Question

The work done by the force can be calculated using the formula:

Work (W) = Force (F) * Distance (d)

Given that the initial speed is 4 m/s, the final speed is 6 m/s, and the mass is 10 kg, you can use the work-energy principle. The work done will be equal to the change in kinetic energy.

W = 0.5 * mass * (final velocity^2 - initial velocity^2)
W = 0.5 * 10 kg * (6 m/s)^2 - (4 m/s)^2)

Calculate the result to find the work done in joules.

Answer 1

Calculating using the work-energy theorem, the work done on a 10 kg mass given a speed change from 4 m/s to 6 m/s is 100 Joules.

Step-by-step explanation:

The work done on an object can be calculated using the work-energy theorem, which states that the net work done on a system equals the change in kinetic energy. For a mass of 10 kg with an increase in speed from 4 m/s to 6 m/s, this change in kinetic energy can be computed using the given formula:

W = 0.5 × mass × (final velocity² - initial velocity²)

Plugging in the values, we get:

W = 0.5 × 10 kg × ((6 m/s)² - (4 m/s)²)

W = 0.5 × 10 kg × (36 m²/s² - 16 m²/s²)

W = 0.5 × 10 kg × 20 m²/s²

W = 5 kg × 20 m²/s²

W = 100 kg·m²/s²

W = 100 Joules

Hence, the work done by the force, in SI units which are measured in Joules (J), is 100 J.