Two blocks are connected by a massless rope. The mass of the block on the table is m1=5.5 kg and the hanging mass is m2 = 1.2 kg. The table and pully are frictionless. Write an equation for the speed at which the hanging mass hits the floor if it starts falling from rest in terms of the acceleration a, and the distance it has to fall to reach the floor d. Use this equation to find the speed if it starts falling from rest and is initially located 1.1 meters above the floor, give the answer in meters per second.
Two blocks are connected by a massless rope. The mass of the block on the table is m1=5.5 kg and the hanging mass is m2 = 1.2 kg. The table and pully are frictionless. Write an equation for the speed at which the hanging mass hits the floor if it starts falling from rest in terms of the acceleration a, and the distance it has to fall to reach the floor d. Use this equation to find the speed if it starts falling from rest and is initially located 1.1 meters above the floor, give the answer in meters per second.
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter10: Work, Energy And Machines
Section10.2: Machines
Problem 31SSC
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Transcribed Image Text:The image presents a physics problem involving two blocks connected by a massless rope.
**Problem Description:**
- Two blocks are connected through a massless rope.
- The block on the table has a mass of \(m_1 = 5.5 \, \text{kg}\).
- The hanging block has a mass of \(m_2 = 1.2 \, \text{kg}\).
- The table and pulley are frictionless.
An illustration shows block \(m_1\) on a horizontal surface, connected over a pulley to a hanging block \(m_2\).
**Tasks:**
1. Write an equation for the speed at which the hanging mass hits the floor if it starts falling from rest. Express this in terms of the acceleration \(a\) and the distance \(d\) it falls to reach the floor.
2. Use this equation to calculate the speed if the block starts from rest and falls a distance of \(1.1 \, \text{meters}\) above the floor. Provide the answer in meters per second.
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