A 10.0-kg microwave oven is pushed 8.00 m up the sloping surface of a loading ramp inclined at an angle of above the horizontal, by a constant force \vec{F} F with a magnitude 110 N and acting parallel to the ramp. The coefficient of kinetic friction between the oven and the ramp is 0.250. (a) What is the work done on the oven by the force ? (b) What is the work done on the oven by the friction force? (c) Compute the increase in potential energy for the oven. (d) Use your answers to parts (a), (b), and (c) to calculate the increase in the oven’s kinetic energy. (e) Use \Sigma \vec{\boldsymbol{F}}=m \vec{\boldsymbol{a}}Σ F =m a to calculate the acceleration of the oven. Assuming that the oven is initially at rest, use the acceleration to calculate the oven’s speed after traveling 8.00 m. From this, compute the increase in the oven’s kinetic energy, and compare it to the answer you got in part (d)

Respuesta :

(a) Work done on the oven = 110J

(b) Work done by the friction force =250J

(c) Increase in PE =1000J

(d) Increase in KE = 640J

(e) Acceleration of the oven =14.9 m/s² And KE =74.5J

Given

g = 10

mass = 10kg

distance = 8 m

Magnitude of force = 110 N

Kinetic friction = 0.250 N

A

The work done on the oven by the force is given by

W = F.d

W = 110*14cos(0)

It is a Horizontal component

W = 110 J

B

Now to calculate the work done by the friction force

Frictional force = μ * N

Frictional force = 0.25*10*10

Frictional force = 25 N

Frictional work = frictional force . d

work(f) = 25 * 10cos(0)

Work(f) = 250 J

C

Increase in the Potential  energy

PE = mgh

PE = 10*10*10cos(0)

PE = 1000 J

D

The increase in the oven's kinetic energy

PE₁ = KE₁ + W = PE₂ + KE₂

110 - 260 - 1000 = KE₂

KE₂ = 640J

E

The acceleration of the oven

Force - frictional force = ma

a = 110 -250/10 = 14 m/s²

Now to calculate KE we should know the velocity

V(f)² = v(i)² + 2ad

v(f)² = 2(14)(8) = 224

v(f) = 14.9 m/s

Now KE will be given as

(1/2)mv²

KE = (1/2)(10)(14.9)

KE  = 74.5 J

Therefore, we got to know the work done, PE and KE just by the force applied.

To know more about the force, refer: https://brainly.com/question/13606948

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