Question
A car with a mass of 1100kg can accelerate on a level road from rest to 2m/s in 14sec.what is the steepest slope this car can climb.(hint:the plane is smooth.)
Answers
Scott
the acceleration is
... 2 m/s / 14 s = .14 m/s²
as the car goes up a slope, the gravitational acceleration on the car is proportional to the sine of the angle of the slope
sin(Θ) = .14 m/s² / 9.8 m/s² = .014
Θ = 0.8º
... 2 m/s / 14 s = .14 m/s²
as the car goes up a slope, the gravitational acceleration on the car is proportional to the sine of the angle of the slope
sin(Θ) = .14 m/s² / 9.8 m/s² = .014
Θ = 0.8º