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Elena-2011 [213]
3 years ago
15

the gravitational force between two objects is 1600 and what will be the gravitational force between the objects if the distance

between them doubles?
Physics
1 answer:
antoniya [11.8K]3 years ago
7 0
The equation for gravitational force is:

F = GMm/r^2

Where G is a constant, M is the mass of the larger object, m is the mass of the other object, and r is the distance between the two objects.

So:

1600 = GMm/r^2

Now we can find the force when the distance doubles:

F = GMm/(2r)^2

GMm will remain the same since G is a constant and the masses didn't change, so the only difference between this and the first calculation is the denominator.

By simplifying the denominator, we find:

F = GMm/(4r^2)

Now we can see that the only difference between this and the equation given the original distance is that we are dividing by 4. This means that the force will be one fourth of the original force:

1600/4 = 400

The answer is 400.
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A. 0.77 A

Using the relationship:

P=\frac{V^2}{R}

where P is the power, V is the voltage, and R the resistance, we can find the resistance of each bulb.

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B. 142.3 W

The power dissipated in the first bulb is given by:

P_1=I^2 R_1

where

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Substituting numbers, we get

P_1 = (0.77 A)^2 (240 \Omega)=142.3 W

C. 42.7 W

The power dissipated in the second bulb is given by:

P_2=I^2 R_2

where

I = 0.77 A is the current

R_2 = 72 \Omega is the resistance of the bulb

Substituting numbers, we get

P_2 = (0.77 A)^2 (72 \Omega)=42.7 W

D. The 60-W bulb burns out very quickly

The power dissipated by the resistance of each light bulb is equal to:

P=\frac{E}{t}

where

E is the amount of energy dissipated

t is the time interval

From part B and C we see that the 60 W bulb dissipates more power (142.3 W) than the 200-W bulb (42.7 W). This means that the first bulb dissipates energy faster than the second bulb, so it also burns out faster.

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Answer:

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