Question

The force of attraction, F Newtons, between two magnets is inversely proportional to the square of the
distance, dcm, between the magnets.
When d = 1 5. , F = 48

When the distance between the two magnets is doubled the new force is n times the original force.
Work out the value of n

Answer 1

The correct question may be like:

What is the relationship between the force of attraction, measured in Newtons, and the distance between two magnets, measured in centimeters, if the force is inversely proportional to the square of the distance? If the force between two magnets is 48 Newtons when the distance between them is 15 centimeters, what is the new force if the distance is doubled? Express the new force in terms of the original force, using simple language for a 10th grade student to understand.

• "The force of attraction between two magnets is inversely proportional to the square of the distance between them. This means that as the distance between the magnets increases, the force of attraction decreases.
• If the force between two magnets is 48 Newtons when the distance between them is 15 centimeters, the new force when the distance is doubled (30 centimeters) can be found using the inverse square law:
• New force = (original force) / (distance ratio)^2
• Distance ratio = (new distance) / (original distance) = 30 cm / 15 cm = 2
• New force = $48 N / 2^2 = 48 N / 4 = 12 N$
• Therefore, the new force between the magnets is 12 Newtons.
• The question asks us to find the relationship between the force of attraction and the distance between two magnets. We are given that the force is inversely proportional to the square of the distance. This means that if we double the distance between the magnets, the force of attraction will decrease by a factor of 4 (2 squared).
• To find the new force, we use the inverse square law formula: New force = (original force) / (distance ratio)^2. We are given the original force (48 N) and the distance ratio (2), so we can plug these values into the formula and simplify to find the new force (12 N).
• In simple terms, this means that if we double the distance between two magnets, the force of attraction between them will decrease by a factor of 4. In this case, the original force of 48 Newtons becomes 12 Newtons when the distance is doubled from 15 centimeters to 30 centimeters."

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