A worker moves a 30 kg box by pulling on it with a rope that makes a 60^∘ angle with the horizon

Name: Problem 15, Chapter 14: Cracking The AP Physics 1 Exam
Uploaded: 2021-04-08T13:59:01-08:00
Duration: 1 min 17 s
Channel: Sachin Rao
Description: A worker moves a 30 kg box by pulling on it with a rope that makes a 60^∘ angle with the horizontal. If the worker applies a force of 40 N and pulls the box over a distance of 20 m, how much work did the worker do? (A) 100 J (B) 200 J (C) 400 J (D) 800 J

step 1 A worker moves a 30 kg box by pulling on it with a rope that makes 60 angle, 60 degree angle wit

Question

A worker moves a 30 $\mathrm{kg}$ box by pulling on it with a rope that makes a $60^{\circ}$ angle with the horizontal. If the worker applies a force of 40 $\mathrm{N}$ and pulls the box over a distance of $20 \mathrm{m},$ how much work did the worker do? (A) 100 $\mathrm{J}$ (B) 200 $\mathrm{J}$ (C) 400 $\mathrm{J}$ (D) 800 $\mathrm{J}$

   A worker moves a 30 $\mathrm{kg}$ box by pulling on it with a rope that makes a $60^{\circ}$ angle with the horizontal. If the worker applies a force of 40 $\mathrm{N}$ and pulls the box over a distance of $20 \mathrm{m},$ how much work did the worker do?
(A) 100 $\mathrm{J}$
(B) 200 $\mathrm{J}$
(C) 400 $\mathrm{J}$
(D) 800 $\mathrm{J}$

Cracking The AP Physics 1 Exam

Robert Franek 1st Edition

Chapter 14, Problem 15

Instant Answer

Solved by Expert Sachin Rao

04/08/2021

Step 1

A worker is pulling a box with a force of 40 N at an angle of 60 degrees to the horizontal. The box is moved over a distance of 20 m. We need to find the work done by the worker. Show more…

Show all steps

Thanks for your feedback!

A worker moves a 30 $\mathrm{kg}$ box by pulling on it with a rope that makes a $60^{\circ}$ angle with the horizontal. If the worker applies a force of 40 $\mathrm{N}$ and pulls the box over a distance of $20 \mathrm{m},$ how much work did the worker do? (A) 100 $\mathrm{J}$ (B) 200 $\mathrm{J}$ (C) 400 $\mathrm{J}$ (D) 800 $\mathrm{J}$

Play audio

Feedback

Sachin Rao and 57 other educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Trigonometric Functions

Trigonometric functions, especially the cosine function, are used to find the component of a vector in a particular direction when the vector is applied at an angle. The cosine of the angle between the force and the horizontal direction multiplies the magnitude of the force to find the horizontal (effective) component.

Vector Decomposition

Vector decomposition involves breaking a force vector into perpendicular components, typically horizontal and vertical. This is crucial when a force is applied at an angle, as it helps in identifying the effective force in the direction of displacement, which is used to calculate work.

Work

Work is defined as the scalar product (dot product) of the force vector and the displacement vector, meaning that only the component of force in the direction of the displacement contributes to the work done. It represents energy transfer by the force acting over a distance.

Please give Ace some feedback