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Chapter 4: Problem 56

Frogs' tongues dart out to catch insects, with maximum tongue accelerations of about \(250 \mathrm{m} / \mathrm{s}^{2} .\) What force is needed to give a \(500-\mathrm{mg}\) tongue such an acceleration?

Short Answer

Expert verified
The force needed to give a 500mg tongue an acceleration of 250 \(m/s^{2}\) is 0.125N.

Step by step solution

01

Convert the mass to kilograms

First, convert the mass from milligrams to kilograms, since in physics, the standard unit of mass in the International System of Units is kilograms. There are \(1,000,000\) milligrams in one kilogram, so a \(500-\mathrm{mg}\) tongue is \(500/1,000,000=0.0005 \mathrm{kg}\).
02

Apply Newton's second law of motion

Next, apply Newton's second law of motion, which states that the force exerted on an object is equal to the mass of the object times its acceleration (\( F = ma \)). So the force required to give the tongue such an acceleration can be calculated by multiplying the mass of the tongue, in kilograms, by the acceleration.
03

Compute the answer

By substituting the given values into the formula \( F = ma \), we get \( F = 0.0005kg * 250m/s^{2} = 0.125N \).

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