A robotic winch lifts a geological sample core vertically up to the deck of an oceanographic research vessel.
The increase in the gravitational potential energy of the sample core is 1470 J.
The mass of the sample core is 12.5 kg.
Calculate the vertical height the sample core is raised.
(gravitational field strength, g=9.8 N/kgg = 9.8\text{ N/kg}g=9.8 N/kg)
Use the equation:
change in gravitational potential energy=mass×gravitational field strength×change in vertical height \text{change in gravitational potential energy} = \text{mass} \times \text{gravitational field strength} \times \text{change in vertical height} change in gravitational potential energy=mass×gravitational field strength×change in vertical height