Question

If a frictionless incline has a difference in height from one end to the other of 19.5 cm and has a length along the incline of 1.36 m, find the time it takes for a block of 1.1 kg, starting from rest, to slide down the ramp from the top to the bottom of this incline.

Answer 1

sine of slope angle = .195/1.36 = .143
angle = 8.24 degrees
cos slope angle = .99

weight = 1.1 * 9.81 = 10.8 N

component of weight down slope=10.8(.143)
= 1.54 N

a = F/m = 1.54 / 1.1 = 1.40 m/s^2

d = (1/2) a t^2
1.36 = (1/2)(1.40) t^2
t = 1.39 seconds