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.

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
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**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 \( a \).
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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