A boy is pushing his sled up a snowy slope. The sled has a mass of 20.4 kg and weighs 200 N. The boy pushes with a constant force of 75 N. The sled travels a distance of 10 m and gains 3 m in height. When the sled reaches the top, it is traveling 2 m/s. What is the efficiency of the slope?

Respuesta :

Answer: 85 percent

Explanation:

we are given

mass = 200.4 kg

weight = 200 N

force = 75 N

distance = 10 m

height = 3 m

velocity = 2 m/s

the efficiency of a sled on a slope η = output power (Po) / input power (Pi)

Po =  Increase in potential energy of the sled   +  Increase in kinetic energy of the sled

Po = mgh + (1/2)mv^2

where m = mass

g = acceleration due to gravity

h = height

v = velocity

and Pi = energy expended = force (F) x distance (d)

therefore efficiency = ( mgh + (1/2)mv^2 ) / ( F x d )

    efficiency = ( ( 20.4 x 9.8 x 3 ) + (1/2) x 20.4 x 2^2 ) / ( 75 x 10 )

 efficiency = 0.8544 = 85 percent

Answer:

C  0.85

Explanation:

the person above is right too!