Final answer:
The acceleration of the soap sliding down the ramp can be calculated using the formula a = g sin θ. Given the angle of incline and acceleration due to gravity, we can find the acceleration of the soap.
Step-by-step explanation:
The acceleration of the soap sliding down the ramp can be calculated using the formula a = g sin Θ. In this formula, a represents the acceleration, g represents the acceleration due to gravity, and Θ represents the angle of the incline.
Given that the ramp is inclined at 8.0° and the acceleration due to gravity is 9.8 m/s², we can substitute these values into the formula: a = (9.8 m/s²) * sin(8.0°). Calculate the value to find the acceleration of the soap.
Substituting the values: a = (9.8 m/s²) * sin(8.0°) ≈ 0.98 m/s².