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?

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!