launch on Earth. The A space probe is built with a mass of 1700 pound-mass [Ib ]

Question

launch on Earth. The A space probe is built with a mass of 1700 pound-mass [Ib ] before probe is powered by four ion thrusters, each capable of generating 225 millinewtons [mN] of thrust. Using Newton's second law, the acceleration (a) of the craft is equal to the force (F) divided by the mass (m) /m The velocity (v) of an object increases as an object accelerates If the object starts at rest I velocity is given by the acceleration multiplied by the length of time the acceleration the final is applied to the object (0) Ft 7t Using this equation, how many weeks will the thrusters have to operate for the probe, initially at rest, to reach a velocity of 420 miles per minute [mi/min]? You may assume the initial velocity of the probe is zero miles per minute [0 mi/min). A person who has a weight of 165 pound-force [Ib,] on Earth is travelling to Mars in a space- craft. As long as the engines on the spacecraft are not operating, the person is essentially weightless during the voyage. During a course correction, the spacecraft undergoes an acceleration of 0.72 g. The term "g" is the Earth-normal gravity, so 1 g is 9.8 meters per second squared [m/s']. This acceleration makes it feel like there is gravity in the spacecraft, and the person will have a perceived weight during the acceleration period, rather than feeling weightless, What is the person's mass, in units of kilograms [kg], in the spacecraft while travelling to Mars when the engines are not running? 3. 4, A person who has a weight of 165 pound-force [Ib,] on Earth is travelling to Mars in a space craft. As long as the engines on the spacecraft are not operating, the person is essentially weightless during the voyage. During a course correction, the spacecraft undergoes an acceleration of 0.72 g. The term "g” is the Earth-normal gravity, so I g is 9.8 meters per second squared [m/s']. This acceleration makes it feel like there is gravity in the spacecraft, and the person will have a perceived weight during the acceleration period, rather than feeling weightless What is the person's perceived weight in units of newtons [N] during the course correction while the engines are running at an acceleration of 0.72 g?

Explanation / Answer

Question:2

Answer:

Convert the mass of space probe from pound-mass to kg

1lbm=0.4535kg

M=1700lbm

    =1700lbm*0.4535kg/lbm

   =770.95kg

Total four ion thrusters each capable of 225milli newton of thrust acts,as total force on the probe is four times of thrust.

F=4*225mN

F=4*225*10^-3N

F=900*10^-3N

Calculate the acceleration of the craft.

a=F/m

=900*10^-3N/770.95kg

Therefore,

a=1.167*10^-3m/s^2

convert the final velocity of the probe from miles per minute to meters per second.

1mile =1609.34meters

1minute=60sec

1mile/min=1609.34meter/60sec

                  =26.8223m/s

Then,

V=420mile/min

   =420mile/min *26.8223m/s by mile/min

Therefore

V=11265.366m/s

Calculate the time required to attain the velocity with acceleration

V=u+at

  =0+at

From that

t=V/a

t=(11265.366m/s)/(1.167*10^-3m/s^2)

  =9653.269*10^3sec

Convert sec to weeks

1week=7days

              =7*24 hours

              =7*24*60*60 sec

1week=604800sec

1sec=1/604800 week

Now,

Calculate the time in weeks

t=9653.269*10^3sec

=9653.269*10^3sec*1/604800 weeks

   =15.961 weeks

Therefore

T=15.961weeks

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