Find the accleration of gravity on planet Zircon.

In summary, an astronaut on planet Zircon throws a rock horizontally with a speed of 6.95 m/s. The rock falls 1.10 meters and lands 8.85 meters away from the astronaut. Using the equations ΔX = 1/2(Vi + Vf)T and ΔY = ViT + 1/2AT^2, with T = 1.778 s and A = 1.58 m/s^2, we can calculate the horizontal and vertical components of the rock's motion. The numbers 8.85 and 9.95 used in the equations are the horizontal and vertical distances, respectively. The horizontal component of the velocity should not change on planet Zircon.
  • #1
zeromodz
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Homework Statement


An astronaut on the planet Zircon tosses a rock horizontally with a speed of 6.95 m/s . The rock falls through a vertical distance of 1.10 meters and lands a horizontal distance of 8.85 meters from the astronaut.


Homework Equations





The Attempt at a Solution



ΔX = 1/2(Vi + Vf)T
T = 2ΔX / (Vi + Vf)
T = (2)(8.85) / (9.95 + 0)
T = 1.778 s


ΔY = ViT + 1/2AT^2
ΔY - ViT = 1/2AT^2
A = 2(ΔY - ViT) / T^2
A = 2(1.10 - 0) / (1.778)^2
A = 1.58 m/s^2
 
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  • #2
zeromodz said:

The Attempt at a Solution



ΔX = 1/2(Vi + Vf)T
T = 2ΔX / (Vi + Vf)
T = (2)(8.85) / (9.95 + 0)
T = 1.778 s

Where did you get these numbers 8.85 and 9.95?
Why should the horizontal component of the velocity on planet Zircon change?
 

1. What is the definition of acceleration of gravity?

The acceleration of gravity is the rate at which an object falls towards the surface of a planet or other astronomical body due to the force of gravity. It is typically denoted as "g" and is measured in units of meters per second squared (m/s²).

2. How is the acceleration of gravity on planet Zircon different from Earth?

The acceleration of gravity on planet Zircon will be different from Earth due to variations in the planet's mass and radius. The formula for finding the acceleration of gravity is g = G(M/R²), where G is the gravitational constant, M is the mass of the planet, and R is the distance from the planet's center. Since Zircon is a different size and mass than Earth, its acceleration of gravity will be different.

3. How can the acceleration of gravity on planet Zircon be measured?

The acceleration of gravity on planet Zircon can be measured using a device called a gravimeter. This instrument measures the force of gravity at different points on the planet's surface and calculates the average acceleration of gravity for that location.

4. What factors can affect the acceleration of gravity on planet Zircon?

The main factors that can affect the acceleration of gravity on planet Zircon are the planet's mass and radius. Other factors that may have a smaller impact include the planet's rotation, shape, and altitude.

5. How does the acceleration of gravity on planet Zircon impact objects and movement?

The acceleration of gravity on planet Zircon will impact the movement of objects in a similar way to Earth. Objects will fall towards the planet's surface at a rate determined by the acceleration of gravity. This can also affect the speed and trajectory of objects launched from the planet's surface.

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