ 6.67 \times {10}^{ - 11} \times 0.8 \times 0.8 }{{r}^{2}} \\ \\ cross \: multiply \\ \\ 8.92 \times {10}^{ - 11} \times {r}^{2} = 6.67 \times {10}^{ - 11} \times 0.8 \times 0.8 \\ \\ divide \: both \: side \: by \: 8.92 \times {10}^{ - 11} \\ \\ {r}^{2} = \frac{6.67 \times {10}^{ - 11} \times 0.8 \times 0.8 }{8.92 \times {10}^{ - 11} } \\ \\ take \: the \: square \: root \: of \: both \: side \\ \\ r = \sqrt{ \frac{6.67 \times {10}^{ - 11} \times 0.8 \times 0.8 }{8.92 \times {10}^{ - 11}}} \\ \\ r = 0.69 \: m$

Thus, the distance apart is 0.69 m.

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Answer from: kpgmfb

r = 0.692m

Explanation:

According to law of gravitation, the force of attraction F existing between two masses m1 and m2 is directly proportional to the product of the masses and inversely proportional to the square of the distance (r) between them.

Mathematically, F= Gm1m2/r² where G is the gravitational constant.

Given F = 8.92 x 10^-11 N

m1 = m2 = 0.8kg

G = 6.67×10^-11 m³/kgs²

r = ?

Substituting this values in the given formula, we have;

8.92×10^-11 = 6.67×10^-11(0.8)(0.8)/r²

Cross multiplying;

8.92×10^-11r² = 4.27×10^-11

r² = 4.27×10^-11/8.92×10^-11

r² = 0.479×10^0

r² = 0.479

r = √0.479

r = 0.692m

This shows that the masses are 0.692m apart.

Answer from: Quest

Maybe c? sorry if im wrong
An object is located 5.0 cm from a convex lens. the lens focuses light at a distance of 10.0 cm. wha

Answer from: Quest

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol

b. a hockey puck sliding across the ice

c. a compressed spring

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice is the correct option.

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