An object with a mass of $3 k g$ $3 kg$ is pushed along a linear path with a kinetic friction coefficient of $u_{k} (x) = 2 e^{x} - x + 3$ $u_k(x)= 2e^x-x+3$ . How much work would it take to move the object over #x in [1, 4], where x is in meters?

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An object with a mass of $3 k g$ $3 kg$ is pushed along a linear path with a kinetic friction coefficient of $u_{k} (x) = 2 e^{x} - x + 3$ $u_k(x)= 2e^x-x+3$ . How much work would it take to move the object over #x in [1, 4], where x is in meters?

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Answer 1 · 2016-01-25T11:33:54

I found: $3095.8 J$ $3095.8J$ (check my math though!)

Explanation:

I used the integral version of Work due to the fact that the force depends upon $x$ $x$ (I also assumed the object moving at constant velocity along $x$ $x$ ).
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An object with a mass of $3 k g$ $3 kg$ is pushed along a linear path with a kinetic friction coefficient of $u_{k} (x) = 2 e^{x} - x + 3$ $u_k(x)= 2e^x-x+3$ . How much work would it take to move the object over #x in [1, 4], where x is in meters?

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Explanation:

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An object with a mass of 3kg3 kg is pushed along a linear path with a kinetic friction coefficient of uk(x)=2ex−x+3u_k(x)= 2e^x-x+3 . How much work would it take to move the object over #x in [1, 4], where x is in meters?

1 Answer

Explanation:

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An object with a mass of $3 k g$ $3 kg$ is pushed along a linear path with a kinetic friction coefficient of $u_{k} (x) = 2 e^{x} - x + 3$ $u_k(x)= 2e^x-x+3$ . How much work would it take to move the object over #x in [1, 4], where x is in meters?