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Chapter 1: Problem 61

950 dyne \(=\ldots \ldots \ldots \ldots \ldots\) newton (a) \(9.5 \times 10^{-3}\) (b) \(95 \times 10^{-5}\) (c) \(950 \times 10^{-7}\) (d) \(9.5 \times 10^{-4}\)

Short Answer

Expert verified
To convert 950 dyne to newton, we can use the conversion factor \(1N = 10^5 dyne\). Then, calculate the force in newton with the formula: \(Force (N) = Force (dyne) / 10^5\). By substituting the given force (950 dyne) and simplifying the expression, we get \(Force (N) = 9.5 \times 10^{-4}\). Therefore, the correct answer is (d) \(9.5 \times 10^{-4}\) newton.

Step by step solution

01

Recall the conversion factor

Dyne and newton are both units of force. To convert dyne to newton, we need the conversion factor. Recall that 1 newton = 10^5 dyne.
02

Convert dyne to newton

We have the value in dyne as 950, and we need to convert it to the newton. Using the formula from step 1, we can write: \(Force (N) = Force (dyne) / 10^5\) Now, substitute the given force (950 dyne): \(Force (N) = 950 / 10^5\) Simplify the fraction: \(Force (N) = 9.5 \times 10^1 / 10^5\)
03

Simplify the expression

Now, we can simplify the expression by combining the powers of 10: \(Force (N) = 9.5 \times 10^{(1-5)}\) So we get: \(Force (N) = 9.5 \times 10^{-4}\)
04

Choose the correct option

Looking at the given options, we find that the option (d) \(9.5 \times 10^{-4}\) matches our answer. Hence, the correct answer is (d) \(9.5 \times 10^{-4}\) newton.

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