Power Problem Homework: Compare Cart Delivery

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Homework Help Overview

The problem involves comparing the power delivered to two frictionless carts, one carrying a squid and the other a mango, under the influence of the same force. The squid's cart has an initial velocity, while the mango's cart starts from rest. The discussion centers around the implications of these conditions on power delivery.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between force, velocity, and power, questioning how the initial velocity affects power delivery. There is an exploration of the need for acceleration to determine final velocities.

Discussion Status

Participants are actively engaging with the problem, raising questions about the necessary variables and their implications. Some guidance is offered regarding the relationship between force and acceleration, but there is no consensus on the correct approach or interpretation of the problem.

Contextual Notes

There is uncertainty regarding the appropriate value for acceleration, with participants questioning the use of standard gravitational acceleration in this context. The initial conditions of the carts are also under scrutiny.

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Homework Statement



I push two frictionless carts along a table, using a force of 10 N on each. Riding on one cart is a squid and on the other cart is a mango. They have the same mass. The squid's cart is moving at 2.0 m/s when I start pushing, in the same direction that I push. The mango's cart, on the other hand, starts from rest. Compare the power that I am delivering to each cart.

Which of the following is correct?

I am delivering more power to the cart with the squid.

I am delivering more power to the cart with the mango.

I am delivering the same power to both since the force is the same.



Homework Equations



P=F(V)


The Attempt at a Solution



I can substitute ma for force and V0 +(1/2)a(t) for V. But i have two unknows a and P.
Am I applying more power to the cart with the squid because the initial velocity 2.0 ?
 
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Since P = FV, and F is the same, the question boils down to the comparison of the velocities. Can you say which one is greater? Is it always greater? Why?
 
I need the acceleration to solve for the velocity...
 
You have the force. Surely you can obtain acceleration.
 
can i use 9.8 for acceleration? in that case squid has a greater velocity since it started at 2.0
 
Why 9.8? Why not 370913.2?
 
Where are getting that number from?
 

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