Calculating Projectile Distance on Pluto

[y90x]

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]

 

[haruspex]

how do I find gravitational acceleration for Pluto ?

Do you know a formula involving the gravitational constant G?

 

[y90x]

Do you know a formula involving the gravitational constant G?

Fg = (Gm)/r^2 ?

 

[haruspex]

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.

 

[y90x]

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

 

[haruspex]

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.

 

[y90x]

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

 

[haruspex]

I don’t understand

Let the mass of the rock be m. What is the gravitational force on it?

 

[y90x]

Let the mass of the rock be m. What is the gravitational force on it?

That’s what I’m trying to figure out

 

[haruspex]

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.

 

[y90x]

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

 

[haruspex]

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.

I keep getting 0.65 but I’m not sure if that’s correct

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

 

[y90x]

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.

 

[haruspex]

View attachment 216528

Looks right.