Minimum Acceleration for Safe Rope Sliding: 40kg Person on 350N Tension Rope

In summary, minimum acceleration is the smallest rate of change in an object's velocity over time, measured in meters per second squared (m/s^2). It can be calculated using the equation a = (vf - vi) / t and is affected by factors such as initial and final velocities, time interval, and object mass and shape. Finding minimum acceleration is important in understanding the rate of change in an object's velocity and is closely related to other concepts in physics, such as velocity, displacement, and force. It is also a key component of Newton's second law of motion.
  • #1
Dembart
2
0

Homework Statement


What is the minimum acceleration with which a 40.0kg person slides down a rope that can withstand a maximum tension of 350N and have the rope not break?

Homework Equations


Fnet=ma

The Attempt at a Solution


see upload
 

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  • #2
Your image is a bit hard to read, especially since it comes out sideways, but the final answer looks right.
In future, please take the trouble to type in your working, only using images for diagrams and pages of textbooks.
 
  • #3
Will do, Thank you.
 

1. What is minimum acceleration?

Minimum acceleration is the smallest rate of change in an object's velocity over time. It is often denoted as "a" in equations and is measured in meters per second squared (m/s^2).

2. How do you calculate minimum acceleration?

Minimum acceleration can be calculated using the equation a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the time interval. This equation is derived from the basic kinematic formula of a = ∆v / ∆t.

3. What factors affect minimum acceleration?

The main factors that affect minimum acceleration are the initial and final velocities of the object, as well as the time interval over which the change in velocity occurs. Other factors such as the mass and shape of the object can also have an impact.

4. Why is finding minimum acceleration important?

Finding minimum acceleration is important because it allows us to understand the rate at which an object's velocity is changing. This is useful in many scientific and engineering applications, such as designing vehicles or predicting the motion of celestial bodies.

5. How is minimum acceleration related to other concepts in physics?

Minimum acceleration is closely related to other concepts in physics, such as velocity, displacement, and force. It is a key component of Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration.

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