A car coasts (engine off) up a 30 grade. If the speed of the car is...

Question

Question

Answer 1

Answer #1

Initial velocity u = 27 m/s

Final velocity v = 0 m/s

No acceleration from the car so net acceleration

a = -gsin30 = -g/2

V² = u² + 2ah

0 = u²² + 2(-g/2)h

gh = u²

h = u²/g

h = 27² / 9.81 = 74.3 m

Answer 2

Similar Homework Help Questions

A 55.0 kg skier with an initial speed of 11.0 m/s coasts up a 2.50 m...

A 55.0 kg skier with an initial speed of 11.0 m/s coasts up a 2.50 m high rise as shown in the following figure. Vi = ? KE 2.5 m / 35° Find her final speed at the top (in m/s), given that the coefficient of friction between her skis and the snow is 0.0800. (Hint: Find the distance traveled up the incline assuming a straight-line path as shown in the figure.) m/s
a 107 - kg skater with an initial speed of v=55 m/s coasts up a H=13-m-high...

a 107 - kg skater with an initial speed of v=55 m/s coasts up a H=13-m-high rise as shown in the figure. The slope angle is theta=55. what is her final speed at the top? Assume the coefficient of friction between her skateboard and the ground is .185 (hint: find the distance traveled up the incline assuming a straight-line path as shown in the figure.) Use g=10 m/s^2
A 63.0–kg skier with an initial speed of 12.2 m/s coasts up a 33.0° incline to...

A 63.0–kg skier with an initial speed of 12.2 m/s coasts up a 33.0° incline to a rise of 2.64–m as shown in figure below. Find her final speed at the top, given that the coefficient of friction between her skis and the snow is 0.0760. (Hint: Find the distance traveled up the incline assuming a straight-line path as shown in the figure.) The skier’s initial kinetic energy is partially used in coasting to the top of a rise.

A 61.35-kg skier with an initial speed of vi=42.15 m/s coasts up a H=12.62-m-high rise as...

A 61.35-kg skier with an initial speed of vi=42.15 m/s coasts up a H=12.62-m-high rise as shown in the figure. The slope angle is theta=51.84. What is her final speed at the top? Assume the coefficient of friction between her skis and the snow is 0.187 (Hint: Find the distance traveled up the incline assuming a straight-line path as shown in the figure.) Use g = 10 m/s2.
A 55.0 kg skier with an initial speed of 14.0 m/s coasts up a 2.50 m high rise as shown in Figure 6.23

A 55.0 kg skier with an initial speed of 14.0 m/s coasts up a 2.50 m high rise as shown in Figure 6.23. Find his final speed at the top, given that the coefficient of friction between her skis and the snow is 0.0800. (Hint: Find the distance traveled up the incline assuming a straight-line path as shown in the figure.)
A 60.0-kg skier with an initial speed of 12.0 m/s coasts up a 2.50-m high rise...

A 60.0-kg skier with an initial speed of 12.0 m/s coasts up a 2.50-m high rise as shown. You can assume she starts exactly at the bottom of the rise, and the coefficient of friction between her skis and all surfaces is 0.80. (a) Find the work done by friction during the climb. (b) Find her final speed at the top. (c) Find the distance she travels along the top horizontal surface before she comes to rest.

A 1500 kg car begins Wing down a 5.0 inclined road with a speed of 30...

A 1500 kg car begins Wing down a 5.0 inclined road with a speed of 30 km/h. The engine is turned off. After the car has traveled 50 m along the road, its speed is 40 km/h (a) How much is the mechanical energy of the car reduced because of the net frictional force? (b) What is the magnitude of that net frictional force?
4 (2.52). The minimum stopping distance for a car traveling at a speed of 30 m/s...

4 (2.52). The minimum stopping distance for a car traveling at a speed of 30 m/s is 60 m, including the distance traveled during the driver's reaction time of 0.50 s. a) What is the deceleration of the car while braking? b) What is the minimum stopping distance for the same car traveling at a speed of 40 m/s with the same reaction time and deceleration?
A car drives up a straight incline of 4.8 km in length and .3 km in...

A car drives up a straight incline of 4.8 km in length and .3 km in height. The car moves up the incline at a steady speed of 16 m s^-1, with friction force being 500 N and total weight of car and driver being 12000 N. From the top of the incline, the road continues downwards in a straight line. At the point where the road starts to go downwards, the driver stops the engine and allows the car...

Please answer all parts A 1300 kg car coasts on a horizontal road with a speed...

Please answer all parts A 1300 kg car coasts on a horizontal road with a speed of 18 m/s. After crossing an unpaved, sandy stretch of road 38.5 m long its speed decreases to 14 m/s. (a) Was the net work done on the car positive, negative, or zero? positive zero negative Explain. This answer has not been graded yet. (b) Find the magnitude of the average net force on the car in the sandy section.