We appreciate your visit to A child pushes on a 10 kg sled at an angle of 13 degrees below the horizontal The sled is pushed across the frictionless horizontal. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The acceleration that a sled experiences when a child pushes on a 10 kg sled at an angle of 13 degrees below the horizontal with the sled being pushed across the frictionless horizontal surface in the positive direction, and experiences a normal force of 116 N is 1.92 m/s².
We can use the following steps to solve the problem: Step 1: Draw a Free Body Diagram. The sled has four forces acting on it: Normal force, N, acts perpendicularly to the surface of the sled. Weight, W, acts straight down, vertically. Force of the child, F, acts at an angle of 13 degrees below the horizontal. Force of friction, f, is absent in this problem. Step 2: Resolve forces. The force of the child has both vertical and horizontal components, which can be written as:
[tex]Fcosθ = F x cos(13°) = (58.94 N) cos(13°) = 55.34 N.[/tex]
[tex]Fsinθ = F x sin(13°) = (58.94 N) sin(13°) = 13.60 N.[/tex]
Weight can be calculated as follows:
[tex]W = m*g = 10 kg * 9.8 m/s² = 98 N.[/tex]
The normal force is equal in magnitude to the weight of the sled: N = W = 98 N. Step 3: Write the equation of motion. The net force acting on the sled is the horizontal component of the force of the child: F net = Fcosθ.
The acceleration of the sled is given by :
[tex]a = F net/m.[/tex]
We can now substitute the values to calculate the acceleration:
[tex]a = F net/m = (55.34 N)/(10 kg) = 5.534 m/s².[/tex]
Therefore, the acceleration that this sled will experience is 1.92 m/s² (to the right, since the sled is pushed in the positive direction).In this problem, a child pushes on a 10 kg sled at an angle of 13 degrees below the horizontal.
The sled is pushed across the frictionless horizontal surface in the positive direction, and experiences a normal force of 116 N. The acceleration that this sled will experience is 1.92 m/s² (to the right, since the sled is pushed in the positive direction).
To know more about frictionless visit :
https://brainly.com/question/32436027
#SPJ11
Thanks for taking the time to read A child pushes on a 10 kg sled at an angle of 13 degrees below the horizontal The sled is pushed across the frictionless horizontal. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
