A carnival ride consists of a car travelling in the horizontal plane connected to a rigid rod with a length of 3 m and rotating around a fixed point O as shown in the image below. The car's engine provides a time-varying force perpendicular to the rod given by F(t) = 30t² + 120 N. The total mass of the car is 120 kg. The car is initially moving at 1 m/s. Calculate the car's speed after the force is applied for 3 s. The coefficient of kinetic friction between the car and the ground is 0.1.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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A carnival ride consists of a car travelling in the horizontal plane connected to a rigid rod
with a length of 3 m and rotating around a fixed point O as shown in the image below. The car's
engine provides a time-varying force perpendicular to the rod given by F(t) = 30t² + 120 N. The
total mass of the car is 120 kg. The car is initially moving at 1 m/s. Calculate the car's speed after the
force is applied for 3 s. The coefficient of kinetic friction between the car and the ground is 0.1.
Transcribed Image Text:A carnival ride consists of a car travelling in the horizontal plane connected to a rigid rod with a length of 3 m and rotating around a fixed point O as shown in the image below. The car's engine provides a time-varying force perpendicular to the rod given by F(t) = 30t² + 120 N. The total mass of the car is 120 kg. The car is initially moving at 1 m/s. Calculate the car's speed after the force is applied for 3 s. The coefficient of kinetic friction between the car and the ground is 0.1.
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