Answer:
The acceleration of the sled is 1.584 m/s².
Explanation:
What is kinect friction force?
Friction always occur when two surfaces slide across one another. For example, if we push an object and it starts moving, we can say there's a kinect (dynamic) friction force between that object and the surface under.
Now, let's solve the problem.
First, we've got to write the data down.
[tex]\bullet \quad m=300\,kg\\\\\bullet \quad F=828\,N\\\\\bullet \quad \mu_k=0.120[/tex]
Sketch a picture of the problem and point all forces acting on the sled (see attached).
Apply Newton's Second Law Of Motion:
[tex]F_{net}=m\cdot a[/tex]
Let's set our reference system positive to the right. Above equation becomes:
[tex]F-f_k=m\cdot a[/tex]
where [tex]f_k[/tex] is the kinect friction force.
Looking up free body diagram, we can see support force equals the weight of the sled, so that we can write:
[tex]F-\mu_k\cdot m \cdot g=m \cdot a[/tex]
Solving for a:
[tex]a=\dfrac{F-\mu_k \cdot m \cdot g}{m}[/tex]
Let's take 9.8 m/s² for the acceleration of gravity and plug the data on the equation.
[tex]a=\dfrac{828-(0.120)\cdot 300\cdot(9.8)}{300}[/tex]
[tex]\therefore \boxed{a=1.584\,m/s^2}[/tex]
Conclusion: the acceleration of the sled is 1.584 m/s².
Keep learning with this link:
Friction force
https://brainly.com/question/25123392
Happy studying!
Brainly Team
