Final answer:
The magnitude of the acceleration of the block is 4.9 m/s^2.
Step-by-step explanation:
To solve numerically for the magnitude of acceleration of the block, we need to use the equation for acceleration in a ramp:
a = g * sin(θ)
Given that θ = 30°, we can substitute the value into the equation:
a = 9.8 m/s2 * sin(30°)
a = 9.8 m/s2 * 0.5
a = 4.9 m/s2
Therefore, the magnitude of the acceleration of the block is 4.9 m/s2.