Problem 1 The downhill racer team is testing a new design. There are 4 wheels each with a diameter of 0.4 m and a mass of 2.0 kg. The rest of the cart has a mass of 20 kg. A spring-loaded brake applies a constant force of 50 N on the two rear wheels. The coefficient of friction between a brake pad and a wheel is 0.7. The cart is traveling down a slope of 0 = 10° at 13.5 km/hr when the brake is applied. Determine how far the racer will travel down the slope until it stops. Model the wheels as uniform thin discs.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Problem 1

The [Redacted] downhill racer team is testing a new design. There are 4 wheels, each with a diameter of 0.4 m and a mass of 2.0 kg. The rest of the cart has a mass of 20 kg. A spring-loaded brake applies a constant force of 50 N on the two rear wheels. The coefficient of friction between a brake pad and a wheel is 0.7. The cart is traveling down a slope of θ = 10° at 13.5 km/hr when the brake is applied. Determine how far the racer will travel down the slope until it stops. Model the wheels as uniform thin discs.

#### Diagram Explanation:
The diagram illustrates the cart with two large wheels on a slope inclined at an angle (θ) of 10°. The cart is represented as a rectangular body connected to the two wheels. The force due to the brake is applied to the two rear wheels.

### Instructions:
1. Model the wheels as uniform thin discs for calculations.
2. Use the provided dimensions and values to determine the distance traveled by the cart before it comes to a stop.
Transcribed Image Text:### Problem 1 The [Redacted] downhill racer team is testing a new design. There are 4 wheels, each with a diameter of 0.4 m and a mass of 2.0 kg. The rest of the cart has a mass of 20 kg. A spring-loaded brake applies a constant force of 50 N on the two rear wheels. The coefficient of friction between a brake pad and a wheel is 0.7. The cart is traveling down a slope of θ = 10° at 13.5 km/hr when the brake is applied. Determine how far the racer will travel down the slope until it stops. Model the wheels as uniform thin discs. #### Diagram Explanation: The diagram illustrates the cart with two large wheels on a slope inclined at an angle (θ) of 10°. The cart is represented as a rectangular body connected to the two wheels. The force due to the brake is applied to the two rear wheels. ### Instructions: 1. Model the wheels as uniform thin discs for calculations. 2. Use the provided dimensions and values to determine the distance traveled by the cart before it comes to a stop.
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