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Chapter 4: Problem 52

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 the frog's tongue such an acceleration is \(0.125 \, \text{N}\).

Step by step solution

01

Convert mass from milligrams to kilograms

The mass of the frog's tongue is given in milligrams. In order to use SI units in our calculations (as the acceleration is given in meters per second squared which are SI units), we need to convert this mass to kilograms. We know that 1 gram (g) equals 1000 milligrams (mg), and 1 gram is equal to 0.001 kilograms (kg). So, \(m = (500 \, \text{mg} * 1 \, \text{g} / 1000 \, \text{mg}) * 0.001 \, \text{kg} / \text{g} = 0.0005 \, \text{kg} \).
02

Calculate the force using Newton’s second law of motion

Now we use the acceleration \[a = 250 \, \text{m/s}^2\] and the mass we calculated \[m = 0.0005 \, \text{kg}\] in our Newton’s second law of motion formula \[F = ma \]. So, \(F = 0.0005 \, \text{kg} * 250 \, \text{m/s}^2 = 0.125 \, \text{N} \).

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