Question

A block of ice is sliding down a ramp with a constant acceleration of 4.9 m/s^2. What is the angle between the slope of the ramp and the horizontal? Assume the force of friction is not significant.

A. 45 Degrees
B. 60 Degrees
C. 30 Degrees
D. 20 Degrees

Answer 1

The angle between the slope of the ramp and the horizontal is approximately 26.57 degrees.

Step-by-step explanation:

To determine the angle between the slope of the ramp and the horizontal, we can use the formula:

tan(theta) = acceleration/gravity

Given that the acceleration is 4.9 m/s^2, we can substitute these values into the formula:

tan(theta) = 4.9/9.8 = 0.5

By taking the inverse tangent of both sides, we find:

theta = 26.57 degrees

Therefore, the angle between the slope of the ramp and the horizontal is approximately 26.57 degrees.