Kinematics problems: Displacement in Moon & Proportionality

In summary, the horizontal distance traveled by the stone, d, on the moon will increase by a factor of 6 when the acceleration due to gravity is 1/6 that of Earth. This is determined by rearranging the kinematic equation and understanding the terms involved, including motion in one direction and the height above the ground.
  • #1
Tanha Kate
1
0

Homework Statement



An astronaut on the moon throws a stone horizontally with a speed V0. If the acceleration due to gravity on the moon is 1⁄6 that of the Earth, by what factor will the horizontal distance traveled by the stone, d, change?

Answer Options:
2

2.44

1.20

36

6

Homework Equations



U1L6a1.gif


The Attempt at a Solution


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Rearranging kinematic equation to make displacement the subject

upload_2016-11-18_12-45-0.jpeg


Hence, inverse proportionality suggests displacement will increase by a factor of 6 but this is not the answer
 
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  • #2
When you use any formula, you must understand why that formula applies to the situation you are dealing with and what each term in the formula represents.

In this case, are you dealing with motion in one direction?

Also, what about the height above the ground that the stone is thrown?
 

What is displacement in kinematics?

Displacement in kinematics refers to the change in position of an object in a particular direction. It is a vector quantity, as it has both magnitude (distance) and direction.

How is displacement calculated in kinematics?

Displacement is calculated by subtracting the initial position of an object from its final position. This can be represented as Δx = xf - xi, where Δx is the displacement, xf is the final position, and xi is the initial position.

What is the equation for proportionality in kinematics?

In kinematics, the equation for proportionality is v = d/t, where v is the velocity, d is the displacement, and t is the time taken to travel that displacement. This equation shows that velocity is directly proportional to displacement and inversely proportional to time.

How does kinematics apply to the moon?

Kinematics can be applied to the moon by analyzing the motion of objects on its surface. The same principles of displacement and proportionality can be used to calculate the motion of objects on the moon, taking into account the moon's lower gravity and different surface conditions.

What are some common real-life applications of kinematics?

Kinematics has many real-life applications, such as in the design of roller coasters, analyzing the motion of vehicles and projectiles, and understanding the movement of celestial bodies like planets and satellites. It is also used in sports, such as determining the trajectory of a ball in a game of baseball or soccer.

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