The builders of the pyramids used a long ramp to lift 20000-kg (20.0-ton) blocks. If a block rose 0.800 m in height while traveling 20.0 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.

Respuesta :

Answer:

force need to push  it up is 7848 N

Explanation:

given data

mass m = 20000 kg

height h = 0.800 m

length L = 20 m

to find out

how much uphill force

solution

we use here work done = potential energy

because here work is gravitational potential

so

work done = F × L

so

F × L = mgh

and

F = mgh / L

put here value

F = 20000(9.81) 0.800  /  20

F = 7848

so force need to push  it up is 7848 N

Answer:

7848 N

Explanation:

Recall: K.E = P.E = Fd

K.E = [tex]\frac{1}{2} mv^{2}[/tex]

P.E = mgh

Given parameters;

mass (m) = 20000 kg

height (h) = 0.8 m

distance (d) = 20 m

g is given as 9.81 [tex]ms^{-2}[/tex]

Force (F) = ?

Comparing the above parameters with the equations to find F,

We will use P.E = Fd

i.e. mgh = Fd

making F the subject of the formula

F = [tex]\frac{mgh}{d}[/tex]

substitute for m, g, h and d

F = [tex]\frac{20000 X 9.81 X 0.8}{20} = 7848N[/tex]