Hi! I'm a bit lost on this homework question. The question states "In one hand you hold a 0.2kg apple, in the other hand you hold a 0.95kg Pie. They are separated by 0.75m, what is the force of gravity of the apple on the pie and what is the force of gravity of the pie on the apple."
Not sure how to go about solving this one.
universal gravitation equation
f = G M1 M2 / r^2
there is only a single force of attraction between the masses
... at the apple, the force is toward the pie ; and vice versa
Hi,
I'm not fully sure either? I thought we could work on this together?
I think we have to use the Gravitation Force Equation F = GMm/r^2 *like Scott said above*^
F = (6.67e-11)(?)(?)/0.75^2 <--- That is all I have so far? What M's did you use in which place?
Tell me if I am correct?
F = (6.67e-11)(0.95)(0.2)/0.75^2
= 2.2529778e-11
round
Final answer
F = 2.25e-11 N
To solve this question, you need to use Newton's law of universal gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
Let's break down the problem step by step:
1. Identify the given values:
- Mass of the apple (m1) = 0.2 kg
- Mass of the pie (m2) = 0.95 kg
- Separation distance (r) = 0.75 m
2. Determine the force of gravity of the apple on the pie (F_apple_on_pie):
- Apply Newton's law of universal gravitation: F_apple_on_pie = (G * m1 * m2) / r^2
Here, G represents the gravitational constant, which is approximately 6.674 × 10^-11 Nm^2/kg^2.
- Plug in the values: F_apple_on_pie = (6.674 × 10^-11 Nm^2/kg^2) * (0.2 kg) * (0.95 kg) / (0.75 m)^2
- Solve the equation to find the force of gravity of the apple on the pie.
3. Determine the force of gravity of the pie on the apple (F_pie_on_apple):
- Since the force of gravity acts between two objects of mass, it is mutual. So, the force of gravity of the pie on the apple will be the same as the force of gravity of the apple on the pie.
By following these steps, you should be able to calculate the force of gravity of the apple on the pie and the force of gravity of the pie on the apple.