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Chapter 1: Problem 41

A truck weighs \(3300 \mathrm{lb}\). What is the magnitude of the net force (lb) required to accelerate it at a constant rate of \(5 \mathrm{ft} / \mathrm{s}^{2}\) ? The acceleration of gravity is \(g=32.2 \mathrm{ft} / \mathrm{s}^{2}\).

Short Answer

Expert verified
Net Force = Mass * Acceleration. First, find the mass of the truck by dividing its weight by the acceleration due to gravity, then multiply the obtained mass by the given acceleration to find the net force.

Step by step solution

01

Conversion of weight to mass

The mass of the truck is determined from its weight using the relation \( \text{mass} = \frac{\text{weight}}{\text{acceleration due to gravity}} \). So, you substitute for weight (\(3300 \, \mathrm{lb}\)) and acceleration due to gravity ( \(32.2 \, \mathrm{ft/s^2}\)) to find the mass.
02

Calculation of Net Force

On finding the mass, the net force required to accelerate the truck can be determined using Newton's second law that is \( \text{Force} = \text{mass} \times \text{acceleration} \). Here, the acceleration is \(5 \, \mathrm{ft/s^2}\). Substituting the calculated mass and the given acceleration into this equation, the net force is computed.

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