Finding gravitational acceleration

In summary, to find the value of gravitational acceleration on another planet where a cannon was fired straight up at 25 m/s and reached a maximum height of 50m, we can use the equation a = (v - u)/s. Plugging in the values, we get a = (0 - 25)/50 = -12.5 m/s^2.
  • #1
BTurner90
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Homework Statement


A cannon is fired on another planet straight up at 25 m/s. It reaches a maximum height of 50m. What is the value of the gravitational acceleration?


Homework Equations


v = v_i + at
x = .5 (v_i + vt)


The Attempt at a Solution


using the first equation,
a = (v - v_i)/t
a = (0-25)/2
g = -12.5 m/s^2
Where am I going wrong? Thanks
 
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  • #2
Welcome to PF!

Hi BTurner90! Welcome to PF! :smile:

(try using the X2 tag just above the Reply box :wink:)
BTurner90 said:
A cannon is fired on another planet straight up at 25 m/s. It reaches a maximum height of 50m. What is the value of the gravitational acceleration?

There are three standard constant acceleration equations, so choose the one that only has what you already know, and what you want to know.

In this case, you don't have t, and nobody's asking you for it, so choose an equation with u v a and s. :wink:
 

FAQ: Finding gravitational acceleration

What is gravitational acceleration?

Gravitational acceleration, also known as acceleration due to gravity, is the acceleration that an object experiences when it falls towards a larger body such as the Earth. It is a measure of how quickly an object's velocity changes due to the force of gravity.

How is gravitational acceleration calculated?

The formula for calculating gravitational acceleration is a = GM/r^2, where G is the gravitational constant (6.67 x 10^-11 m^3/kg/s^2), M is the mass of the larger body, and r is the distance between the object and the center of the larger body. This formula is known as Newton's Law of Universal Gravitation.

What factors affect gravitational acceleration?

The two main factors that affect gravitational acceleration are the mass of the larger body and the distance between the object and the center of the larger body. The greater the mass of the larger body, the stronger the force of gravity and thus the greater the acceleration. The further the distance from the center of the larger body, the weaker the force of gravity and thus the lower the acceleration.

How does gravitational acceleration vary on different planets?

Gravitational acceleration varies on different planets depending on their mass and size. For example, on Earth, the gravitational acceleration is 9.8 m/s^2, while on Mars it is 3.8 m/s^2 and on Jupiter it is 24.8 m/s^2. This means that objects will fall faster on planets with higher gravitational acceleration and slower on planets with lower gravitational acceleration.

Why is it important to know the value of gravitational acceleration?

Knowing the value of gravitational acceleration is important for many reasons. It allows us to understand and predict the motion of objects in free fall, such as falling objects or objects in orbit. It also helps us understand the behavior of celestial bodies in the universe and their interactions with each other. Additionally, it has practical applications in fields such as physics, engineering, and space exploration.

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