If the block in the picture has an acceleration of 5 m/s2, what would be the block's mass?

0.4 Kg

Explanation:

From the question given above, the following data were obtained from the question:

Acceleration (a) of block = 5 m/s²

Force in the right direction (Fᵣ) = 3 N

Force in the left direction (Fₗ) = 5 N

Mass (m) of block =...?

Next, we shall determine the net force acting on the block. This can be obtained as follow:

Force in the right direction (Fᵣ) = 3 N

Force in the left direction (Fₗ) = 5 N

Net force (Fₙ) =?

Fₙ = Fₗ – Fᵣ

Fₙ = 5 – 3

Fₙ = 2 N

Thus the net force acting on the block is 2 N to the left.

Finally, we shall determine the mass of the block as follow:

Acceleration (a) of block = 5 m/s²

Net force (Fₙ) = 2 N

Mass (m) of block =...?

Net force (Fₙ) = mass (a) × acceleration (a)

Fₙ = m × a

2 = m × 5

Divide both side by 5

m = 2/5

m = 0.4 Kg

Therefore, the mass of the block is 0.4 Kg