Which statement best explains why running on a track with constant speed at 3m/s is not work but climbing a mountain at 1m/s is work? 1. At constant speed, change in the kinetic energy is zero but climbing a mountain produces change in the potential energy
2. At constant speed, change in the potential energy is zero, but climbing a mountain produces change in the kinetic energy.
3. At constant speed, change in the kinetic energy is finite, but climbing a mountain produces no change in the potential energy.
4. At constant speed, change in the potential energy is finite, but climbing a mountain produces no change in the kinetic energy.

1. At constant speed, change in the kinetic energy is zero but climbing a    mountain produces change in the potential energy

Explanation:

According to work-energy theorem, work done in moving an object from one point to another is equal to change in mechanical energy ( kinetic energy or potential energy ) of the object.

Kinetic energy is given by;

K.E = ¹/₂m(Δv)²

where;

Δv is change in speed

at constant speed, Δv = 0

Potential energy is given by;

P.E = mgΔh

where;

Δh is change in height,

there is change in height in climbing a mountain

Therefore, the best explanation in the given options is "1".

"At constant speed, change in the kinetic energy is zero but climbing a mountain produces change in the potential energy"

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.

when heated, the valance electrons increased their speed and transferred the heat from electron to electron.   i just took the test.