Forces: acceleration with a sun yacht

AI Thread Summary
A sun yacht, a spacecraft propelled by sunlight, experiences a force of 18 N, resulting in an acceleration of 0.025 m/s². To calculate the distance traveled in one day, the kinematic equation indicates it covers approximately 9,331,200 meters. After one day, the velocity reaches about 2,160 m/s. The discussion highlights the importance of using kinematic equations to relate acceleration, time, and distance. Overall, the calculations demonstrate the potential of solar sailing for long-distance space travel.
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[SOLVED]Forces: acceleration with a sun yacht

Homework Statement


Sunjamming. A “sun yacht” is a spacecraft with a large sail that is pushed by sunlight. Although such a push is tiny in everyday circumstances, it can be large enough to send the spacecraft outward from the Sun on a cost-free but slow trip. Suppose that the spacecraft has a mass of 700 kg and receives a push of 18 N. (a) What is the magnitude of the resulting acceleration? If the craft starts from rest, (b) how far will it travel in 1 day and (c) how fast will it then be moving?


Homework Equations


F=Ma
V=ma


The Attempt at a Solution


I think part a is correct, part b i am lost on, and part c just doesn't seem to make sense, it seems too fast
a) a= 18/700= .025 m/s^2


c) 700x.025=17.5 m/s?
 
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Where did you get V=ma? Part a) is ok, But to find a velocity after one day you want to find a relation between acceleration time and velocity. For b) you want a relation between acceleration time and distance. They are just kinematic equations. Like v(t)=v(0)+a*t.
 
its still not making sense to me, probably because i don't have the kinematics equations
 
actually nvm i got it, thanks for the help
 
t= 86400 seconds
V(o)tx(1/2)at
9331200 m

V=0+(at)

2160m/s
 
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