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title: "A motorized winch pulls a 2.0 kg sled up an incline. The cable exerts a tension force of magnitude F directed parallel to the incline. Sensors record the cable tension and the sled speed along the incline at five discrete times: at t = 0.0 s, F = 40 N and v = 0.0 m/s; at t = 1.0 s, F = 45 N and v = 3.0 m/s; at t = 2.0 s, F = 55 N and v = 6.0 m/s; at t = 3.0 s, F = 70 N and v = 9.0 m/s; and at t = 4.0 s, F = 90 N and v = 12.0 m/s. The sled speed increases linearly with time throughout this interval. Which of the following correctly identifies the instantaneous power delivered by the cable, the instantaneous rate of change of the sled’s kinetic energy, and the sled’s kinetic energy at t = 3.0 s?"
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url: "https://nerd-notes.com/ubq/120701/"
date_modified: "2026-08-23T04:42:46+00:00"
---

# A motorized winch pulls a 2.0 kg sled up an incline. The cable exerts a tension force of magnitude F directed parallel to the incline. Sensors record the cable tension and the sled speed along the incline at five discrete times: at t = 0.0 s, F = 40 N and v = 0.0 m/s; at t = 1.0 s, F = 45 N and v = 3.0 m/s; at t = 2.0 s, F = 55 N and v = 6.0 m/s; at t = 3.0 s, F = 70 N and v = 9.0 m/s; and at t = 4.0 s, F = 90 N and v = 12.0 m/s. The sled speed increases linearly with time throughout this interval. Which of the following correctly identifies the instantaneous power delivered by the cable, the instantaneous rate of change of the sled’s kinetic energy, and the sled’s kinetic energy at t = 3.0 s?

A motorized winch pulls a 2.0 kg sled up an incline. The cable exerts a tension force of magnitude F directed parallel to the incline. Sensors record the cable tension and the sled speed along the incline at five discrete times: at t = 0.0 s, F = 40 N and v = 0.0 m/s; at t = 1.0 s, F = 45 N and v = 3.0 m/s; at t = 2.0 s, F = 55 N and v = 6.0 m/s; at t = 3.0 s, F = 70 N and v = 9.0 m/s; and at t = 4.0 s, F = 90 N and v = 12.0 m/s. The sled speed increases linearly with time throughout this interval. Which of the following correctly identifies the instantaneous power delivered by the cable, the instantaneous rate of change of the sled's kinetic energy, and the sled's kinetic energy at t = 3.0 s?

![A 2D schematic diagram showing a right-triangular incline sloping upward to the right. A rectangular box representing a sled of mass m sits on the inclined surface. A straight line representing a cable extends from the right face of the sled parallel to the ramp surface to a circular winch drum fixed at the top peak of the incline. A single arrow labeled F points uphill along the cable. A second arrow labeled v starts at the top center of the sled and points uphill parallel to the incline. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787460166-kAbF4s.jpg)

- **A.** Cable Power: \(315 \text{ W}\) | Rate of Change of KE: \(27 \text{ W}\) | Sled KE: \(81 \text{ J}\)
- **B.** Cable Power: \(630 \text{ W}\) | Rate of Change of KE: \(630 \text{ W}\) | Sled KE: \(162 \text{ J}\)
- **C.** Cable Power: \(630 \text{ W}\) | Rate of Change of KE: \(54 \text{ W}\) | Sled KE: \(81 \text{ J}\)
- **D.** Cable Power: \(630 \text{ W}\) | Rate of Change of KE: \(27 \text{ W}\) | Sled KE: \(81 \text{ J}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120701/*