4. Three astronauts, propelled by jet backpacks, push and guide an asteroid toward a processing dock. The forces they exert on the asteroid are shown in the figure. Their forces have magnitudes: F₁ = 32 N, F₂| 55 N, |F3| 41 N, and the angles are 0₁ 30° and 03 = 60°. = = (a) Find the net force on the asteroid written in vector form in terms of its x- and y-components. (b) Find the magnitude of the net force on the asteroid and the angle it makes with respect to the positive x-axis. (c) Suppose the asteroid has a mass of 250 kg and is initially at rest. What is the asteroid's displacement 0.1 s after the astronauts start pushing?
4. Three astronauts, propelled by jet backpacks, push and guide an asteroid toward a processing dock. The forces they exert on the asteroid are shown in the figure. Their forces have magnitudes: F₁ = 32 N, F₂| 55 N, |F3| 41 N, and the angles are 0₁ 30° and 03 = 60°. = = (a) Find the net force on the asteroid written in vector form in terms of its x- and y-components. (b) Find the magnitude of the net force on the asteroid and the angle it makes with respect to the positive x-axis. (c) Suppose the asteroid has a mass of 250 kg and is initially at rest. What is the asteroid's displacement 0.1 s after the astronauts start pushing?
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Vectors
Section: Chapter Questions
Problem 7P: A force F1 of magnitude 6.00 units acts on an object at the origin in a direction = 30.0 above the...
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![4. Three astronauts, propelled by jet backpacks, push and guide an asteroid toward a
processing dock. The forces they exert on the asteroid are shown in the figure. Their
forces have magnitudes: |F₁| = 32 N, |F₂| 55 N, |F3| = 41 N, and the angles are
0₁ = 30° and 03 = 60°.
=
F
X
(a) Find the net force on the asteroid written in vector form in terms of its x- and
y-components.
(b) Find the magnitude of the net force on the asteroid and the angle it makes with
respect to the positive x-axis.
(c) Suppose the asteroid has a mass of 250 kg and is initially at rest. What is the
asteroid's displacement 0.1 s after the astronauts start pushing?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4143f45a-5c96-4449-af2f-abda697f3e91%2F28265094-b7fc-4014-8fa9-45569fd1f705%2Fmkulgwt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Three astronauts, propelled by jet backpacks, push and guide an asteroid toward a
processing dock. The forces they exert on the asteroid are shown in the figure. Their
forces have magnitudes: |F₁| = 32 N, |F₂| 55 N, |F3| = 41 N, and the angles are
0₁ = 30° and 03 = 60°.
=
F
X
(a) Find the net force on the asteroid written in vector form in terms of its x- and
y-components.
(b) Find the magnitude of the net force on the asteroid and the angle it makes with
respect to the positive x-axis.
(c) Suppose the asteroid has a mass of 250 kg and is initially at rest. What is the
asteroid's displacement 0.1 s after the astronauts start pushing?
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