A loaded grocery cart is rolling across a parking lot in a strong wind. You apply a constant force F - (31 N)i – (35 N); to the cart as it undergoes a displacement 3= (-9.3 m)i – (2.5 m)j. Part A How much work does the force you apply do on the grocery cart? Express your answer in joules.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Statement:**

A loaded grocery cart is rolling across a parking lot in a strong wind. You apply a constant force:

\[
\vec{F} = (31 \, \text{N})\hat{\imath} - (35 \, \text{N})\hat{\jmath}
\]

to the cart as it undergoes a displacement:

\[
\vec{s} = (-9.3 \, \text{m})\hat{\imath} - (2.5 \, \text{m})\hat{\jmath}
\]

**Question:**

Part A: How much work does the force you apply do on the grocery cart?

Express your answer in joules.

**Answer Box:**

The work \( W \) is calculated in joules: 

\[ W = \_\_\_ \, \text{J} \]

(The answer should be calculated by taking the dot product of the force vector and the displacement vector.)
Transcribed Image Text:**Problem Statement:** A loaded grocery cart is rolling across a parking lot in a strong wind. You apply a constant force: \[ \vec{F} = (31 \, \text{N})\hat{\imath} - (35 \, \text{N})\hat{\jmath} \] to the cart as it undergoes a displacement: \[ \vec{s} = (-9.3 \, \text{m})\hat{\imath} - (2.5 \, \text{m})\hat{\jmath} \] **Question:** Part A: How much work does the force you apply do on the grocery cart? Express your answer in joules. **Answer Box:** The work \( W \) is calculated in joules: \[ W = \_\_\_ \, \text{J} \] (The answer should be calculated by taking the dot product of the force vector and the displacement vector.)
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