Finding Impulse and Velocity from Force vs. Time Graph

In summary, The problem involves a graph and an object with a mass of 1.7 kg. The task is to find the impulse of the force and the final velocity of the object under two different initial conditions. The graph does not represent the final velocity, but can be used to find the impulse. The impulse-momentum theorem can be used to solve the problem.
  • #1
MG5
60
0
Heres the graph.

6-p-015.gif


Heres the problem

Mass of the object is 1.7 kg.

(a) Find the impulse of the force.


(b) Find the final velocity of the object if it is initially at rest.


(c)Find the final velocity of the object if it is initially moving along the x-axis with a velocity of
−1.9 m/s.

Wouldn't the velocity be the area under the graph be the velocity?
 
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  • #2
MG5 said:
Heres the graph.

6-p-015.gif


Heres the problem

Mass of the object is 1.7 kg.

(a) Find the impulse of the force.

(b) Find the final velocity of the object if it is initially at rest.

(c)Find the final velocity of the object if it is initially moving along the x-axis with a velocity of
−1.9 m/s.

Wouldn't the velocity be the area under the graph be the velocity?
No.

It's not an acceleration vs time graph.
 
  • #3
Why don't you show us what you did and where you're stuck on a, b, and c.
 
  • #4
howie8594 said:
Why don't you show us what you did and where you're stuck on a, b, and c.

Don't even know where to start.
 
  • #5
MG5 said:
Don't even know where to start.
Well, you could use the impulse-momentum theorem.

Or

How is the graph related to an acceleration vs. time graph?
 
  • #6
If you want to find the impulse, it's force * time. Look at your graph again. It alone should be enough to find the impulse. The area of the graph does not represent the final velocity.
 

FAQ: Finding Impulse and Velocity from Force vs. Time Graph

What is impulse and how is it related to force and time?

Impulse is the change in momentum of an object and is equal to the force applied multiplied by the time it is applied for. This means that the greater the force and the longer the time, the greater the impulse will be.

How do you find the impulse from a force vs. time graph?

The impulse can be found by calculating the area under the force vs. time graph. This can be done by breaking up the graph into smaller, easier to calculate shapes (such as rectangles or triangles) and then adding up the areas of each shape.

What is velocity and how is it related to force and time?

Velocity is the speed and direction of an object's motion. It is related to force and time through Newton's second law, which states that the acceleration of an object is directly proportional to the force applied and inversely proportional to the mass of the object. This means that the greater the force and the longer the time, the greater the change in velocity will be.

How do you find the velocity from a force vs. time graph?

The velocity can be found by calculating the slope of the line on the force vs. time graph. This can be done by selecting two points on the line and dividing the change in force by the change in time between those two points. The resulting value will be the average velocity during that time interval.

What are some real-world applications of finding impulse and velocity from a force vs. time graph?

Some real-world applications include studying the impact of forces on objects during collisions, analyzing the performance of athletes in sports, and designing safety features for vehicles. It is also commonly used in engineering and physics experiments to understand the relationship between force, time, and motion.

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