A body with a mass of 8.06 kg moves along the x-axis, influenced by a conservative force F(x). F(x) = Ax²& N A =-4- where When the body is at position x; = 2.05 m, it is moving with a speed of vz = 6.01 m/s. What is the body's speed when it is at position x = -2.57 m? speed: m/s
A body with a mass of 8.06 kg moves along the x-axis, influenced by a conservative force F(x). F(x) = Ax²& N A =-4- where When the body is at position x; = 2.05 m, it is moving with a speed of vz = 6.01 m/s. What is the body's speed when it is at position x = -2.57 m? speed: m/s
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![A body with a mass of 8.06 kg moves along the \( x \)-axis, influenced by a conservative force \( F(x) \).
\[
\vec{F}(x) = \Lambda x^3 \hat{x} \quad \text{where} \quad \Lambda = -4 \frac{N}{m^3}
\]
When the body is at position \( x_i = 2.05 \, \text{m} \), it is moving with a speed of \( v_i = 6.01 \, \text{m/s} \). What is the body's speed when it is at position \( x_f = -2.57 \, \text{m}? \)
\[
\text{speed:} \quad \underline{\hspace{3cm}} \quad \text{m/s}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0216e4e-1caf-4fe9-a64a-56f4145639ff%2F579fca89-5a81-43a0-a1b3-a12cff1050b4%2F0fggok_processed.png&w=3840&q=75)
Transcribed Image Text:A body with a mass of 8.06 kg moves along the \( x \)-axis, influenced by a conservative force \( F(x) \).
\[
\vec{F}(x) = \Lambda x^3 \hat{x} \quad \text{where} \quad \Lambda = -4 \frac{N}{m^3}
\]
When the body is at position \( x_i = 2.05 \, \text{m} \), it is moving with a speed of \( v_i = 6.01 \, \text{m/s} \). What is the body's speed when it is at position \( x_f = -2.57 \, \text{m}? \)
\[
\text{speed:} \quad \underline{\hspace{3cm}} \quad \text{m/s}
\]
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