Question

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 0.200 mg chip of paint that strikes a spacecraft window at a relative speed of 3.00 ✕ 10^3 m/s and sticks, given the collision lasts 6.00 ✕ 10^−8 s. (Enter the magnitude.)

Answer 1

Given:

• Mass, m = 0.200 mg

,

• Speed, v = 3.00 x 10³ m/s

,

• Time, t = 6.00 x 10^⁻⁸ s.

Let's calculate the force exerted.

Using the inpulse-momentum theroerm, we have:

impulse = change in momemntum

Where:

Impulse = force x time

change in momentum = mass x velocity.

Thus, we have:

$F\times6.00\times10^{-8}=(0.200\times10^{-6})\times(3.00\times10^3)$

Let's solve for the force F:

$\begin{gathered} F=\frac{(0.200\times10^{-6})(3.00\times10^3)}{6.00\times10^{-8}} \\ \\ F=10000N \end{gathered}$

Therefore, the force exterted is 10000 N.

ANSWER:'

10000 N