Velocity as a function of force/impulse/time.

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SUMMARY

The discussion focuses on calculating the impulse and final velocity of a 1.5 kg object subjected to a force as depicted in a force vs. time diagram. The impulse is confirmed to be 8 Newton seconds, which is correctly identified. However, the calculation for the final velocity using the equation V² = V₀² + 2aΔx is flawed due to the assumption of constant acceleration. The correct final velocity, given the initial conditions, is determined to be 5.3 m/s.

PREREQUISITES
  • Understanding of impulse and momentum concepts
  • Familiarity with kinematic equations, specifically V² = V₀² + 2aΔx
  • Basic knowledge of force vs. time diagrams
  • Ability to calculate acceleration from force and mass
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  • Study the relationship between impulse and momentum in detail
  • Learn how to analyze non-constant acceleration scenarios
  • Explore advanced kinematic equations for varying forces
  • Review practical applications of force vs. time diagrams in physics
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Students studying physics, particularly those focusing on mechanics, as well as educators teaching concepts of impulse and momentum.

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Homework Statement



The force shown in the force vs time diagram in Figure P6.11 acts on a 1.5 kg object. Find the impulse of the force, the final velocity of the object if it is initially at rest, and the final velocity if initial velocity is -2.00 m/s.

http://books.google.com/books?id=wD...x_cOMU0&sig=cqAzhugYbnZdpBwdwDdlRM82s1g&hl=en

Homework Equations



V[tex]^{2}[/tex] = V[tex]_{0}[/tex][tex]^{2}[/tex] + 2a[tex]\Delta[/tex]x

The Attempt at a Solution



I know impulse is just 8 Newton seconds, and i know that's the right answer. But the 2nd question is getting me.

V[tex]^{2}[/tex] = 0 + 2(2/1.5)(5) gives V[tex]^{2}[/tex] = 13.33. so v = 3.65.

But the answer is v = 5.3.

Where did I go wrong?
 
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the7joker7 said:

Homework Equations



V[tex]^{2}[/tex] = V[tex]_{0}[/tex][tex]^{2}[/tex] + 2a[tex]\Delta[/tex]x
This is when accn is const, which here it's not.

The Attempt at a Solution



I know impulse is just 8 Newton seconds, and i know that's the right answer. But the 2nd question is getting me.

V[tex]^{2}[/tex] = 0 + 2(2/1.5)(5) gives V[tex]^{2}[/tex] = 13.33. so v = 3.65.

But the answer is v = 5.3.

Where did I go wrong?

Use impulse = change in momentum.
 

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