Question

An object of mass 1.25 kg at the bottom of a ramp is given an initial speed of 4.45 m/s up the 30.0° slope. After sliding a distance of 1.00 m along the surface it comes into contact with the end of a spring and compresses the spring an additional 0.350 m before coming to rest. If the coefficient of kinetic friction between the object and the inclined surface is 0.250, determine the force constant of the spring.

Name: an object of mass 125 kg at the bottom of a ramp is given an initial speed of 445 ms up the 300 slope after sliding a distance of 100 m along the surface it comes into contact with the end o 34952
Uploaded: 2023-04-07T19:56:24-08:00
Duration: 2 min 7 s
Channel: Timothy James
Description: an object of mass 125 kg at the bottom of a ramp is given an initial speed of 445 ms up the 300 slope after sliding a distance of 100 m along the surface it comes into contact with the end o 34952

          An object of mass 1.25 kg at the bottom of a ramp is given an
initial speed of 4.45 m/s up the 30.0° slope. After sliding a
distance of 1.00 m along the surface it comes into contact with the
end of a spring and compresses the spring an additional 0.350 m
before coming to rest. If the coefficient of kinetic friction
between the object and the inclined surface is 0.250, determine the
force constant of the spring.

Added by Andrew T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Timothy James

04/07/2023

Step 1

First, we need to find the work done by friction as the object slides up the ramp. We can use the formula: $W_{friction} = -f_k \cdot d$ where $f_k$ is the kinetic friction force and $d$ is the distance the object slides up the ramp. Show more…

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An object of mass 1.25 kg at the bottom of a ramp is given an initial speed of 4.45 m/s up the 30.0° slope. After sliding a distance of 1.00 m along the surface it comes into contact with the end of a spring and compresses the spring an additional 0.350 m before coming to rest. If the coefficient of kinetic friction between the object and the inclined surface is 0.250, determine the force constant of the spring.