Consider a 1700 kg car rolling downhill as shown in the diagram above. The car begins...

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Consider a 1700 kg car rolling downhill as shown in the diagram above. The car begins at a height of 80m relative to the bottom of slope. The car freely accelerates down the slope until it reaches the bottom of the slope, at which point it applies a constant breaking force of F=5 kN until it comes to a complete stop. (a) Draw the freebody diagram of the car as it rolls down the slope. (1pt) (b) If the angle of the slope is 10" from the horizon, what is the acceleration of the car as it rolls down the slope? (1pt) (c) If the diameter of the wheels on the car are d = 24 inches, what is the angular acceleration a(t) of the wheels while the car is moving down the slope? (1pt) (d) What is the angular velocity of the wheels when the car is at the bottom of the slope? (1pt) (e) Draw the FBD for the car once it makes it to the flat stretch of road. (1pt) (f) Find the new angular acceleration a2(t) once the car is moving on level ground. (Ipt) (g) How far Ax does the car get once it leaves the slope? (2pt) (h) What is the total number of revolutions the wheels on the car make from the top of the slope to coming to a stop at the end of the road? (2pts) v; = 0 h 8 Ax F v = 0 Consider a 1700 kg car rolling downhill as shown in the diagram above. The car begins at a height of 80m relative to the bottom of slope. The car freely accelerates down the slope until it reaches the bottom of the slope, at which point it applies a constant breaking force of F=5 kN until it comes to a complete stop. (a) Draw the freebody diagram of the car as it rolls down the slope. (1pt) (b) If the angle of the slope is 10" from the horizon, what is the acceleration of the car as it rolls down the slope? (1pt) (c) If the diameter of the wheels on the car are d = 24 inches, what is the angular acceleration a(t) of the wheels while the car is moving down the slope? (1pt) (d) What is the angular velocity of the wheels when the car is at the bottom of the slope? (1pt) (e) Draw the FBD for the car once it makes it to the flat stretch of road. (1pt) (f) Find the new angular acceleration a2(t) once the car is moving on level ground. (Ipt) (g) How far Ax does the car get once it leaves the slope? (2pt) (h) What is the total number of revolutions the wheels on the car make from the top of the slope to coming to a stop at the end of the road? (2pts) v; = 0 h 8 Ax F v = 0

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a Freebody diagram of the car as it rolls down the slope Weight mg pointing downwards Normal force N ... View the full answer