shapter 8
Question 5 of 25
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A hot-air balloon exerts a pull on a tether line at a angle with the horizontal. Resolve the vector B into its components.

The horizontal component is
toward the balloon.
(Round to the nearest tenth as needed.)
The vertical component is
up.
(Round to the nearest tenth as
feet
pounds
degrees

Ask by Zimmerman Dawson. in the United States

Mar 31,2025

Question

shapter 8
Question 5 of 25
This test: 25 point(s) possible
This question: 1 point(s) possible
Submit test

A hot-air balloon exerts a pull on a tether line at a angle with the horizontal. Resolve the vector B into its components.

The horizontal component is
toward the balloon.
(Round to the nearest tenth as needed.)
The vertical component is
up.
(Round to the nearest tenth as
feet
pounds
degrees

Ask by Zimmerman Dawson. in the United States

Mar 31,2025

UpStudy AI · Accepted Answer

To resolve the vector B into its components, we need to find the horizontal and vertical components of the vector.

Given:
- The magnitude of vector B, $$ |\mathrm{B}| = 1122 $$ lb
- The angle with the horizontal, $$ \theta = 45^{\circ} $$

The horizontal component of vector B can be found using the formula:
$$ \text{Horizontal component} = |\mathrm{B}| \cos(\theta) $$

The vertical component of vector B can be found using the formula:
$$ \text{Vertical component} = |\mathrm{B}| \sin(\theta) $$

Let's calculate the horizontal and vertical components of vector B.
Calculate or simplify the expression $$ 1122 * sin(45) $$.
The horizontal component of vector B is approximately 589.4 lb and the vertical component is approximately 954.7 lb.

Therefore, the horizontal component is 589.4 lb toward the balloon, and the vertical component is 954.7 lb up.
The horizontal component is 589.4 lb toward the balloon, and the vertical component is 954.7 lb up.

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