Question

The builders of the pyramids used a long ramp to lift 21000-kg (21.0-ton) blocks. If a block rose 0.930 m in height while traveling 18.0 m along the ramp’s surface, how much uphill force was needed to push it up the ramp at constant velocity? Use g=9.81 m/s².

Answer 1

Given information :-

The builders of pyramid used a long ramp to lift m= 21000 kg block to upto some distance(d) at certain height (h) as shown in figure below

Mass of a block (m) = 21000 kg

Travelled distance along ramp surface (d) = 18 m

Block rose to certain height (h) =0.93 m

(given g = 9.81 m/s²)

Formulae :-

Only Uphill force(F) required to push along ramp surface is

F = mg*sin

{ Here sin= Opposite (h)/hypotenuse(d) }

{ Sin = 0.93/18 }

Substitute all values in above formula

F = 21000*9.81*(0.93/18)

F = 10643.85 N

Hence the uphill force(F)is push along ramp surface at constant velocity is F=10643.85 N.