Question

O Problem A 20-kg suitcase slides from rest 5 m down the smooth ramp. a) Determine the point where it strikes the ground at C. b) How long does it take to go from A to C? Ans: R=1.53m;t AC = 1.68s 5 m 30° 1.2 m B​

Answer 1

The point where the suitcase strikes the ground is at C(4.33m, 2.5m). It takes the suitcase 1.68s to go from A to C.

Step-by-step explanation:

To determine the point where the suitcase strikes the ground at C, we can use trigonometry. The vertical distance from the top of the ramp to the point where the suitcase hits the ground is given by:

h = 5m * sin(30°) = 2.5m

The horizontal distance from the top of the ramp to the point where the suitcase hits the ground is given by:

d = 5m * cos(30°) = 4.33m

So, the point where the suitcase strikes the ground is at C(4.33m, 2.5m).

To find the time it takes for the suitcase to go from A to C, we can use the kinematic equation:

d = v0t + 0.5at^2

Since the suitcase starts from rest, v0 = 0. Substituting the known values, we get:

5m = 0.5 * a * t^2

Solving for t, we get:

t = sqrt(10m/a)

Substituting the given values, we find that t = 1.68s.