Calculate Gravitational Field Strength

In summary, the problem involves an astronaut dropping a hammer of 0.85kg from a height of 1.25m and taking 3 seconds to reach the ground. The task is to find the gravitational field strength using the given radius of 4.76*10^5 m. The attempted solution uses the formula g=a=Δv/t and v=d/t, but the 1.25/3 value used is for average velocity and not the specific velocity needed for the formulas.
  • #1
fdajkffk
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Homework Statement


Given Radius is 4.76*10^5 m
Astronaut drops a hammer of 0.85kg from a height of 1.25m. It takes 3s to reach the ground
What is the gravitational field strength?

Homework Equations





The Attempt at a Solution


g=a=Δv/t
v=d/t
v=1.25/3

a=1.25/3/3

But that's not the answer
 
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  • #2
fdajkffk said:

Homework Statement


Given Radius is 4.76*10^5 m
Astronaut drops a hammer of 0.85kg from a height of 1.25m. It takes 3s to reach the ground
What is the gravitational field strength?

Homework Equations





The Attempt at a Solution


g=a=Δv/t
v=d/t
v=1.25/3

a=1.25/3/3

But that's not the answer

That 1.25/3 is the average velocity.

Our formulas make use of a specific velocity, usually initial or final depending on which formula you wish to use.
 

Related to Calculate Gravitational Field Strength

1. How is gravitational field strength calculated?

Gravitational field strength is calculated by dividing the force of gravity acting on an object by the mass of the object. This can be represented by the equation g = F/m, where g is the gravitational field strength, F is the force of gravity, and m is the mass of the object.

2. What units are used to measure gravitational field strength?

The SI unit for gravitational field strength is Newtons per kilogram (N/kg). However, it can also be measured in other units such as meters per second squared (m/s²) or multiples of the Earth's gravitational field strength (g).

3. How does the distance between two objects affect gravitational field strength?

The gravitational field strength between two objects is inversely proportional to the square of the distance between them. This means that as the distance between two objects increases, the gravitational field strength decreases.

4. Can gravitational field strength vary on different planets?

Yes, gravitational field strength can vary on different planets depending on their mass and radius. The larger the mass and smaller the radius of a planet, the stronger its gravitational field strength will be.

5. How is gravitational field strength related to gravitational potential energy?

Gravitational field strength is directly related to gravitational potential energy. An increase in gravitational field strength will result in an increase in gravitational potential energy, while a decrease in gravitational field strength will result in a decrease in gravitational potential energy.

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