One hazard of space travel is debris left by previous missions. There are several thousand objects orbiting Earth that are large enough to be detected by radar, but there are far greater numbers of very small objects, such as flakes of paint. Calculate the force exerted in newtons by a 0.160 mg chip of paint that strikes a spacecraft window at a relative speed of 5.00 ✕ 103 m/s and sticks, given the collision lasts 6.00 ✕ 10−8 s. (Enter the magnitude.)

F = 13333.333 N = 13.33 KN

Explanation:

From Newton's second law of motion, the change in momentum = the impulse.

Mathematically,

Impulse = Change in momentum.

Impulse = (Force) × (time during which it acts) = F.t

Magnitude of the Change in momentum = mv (there is no final momentum as the paint sticks to the spacecraft window)

F×t = m×v

t = (6.00 ✕ 10⁻⁸) s

m = 0.160 mg = (1.6 × 10⁻⁷) kg

v = (5.00 × 10³) m/s

F × (6.00 ✕ 10⁻⁸) = 1.6 × 10⁻⁷ × 5.00 × 10³

F = 13333.333 N = 13.33 KN

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