Understanding the Concepts

* Work: Work is done when a force causes an object to move a certain distance. It's calculated as:

* Work (W) = Force (F) × Distance (d)

* Force: In this case, the force needed to move the block is equal to its weight (force due to gravity).

* Force (F) = Mass (m) × Acceleration due to gravity (g)

Calculations

1. Calculate the force:

* F = m × g

* F = 2 kg × 9.8 m/s²

* F = 19.6 N (Newtons)

2. Calculate the work done:

* W = F × d

* W = 19.6 N × 5 m

* W = 98 Joules (J)

Answer: The work done by the person in moving the block 5 meters on a frictionless floor is 98 Joules.