Distance from an initial position that two objects will meet

In summary, a 40kg girl and an 8.4kg sled are initially positioned 15m apart on the surface of a frozen lake. The girl pulls the sled towards her with a horizontal force of 5.2N using a rope. Using the equation f=ma, it can be determined that the sled's acceleration is 0.62ms^-2 and the girl's acceleration is 0.13ms^-2. To find the distance from the girl's initial position where they meet, the equations relating initial and final positions, times, and velocities can be used, with unknowns represented as variables. Algebra may be necessary to solve the problem.
  • #1
Amelina Yoo
14
0

Homework Statement


40kg girl and 8.4kg sled are 15m apart on the surface of a frozen lake. By means of a rope, girl exerts a horizontal force of 5.2N on the sled, pulling it towards her.

How far from the girls initial position do they meet?

Homework Equations


f=ma

The Attempt at a Solution


I found that the acceleration of the sled is 0.62ms^-2 and the acceleration of the girl is 0.13ms^-2. However, I do not know where to advance at this point. I tried to find time, but to do so I need speed, and speed requires time.

Thank you if you are able to help me :-)
 
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  • #2
Instead of concentrating on what you don't know - why not write down what you do know.
You know initial positions and times and velocities for eg.
You also know some equations relating these to final positions and times ... start with those.
Keep the unknowns as variables. You may have to use algebra to solve the problem.
 

1. How is distance from an initial position calculated?

The distance from an initial position is calculated by finding the difference between the final position and the initial position. This can be done by subtracting the initial position from the final position.

2. What factors affect the distance from an initial position?

The distance from an initial position is affected by the speed and direction of both objects, as well as the time it takes for the objects to meet.

3. Is there a specific formula for calculating the distance from an initial position?

Yes, the formula for calculating the distance from an initial position is d = rt, where d is the distance, r is the rate or speed of the objects, and t is the time it takes for the objects to meet.

4. Can the distance from an initial position be negative?

Yes, the distance from an initial position can be negative if one of the objects is moving in the opposite direction from the other object. This indicates that the objects will never meet.

5. How can the distance from an initial position be used in real-life situations?

The distance from an initial position can be used in a variety of real-life situations, such as calculating the time it takes for two vehicles to reach the same destination, or determining when two people walking towards each other will meet. It can also be used in sports, such as calculating the distance between two players running towards each other on a field.

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