Car on Ramp ! answer all parts show me work and units A 2,372-kg car is moving d
ID: 1467093 • Letter: C
Question
Car on Ramp ! answer all parts show me work and units
A 2,372-kg car is moving down a road with a slope (grade) of 10% at a constant speed of 16 m/s. What is the direction and magnitude of the frictional force? A 2,319-kg car is moving down a road with a slope (grade) of 11% while slowing down at a rate of 3.8 m/s^2. What is the direction and magnitude of the frictional force? A 1,729-kg car is moving down a road with a slope (grade) of 23% while speeding up at a rate of 1.9 m/s^2. What is the direction and magnitude of the frictional force? A 1.771-kg car is moving down a road with a slope (grade) of 11% while speeding up at a rate of 3.1 m/s^2. What is the direction and magnitude of the frictional force?Explanation / Answer
1)
slope angle @ = tan^-1(0.10) = 5.71 deg
so mgsin5.71 + f = 0
f = - (2372 x 9.81 x sin5.71 ) = - 2315.38 N
magnitude = 2315.38 N upwards
2) @ = tan^-1(0.11) = 6.28 deg
mgsin6.28 + f = ma
(2319 x 9.81 x sin6.28) + f = (2319 x -3.8)
f = -11300.69 N
upwrads
c)
@ = tan^-1(0.23) = 12.95 deg
mgsin12.95 + f = ma
(1729 x 9.81 x sin12.95) + f = (1729 x 1.9)
f = - 515.98 N
upward
D)
@ = tan^-1(0.11) = 6.28 deg
mgsin6.28 + f = ma
(1771 x 9.81 x sin6.28) + f = (1771 x 3.1)
f = 3589.66 N
donwards