Question

A person is painting his house walls. He stands on a ladder with a bucket containing paint in one hand and a brush in other. Suddenly the bucket slips from his hand and falls down on the floor. If the bucket with the paint had a mass of $6 \cdot 0 \mathrm{~kg}$ and was at a height of $2 \cdot 0 \mathrm{~m}$ at the time it slipped, how much gravitational potential energy is lost together with the paint?

Name: Problem 20, Chapter 8: Concepts of Physics
Uploaded: 2021-06-27T20:26:47-08:00
Duration: 1 min 31 s
Channel: Aja S
Description: A person is painting his house walls. He stands on a ladder with a bucket containing paint in one hand and a brush in other. Suddenly the bucket slips from his hand and falls down on the floor. If the bucket with the paint had a mass of 6 ·0 kg and was at a height of 2 ·0 m at the time it slipped, how much gravitational potential energy is lost together with the paint?

   A person is painting his house walls. He stands on a ladder with a bucket containing paint in one hand and a brush in other. Suddenly the bucket slips from his hand and falls down on the floor. If the bucket with the paint had a mass of $6 \cdot 0 \mathrm{~kg}$ and was at a height of $2 \cdot 0 \mathrm{~m}$ at the time it slipped, how much gravitational potential energy is lost together with the paint?

Concepts of Physics

H. C. Verma 1st Edition

Chapter 8, Problem 20

Instant Answer

Solved by Expert Aja S

06/27/2021

Step 1

The formula for gravitational potential energy is $PE = mgh$, where $m$ is the mass, $g$ is the acceleration due to gravity, and $h$ is the height. So, $PE = 6.0 \, kg \times 9.8 \, m/s^2 \times 2.0 \, m = 117.6 \, J$. Show more…

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A person is painting his house walls. He stands on a ladder with a bucket containing paint in one hand and a brush in other. Suddenly the bucket slips from his hand and falls down on the floor. If the bucket with the paint had a mass of $6 \cdot 0 \mathrm{~kg}$ and was at a height of $2 \cdot 0 \mathrm{~m}$ at the time it slipped, how much gravitational potential energy is lost together with the paint?

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Key Concepts

Gravitational Potential Energy

This concept refers to the energy an object has because of its position within a gravitational field. It is calculated as the product of the object’s mass, the acceleration due to gravity, and the height above a chosen reference point (GPE = mgh). This energy can be converted into other forms, such as kinetic energy when the object falls.

Energy Transformation in Mechanical Systems

In mechanical systems, when an object loses height, the gravitational potential energy is converted into other forms of energy, typically kinetic energy. This transformation is a key principle in understanding energy conservation in the absence of non-conservative forces like friction.

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