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Chapter 7: Problem 2

What is the momentum of an automobile (weight = \(9800 \mathrm{N})\) when it is moving at \(35 \mathrm{m} / \mathrm{s}\) to the south?

Short Answer

Expert verified
Answer: The momentum of the automobile is 35000 kg鈰卪/s to the south.

Step by step solution

01

Convert weight to mass

Given the weight of the automobile is \(9800\,\mathrm{N}\), we can find its mass using the formula: \(weight = mass 脳 gravity\). Here, gravity is approximately \(9.8\,\mathrm{m/s^2}\) (assuming Earth's surface). Therefore, the mass (m) of the automobile can be calculated by: \(m=\frac{weight}{gravity}=\frac{9800\,\mathrm{N}}{9.8\,\mathrm{m/s^2}}=1000\,\mathrm{kg}\)
02

Calculate momentum

Now that we have the mass of the automobile, we can calculate its momentum using the given velocity. The formula for momentum (p) is: \(p=mass 脳 velocity\). The momentum of the automobile is: \(p=1000\,\mathrm{kg}\times35\,\mathrm{m/s}=35000\,\mathrm{kg\cdot m/s}\)
03

Express the result with the proper direction

The direction of the momentum is the same as that of the velocity, that is, south. Therefore, the momentum of the automobile when it is moving at \(35\,\mathrm{m/s}\) to the south is \(35000\,\mathrm{kg\cdot m/s}\) to the south.

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