AUS-6 Sean has designed a system to move 50.0kg shipping crates from a smooth (frictionless) floor onto a rough ramp for which μ-0.225 that is inclined 35.0° from the horizontal. Each crate starts at rest against a spring with a spring constant 8.60x10³N/m that is compressed 0.750m. When released, the spring pushes the crate, which then leaves the spring and slides up the rough ramp. The crate comes to a stop at a final height h₂ shown in the figure below. unloaded position TE 0.750m 50.0kg... 35.0⁰ h₂ Find the height h₂, in meters. Mechanical energy will not be conserved, so use WNC = AK + AU.

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Chapter1: Units, Trigonometry. And Vectors
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AUS-6 Sean has designed a system to move 50.0kg shipping crates from a smooth (frictionless) floor onto a
rough ramp for which 4-0.225 that is inclined 35.0° from the horizontal. Each crate starts at rest
against a spring with a spring constant 8.60x10³N/m that is compressed 0.750m. When released, the
spring pushes the crate, which then leaves the spring and slides up the rough ramp. The crate comes to a
stop at a final height h₂ shown in the figure below.
unloaded position
*
0.750m
50.0kg..
35.0⁰
h₂
Find the height h₂, in meters. Mechanical energy will not be conserved, so use WNC = AK + AU.
PE-1 A particle moves in one dimension and is subject to a conservative force, which is given
by the function F(x) shown below, where x is in meters and F is in Newtons.
F(x) = 3x²+x-5
a)
Find the corresponding potential energy function U(x), if the zero point of potential
energy is x = 0.
b) What is the potential energy of the particle (in Joules) at x = 3 meters?
C
Transcribed Image Text:AUS-6 Sean has designed a system to move 50.0kg shipping crates from a smooth (frictionless) floor onto a rough ramp for which 4-0.225 that is inclined 35.0° from the horizontal. Each crate starts at rest against a spring with a spring constant 8.60x10³N/m that is compressed 0.750m. When released, the spring pushes the crate, which then leaves the spring and slides up the rough ramp. The crate comes to a stop at a final height h₂ shown in the figure below. unloaded position * 0.750m 50.0kg.. 35.0⁰ h₂ Find the height h₂, in meters. Mechanical energy will not be conserved, so use WNC = AK + AU. PE-1 A particle moves in one dimension and is subject to a conservative force, which is given by the function F(x) shown below, where x is in meters and F is in Newtons. F(x) = 3x²+x-5 a) Find the corresponding potential energy function U(x), if the zero point of potential energy is x = 0. b) What is the potential energy of the particle (in Joules) at x = 3 meters? C
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