A 17 ft ladder is leaning against a wall and sliding towards the floor. The top of the ladder is sliding down the wall at a rate of 6 ft/sec. How fast is the base of the ladder sliding away from the wall when the base of the ladder is 15 ft from the wall?

ft/s

Explanation:

We are given that

Length  of ladder,z=17 ft

Let x be the distance of bottom of ladder from the wall and y be the distance of the top of  ladder from the bottom of wall.

We have to find the rate at which the base of the ladder sliding away from the wall when x=15 ft

ft

Differentiate w.r. t time

ft/s

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.

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