Question

A block with a mass of 3.00 kg starts from rest at the top of a 24.5∘ incline and slides 2.00 m down the incline in 1.80 s. (a) What is the magnitude of the acceleration of the block (in m/s²)?

Answer 1

The magnitude of the acceleration of the block is 1.11 m/s².

Step-by-step explanation:

To find the acceleration of the block, we can use the equations of motion. The formula to calculate acceleration is acceleration = (final velocity - initial velocity) / time. In this case, the block starts from rest, so its initial velocity is 0 m/s. The final velocity can be calculated using the equation final velocity = initial velocity + (acceleration * time). Plugging in the values given in the question, we have:

Final velocity = 0 + (acceleration * 1.8)

2.00 = (acceleration * 1.8)

acceleration = 2.00 / 1.8 = 1.11 m/s²