How can I solve these two physics problems involving work and springs?

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Homework Help Overview

The discussion revolves around two physics problems involving work and springs, specifically focusing on the concepts of work done against gravity and spring mechanics. The first problem involves calculating the work required to move a car up an incline, while the second problem pertains to the motion of a trampoline artist and the behavior of a spring.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • The original poster attempts to apply formulas related to work and energy but expresses uncertainty about their correctness. They also question how to effectively use equations related to spring mechanics.

Discussion Status

Some participants have suggested creating a free body diagram to analyze forces acting on the car on the incline. Others have mentioned using Newton's second law as a potential approach, indicating a variety of strategies being explored without a clear consensus on the best method.

Contextual Notes

The original poster notes a time constraint due to an upcoming quiz, which may influence the urgency of their requests for assistance. There is also mention of specific values and conditions in the problems, such as the incline angle and spring constant, which are under discussion.

Fused
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Any Hints??

I'm stuck on these 2 problems.. Any hints would be helpful!

1. What is the minimum work needed to push a 950-kg car 810m up along a 9 degree incline? a) ignore friction, b) assume the effective coefficient of a friction retarding the car is .25.

This is what I did, but I don't think it's correct... :
A) W= Fdcost = mdcost = (950)(810cos9) = 7.6 * 10^5 J.
B) Wfr= Ffr*x*cos(180+9) = .25 * 810 *cos189 = -200 J

2. A 65 kg trampoline artist jumps vertically upward from the top of a platform with a speed of 5 m/s. A) how fast is he going as he lands o nteh trampoline, 3 m below? b) if the trampoline behaves liek a sprign with spring stiffness constant 6.2 * 10 ^4 N/m how far does he depress it?
I got the a) part using .5mv^2 + mgy1 = .5mv^2 + mgy2
and found v= 9.15 m/s
b) I'm not sure which equation to use... I tried using .5mvi^2 + .5kx1^2 = .5mvf^2 + .5kx2^2 But I wasn't quite sure what to plug in, and when I tried all the different possibilities I did not get the corect answer.
 
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Nobody? Please help! I have a quiz this friday! I really need to know how to do these problems!
 
Fused do a Free body diagram for the body on the incline.
 
I did that, but I don't know how to put the information into formulas

Cyclovenom said:
Fused do a Free body diagram for the body on the i

ncline.
 
Use Newton's 2nd Law

[tex]\sum^{n}_{i=1} \vec{F}_{i} = m \vec{a}[/tex]
 

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