Calculating Projectile Distance on Pluto

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SUMMARY

The discussion focuses on calculating the horizontal distance a rock travels when thrown on Pluto, given its initial velocity of 12 m/s at a 25° angle from a height of 3.25 m. Participants clarify the gravitational acceleration on Pluto, which is derived from the formula Fg = (G * m1 * m2) / r². The mass of Pluto is 1.27 E22 kg and its radius is 1.14 E6 m, leading to a gravitational acceleration of approximately 0.65 m/s². This value is confirmed as correct through collaborative problem-solving.

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  • Basic knowledge of trigonometry for angle calculations
  • Ability to manipulate algebraic expressions
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Homework Statement



An astronaut throws a rock at 12 m/s at an angle of 25° above horizontal from a height of 3.25 m above the surface. How far horizontally does the rock travel before hitting the surface of Pluto?

Pluto has a mass of 1.27 E22 kg
And a radius of 1.14E6 m

Homework Equations



(Projectile equations )
d=vo(t) + .5a(t^2)
Dx=vx (t)

The Attempt at a Solution


I know how to solve projectiles , except how do I find gravitational acceleration for Pluto ? [/B]
 
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y90x said:
how do I find gravitational acceleration for Pluto ?
Do you know a formula involving the gravitational constant G?
 
haruspex said:
Do you know a formula involving the gravitational constant G?

Fg = (Gm)/r^2 ?
 
y90x said:
Fg = (Gm)/r^2 ?
Not quite. If you have a force on the left then you need two masses on the right. Or you can have an acceleration on the left and just the attracting mass on the right.
 
haruspex said:
Not quite. If you have a force on the left then you need two masses on the right. Or you can have an acceleration on the left and just the attracting mass on the right.

Fg=(G(m1)(m2))/r2
But then , where would the other mass come from ? Only one mass is given
 
y90x said:
Fg=(G(m1)(m2))/r2
But then , where would the other mass come from ? Only one mass is given
You only need to know the vertical acceleration of the rock. According to the formula above, the force is proportional to its mass, so the acceleration is independent of its mass.
 
haruspex said:
You only need to know the vertical acceleration of the rock. According to the formula above, the force is proportional to its mass, so the acceleration is independent of its mass.

I don’t understand
 
y90x said:
I don’t understand
Let the mass of the rock be m. What is the gravitational force on it?
 
haruspex said:
Let the mass of the rock be m. What is the gravitational force on it?

That’s what I’m trying to figure out
 
  • #10
y90x said:
That’s what I’m trying to figure out
Use the formula you quoted in post #3. The unknown mass of the rock, m, appears in the answer.
 
  • #11
haruspex said:
Use the formula you quoted in post #3. The unknown mass of the rock, m, appears in the answer.

I’m not trying to find mass, the mass is given .
I’m looking for gravitational acceleration,
I keep getting 0.65 but I’m not sure if that’s correct
 
  • #12
y90x said:
I’m not trying to find mass, the mass is given .
No, the mass you are given is the mass of the planet.
In post #5 you complained that you are not given the mass of the rock, so you cannot use the formula to find the force on it. I keep trying to explain to you that that is not a problem. You can find an expression for the force which includes the mass of the rock as an unknown.
y90x said:
I keep getting 0.65 but I’m not sure if that’s correct
0.65 what? m/s2?
Please post all your working.
 
  • #13
haruspex said:
No, the mass you are given is the mass of the planet.
In post #5 you complained that you are not given the mass of the rock, so you cannot use the formula to find the force on it. I keep trying to explain to you that that is not a problem. You can find an expression for the force which includes the mass of the rock as an unknown.

0.65 what? m/s2?
Please post all your working.

Image1513028246.007019.jpg
 

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