Impulse and Force-Time Graph Problem

In summary, an impulse is the change in momentum of an object, which can be calculated by multiplying the average force applied to the object by the time period over which the force is applied. This is described by the Impulse-Momentum Theorem. A force-time graph is a visual representation of the force applied to an object over time, with the area under the curve representing the impulse. The shape of the curve and the area under it can provide information about the force and impulse applied to the object.
  • #1
jmm
26
0

Homework Statement


09.EX05.jpg

In the figure , what value of Fmax gives an impulse of 7.1 Ns


Homework Equations


1832c91daa867136732d31cc7c988eb0.png



The Attempt at a Solution


Impulse is the integral of force with respect to time which is the same the area under the force-time graph which is given by the area of the triangle: 0.5*Fmax*8s

7.1 Ns = 4s * Fmax
Fmax = 1.775 N

However that's not the right answer. Where did I go wrong? Thanks!
 
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  • #2
The time axis is in milliseconds.
 
  • #3
Haha thanks! I never would've noticed that.
 

Related to Impulse and Force-Time Graph Problem

What is an impulse?

An impulse is the change in momentum of an object, which is equal to the force applied to the object multiplied by the time interval over which the force is applied.

What is the relationship between impulse and force?

The relationship between impulse and force is described by the Impulse-Momentum Theorem, which states that the impulse of a force is equal to the change in momentum of an object.

How is impulse calculated?

Impulse is calculated by multiplying the average force applied to an object by the time period over which the force is applied. This can be represented by the equation J = FΔt, where J is impulse, F is force, and Δt is the time interval.

What is a force-time graph?

A force-time graph is a visual representation of the force applied to an object over a period of time. The area under the curve on a force-time graph represents the impulse applied to the object.

How do you interpret a force-time graph?

To interpret a force-time graph, you must look at the shape of the curve and the area under the curve. A steep slope indicates a large force being applied, while a shallow slope indicates a smaller force. The area under the curve represents the impulse, with a larger area indicating a greater impulse.

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