# A box has a mass of 20 kg, and a building has a height of 15 meters. A. Find the force of gravity acting on the box. B. Find the work required to lift the box from the ground to the roof of the building. C. Find the potential energy of the box when it is on the roof of the building. D. If the box is dropped off the roof of the building, find the kinetic energy and velocity of the box when it hits the ground.

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### Fundamentals of Chemical Engineeri...

1st Edition
Kevin D. Dahm + 1 other
Publisher: Cengage Learning
ISBN: 9781111580704
BuyFind

### Fundamentals of Chemical Engineeri...

1st Edition
Kevin D. Dahm + 1 other
Publisher: Cengage Learning
ISBN: 9781111580704

#### Solutions

Chapter
Section
Chapter 1.7, Problem 20P
Textbook Problem

## A box has a mass of 20 kg, and a building has a height of 15 meters.A. Find the force of gravity acting on the box.B. Find the work required to lift the box from the ground to the roof of the building.C. Find the potential energy of the box when it is on the roof of the building.D. If the box is dropped off the roof of the building, find the kinetic energy and velocity of the box when it hits the ground.

Expert Solution

A)

Interpretation Introduction

Interpretation:

The force of gravity acting on the box has to be determined.

Concept introduction:

The force of gravity acting on the box:

F=M×a

Here, mass is M and acceleration is a.

### Explanation of Solution

Calculate the force of gravity acting on the box.

F=M×a

Substitute 20 kg for M and 9.81m/s2 for a.

F=20kg×9

Expert Solution

B)

Interpretation Introduction

Interpretation:

The work required to lift the box from the ground to roof of the building.

Concept introduction:

The work required to lift the box.

W=F×d

Here, force is F and distance is d.

Expert Solution

C)

Interpretation Introduction

Interpretation:

The potential energy of the box when it is on the roof of the building.

Concept introduction:

The potential energy of the box

P.E=M×h×g

Here, gravity is g and height of building is h.

Expert Solution

D)

Interpretation Introduction

Interpretation:

The velocity and kinetic energy of box when it hits the road.

Concept introduction:

The kinetic energy of the box when its hits the road.

K.E=12Mv2

Here, velocity is v.

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