An amusement park ride consists of a slide that is sloped an an angle of 30.6 de

Question

An amusement park ride consists of a slide that is sloped an an angle of 30.6 degrees with respect to the vertical with a spring located at the top of the ramp with a spring constant of 209 N/m. A person will sit in a sled on the ramp, and then the spring is compressed by the operator an amount of 2.4 m. The spring is then released by the operator and person plus sled are pushed down the ramp by the spring. The sled will become separated from the spring once the spring returns to its rest length. Also, there is friction between the sled and the ramp which has a coefficient of kinetic friction of 0.7. Consider the person and sled as one object with a total mass of 68.2 kg.

After the person has traveled down the ramp a distance 6.0 m, the person will have a speed of 8.777 m/s, the spring has returned to its rest length and you determine that 858 J of thermal energy went into the ramp as the person travels this distance.

If you use person plus sled as your system, what is the total work done on the system?

Explanation / Answer

Here ,

work done by friciton , Wf = thermal energy produced

Wf = 858 J

NOw , Using Work energy theorum ,

the total work done = change in Kinetic energy

Total work Done = 0.5 * 68.2 * (8.777^2 - 0^2)

Total work Done = 2626.92 J

the total work done on the person plus sled system is 2626.92 J

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.