Final answer:
The doll has a gravitational potential energy of 14.112 Joules when held at a height of 2.4 meters, calculated using the formula mgh with the mass of the doll and the height it is held.
Step-by-step explanation:
The question asks how much gravitational potential energy a doll has when held at a certain height by a person. To calculate this, we use the formula for gravitational potential energy, which is mgh where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m/s2 on Earth), and h is the height in meters above the ground.
In this case, Mike is holding his sister's doll with a mass of 0.6 kg at a height of 2.4 m. Using the gravitational potential energy formula:
Gravitational Potential Energy (GPE) = mgh
GPE = (0.6 kg)(9.8 m/s2)(2.4 m)
GPE = 14.112 Joules
Therefore, the doll has a gravitational potential energy of 14.112 Joules when held at a height of 2.4 meters.