1. Convert Units

* Mass: 82 grams (g) needs to be converted to kilograms (kg):

82 g * (1 kg / 1000 g) = 0.082 kg

2. Formula for Kinetic Energy

The formula for kinetic energy (KE) is:

KE = (1/2) * m * v²

where:

* KE is kinetic energy (in Joules)

* m is mass (in kilograms)

* v is velocity (in meters per second)

3. Rearrange the Formula to Solve for Velocity (v)

* 2 * KE = m * v²

* (2 * KE) / m = v²

* √((2 * KE) / m) = v

4. Plug in the Values and Calculate

* v = √((2 * 7.5 J) / 0.082 kg)

* v ≈ √(182.93) m/s

* v ≈ 13.52 m/s

Therefore, the speed of the object is approximately 13.52 meters per second.