Momentum Relative to Surface / Plug-and-Chug

In summary, the conversation discusses a scenario where Stevie stands on a rolling platform and begins walking at a constant velocity. The platform and Stevie are initially stationary and the question asks for the platform's velocity and Stevie's velocity relative to the floor. Using the Conservation of Momentum equation, the platform's velocity is calculated to be -0.43 m/s and Stevie's velocity is calculated to be 0.77 m/s. The problem is solved with the help of BishopUser's guidance on considering the additional mass of the platform due to someone standing on it.
  • #1
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Homework Statement



Stevie stands on a rolling platform designed for moving heavy objects. The platform has mass of 76 kg and is on a flat floor, supported by rolling wheels that can be considered to be frictionless. Stevie's mass is 43 kg. The platform and Stevie are stationary when she begins walking at a constant velocity of +1.2 m/s relative to the platform. (a) What is the platform's velocity relative to the floor? (b) What is Stevie's velocity relative to the floor?

Homework Equations



(p)i = (p)f Conservation of Momentum


The Attempt at a Solution



Used Conservation of Momentum, but I am having trouble establishing a reference point.

43x1.2 + 76xV2f = 0 - That's for the the platform and Stevie.

.521x119 = 43xV1f + 76xV2f - That's for the entire system...I think.

As stated above, I think my problem is finding the reference point. I would normally spend more time with this one by myself, but I have a quiz on this fairly soon.


The answers:
(a) −0.43 m/s
(b) 0.77 m/s
 
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  • #2
Your first equation would give you the correct answer if you considered that the platform has additional mass as a result of someone standing on it.
 
  • #3
Of course it would.

You're the man BishopUser. Thanks dude.
 

FAQ: Momentum Relative to Surface / Plug-and-Chug

What is momentum relative to surface?

Momentum relative to surface is a measure of the motion of an object in relation to a specific surface or reference point. It takes into account the mass, velocity, and direction of an object and how it changes over time.

How is momentum relative to surface calculated?

Momentum relative to surface is calculated by multiplying an object's mass by its velocity. The equation for momentum is p = mv, where p is momentum, m is mass, and v is velocity.

What is the principle of conservation of momentum?

The principle of conservation of momentum states that in a closed system, the total momentum before an event or interaction is equal to the total momentum after the event or interaction. This means that momentum cannot be created or destroyed, only transferred between objects.

How is momentum relative to surface used in plug-and-chug problems?

Momentum relative to surface is used in plug-and-chug problems to solve for the final velocity or mass of an object after a collision or interaction. It can also be used to calculate the force or impulse exerted on an object.

What are some real-life applications of momentum relative to surface?

Momentum relative to surface is used in many real-life applications, such as car accidents, sports, and rocket launches. It is also important in understanding the motion of objects in space and in determining the effectiveness of collisions in industrial machinery.

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