Question

The mass of a spacecraft is about 435 kg . An engine designed to increase the speed of the spacecraft while in outer space provides 0.09-N thrust at maximum power.By how much does the engine cause the craft's speed to change in 1 week of running at maximum power? Describe any assumptions you made.

Answer 1

Δ v = 125 m/s

Step-by-step explanation:

given,

mass of space craft = 435 Kg

thrust = 0.09 N

time = 1 week

= 7 x 24 x 60 x 60 s

change in speed of craft = ?

Assuming no external force is exerted on the space craft

now,

`T= m_s a`

`a=(T)/(m_s)`

`a =(0.09)/(435)`

a = 2.068 x 10⁻⁴ m/s²

using equation of motion

Δ v = a t

Δ v = 2.068 x 10⁻⁴ x 7 x 24 x 60 x 60

Δ v = 125 m/s