Solving for Acceleration and Friction on an Inclined Plane

In summary, the problem involves a 2.91 kg block sliding down a 32◦ incline for 1.28 seconds. The acceleration of gravity is 9.8 m/s2 and the goal is to find the acceleration, coefficient of kinetic friction, frictional force, and final speed of the block. To solve this, we can use Newton's 2nd law and split the weight of the block into two components, one parallel and one perpendicular to the incline. Using the formula s=ut+(1/2)at^2, we can find the acceleration felt by the block and then use Vx=Vcosθ and Vy=Vsinθ to find the x and y components of the acceleration
  • #1
mickjagger
4
0
Applying Newton's 2nd law?!

Homework Statement



A 2.91 kg block starts from rest at the top of a 32◦ incline and slides 1.98 m down the incline in 1.28 s.
The acceleration of gravity is 9.8 m/s2

What is the acceleration of the block?
Answer in units of m/s2

What is the coefficient of kinetic friction be-
tween the block and the incline?

What is the frictional force acting on the
block?
Answer in units of N.

What is the speed of the block after it slid the
1.98 m? answer in m/s




Homework Equations


Newtons 2nd's Law

max=[tex]\sum[/tex]fx=mgsin[tex]\Theta[/tex]

0=[tex]\sum[/tex] Fy=-mgcos[tex]\Theta[/tex]+n


The Attempt at a Solution


I have no idea how to approach this problem.
 
Physics news on Phys.org
  • #2


The weight of the block can be split into two components, one parallel to the plane and one perpendicular to the plane.

What the component parallel to the plane and what is the component perpendicular to the plane?
 
  • #3


The thing to realize is that acceleration is change of velocity over time, and can be related to both velocity and distance.
I would assume that the acceleration is smooth, and apply the old formula

s=ut+(1/2)at^2 [s=distance, u=initial velocity, a= acceleration]

Then I would be able to derive the acceleration that was felt by the block while it slid down the plane, which is a good start.
 
  • #4


using Vx=V cos Theta and Vy=Vsin theta:
x component= 1.679?
y component= 1.0492?
 

Related to Solving for Acceleration and Friction on an Inclined Plane

1. How do you calculate the net force in Newton's 2nd law?

In Newton's 2nd law, the net force is calculated by multiplying the mass of an object by its acceleration. This can be represented by the equation F=ma, where F is the net force, m is the mass, and a is the acceleration.

2. What is the relationship between force and acceleration in Newton's 2nd law?

According to Newton's 2nd law, force and acceleration are directly proportional to each other. This means that if the force applied to an object increases, its acceleration will also increase. Similarly, if the force decreases, the acceleration will also decrease.

3. Can Newton's 2nd law be applied to a system of multiple objects?

Yes, Newton's 2nd law can be applied to a system of multiple objects. In this case, the net force is calculated by adding up all the individual forces acting on each object and dividing by the total mass of the system.

4. How does Newton's 2nd law explain the motion of an object?

Newton's 2nd law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This means that the greater the force applied to an object, the greater its acceleration will be, and the larger the mass of an object, the smaller its acceleration will be.

5. Can Newton's 2nd law be applied to non-uniform motion?

Yes, Newton's 2nd law can be applied to non-uniform motion. In this case, the net force is calculated at each point along the object's path and the average acceleration is determined by dividing the change in velocity by the time interval.

Similar threads

  • Introductory Physics Homework Help
Replies
13
Views
994
  • Introductory Physics Homework Help
Replies
5
Views
383
  • Introductory Physics Homework Help
2
Replies
42
Views
3K
  • Introductory Physics Homework Help
Replies
16
Views
1K
  • Introductory Physics Homework Help
Replies
14
Views
891
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
2
Replies
38
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
1K
Replies
24
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
1K
Back
Top