deep space 1 was a spacecraft powered by an engine that gave off xenon particles to change velocity. it had a mass of 500 kg. which expression can be used to find the spacecraft’s acceleration if its engine created a net force of 0.10 n?



Answer :

The expression can be used to  the spacecraft’s acceleration if its engine created a net force of 0.10 n

[tex]$\begin{aligned}& a=F / m \\& a=0.10 \mathrm{~N} / 500 \mathrm{Kg}\end{aligned}$[/tex]

Definition:

Acceleration: The rate at which the speed and direction of a moving object vary over time. A point or object going straight forward is accelerated when it accelerates or decelerates. Even though the speed is constant, motion on a circle accelerates because the direction is always shifting.

Formula:

[tex]$\begin{aligned}& \mathrm{a}=\Delta \mathrm{v} / \Delta \mathrm{t} \\& \mathrm{a}=\text { acceleration } \\& \Delta \mathrm{v}=\text { change in velocity } \\& \Delta \mathrm{t}=\text { change in time }\end{aligned}$[/tex]

Units:

The unit of acceleration ism [tex]$\cdot \mathrm{s}^{-2}$[/tex].

Acceleration can also be determine through following formula,

[tex]$\begin{aligned}& F=m \times a \\& a=F / m\end{aligned}$[/tex]

Given data:

Mass [tex]$=500 \mathrm{Kg}$[/tex]

Force [tex]$=0.10 \mathrm{~N}$[/tex]

Acceleration = ?

[tex]$a=F / m$a=0.10 \mathrm{Kg} \cdot \mathrm{m} \cdot \mathrm{s}^{-2} / 500 \mathrm{Kg}$a=0.0002 \mathrm{~m} \cdot \mathrm{s}^{-2}$[/tex]

In mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities

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