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)...
Related questions
Question
![**Problem Statement:**
A crane lifts a load of bricks of mass 1,770 kg at an initial acceleration of 1.50 m/s². Calculate the tension in the cable.
**Input Field:**
- A space for entering the tension in Newtons (N).
**Additional Feature:**
- A button labeled "Need Help? Read It" for accessing further assistance.
**Instructions for Calculation:**
To calculate the tension in the cable, consider the forces acting on the load. The tension in the cable, \( T \), must overcome both the gravitational force and provide the additional force for the upward acceleration.
1. **Calculate the gravitational force (weight) acting on the load:**
\[
F_{\text{gravity}} = m \cdot g
\]
where:
- \( m = 1,770 \, \text{kg} \) (mass of the load)
- \( g = 9.81 \, \text{m/s}^2 \) (acceleration due to gravity)
2. **Calculate the force required to accelerate the load:**
\[
F_{\text{acceleration}} = m \cdot a
\]
where:
- \( a = 1.50 \, \text{m/s}^2 \) (initial acceleration)
3. **Calculate the tension in the cable:**
\[
T = F_{\text{gravity}} + F_{\text{acceleration}}
\]
Solve using the values provided for \( m \), \( g \), and \( a \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff884be19-5125-4223-8b6e-d128b1a5659e%2F775e543a-0756-4ac6-abd4-57c02841e0d5%2Fu54ikuq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A crane lifts a load of bricks of mass 1,770 kg at an initial acceleration of 1.50 m/s². Calculate the tension in the cable.
**Input Field:**
- A space for entering the tension in Newtons (N).
**Additional Feature:**
- A button labeled "Need Help? Read It" for accessing further assistance.
**Instructions for Calculation:**
To calculate the tension in the cable, consider the forces acting on the load. The tension in the cable, \( T \), must overcome both the gravitational force and provide the additional force for the upward acceleration.
1. **Calculate the gravitational force (weight) acting on the load:**
\[
F_{\text{gravity}} = m \cdot g
\]
where:
- \( m = 1,770 \, \text{kg} \) (mass of the load)
- \( g = 9.81 \, \text{m/s}^2 \) (acceleration due to gravity)
2. **Calculate the force required to accelerate the load:**
\[
F_{\text{acceleration}} = m \cdot a
\]
where:
- \( a = 1.50 \, \text{m/s}^2 \) (initial acceleration)
3. **Calculate the tension in the cable:**
\[
T = F_{\text{gravity}} + F_{\text{acceleration}}
\]
Solve using the values provided for \( m \), \( g \), and \( a \).
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