Na figura, um bloco de massa igual a 5Kg é abandonado em repouso em um plano inclinado. Supondo que os coeficientes de atrito estático e dinâmico sejam idênticos e valem µe = µd = 0,90 e sendo θ=36,8°, determine: a) a intensidade da componente P em x b) a intensidade da força Normal c) a intensidade da força de atrito d) a aceleração do bloco (justifique sua resposta)

The figure mentioned on the question is in the attachment.

a) = - 38.35N

b) = 30.5 N

c) = 27.45 N

d) a = - 13.16 m/s²

Explanation: A block on an inclined plane has 3 forces acting on it:

Since the plane is inclined, Normal Force is equal the y-component of the force due to gravity and Force of friction and the x-component of the force due to gravity are opposite forces.

The second attachment ilustrate the forces acting on the block.

Calculating:

A) The magnitude of the x-component of Force due to gravity:

According to the second image:

= P.sinθ

= 5.9.8.sin(36.8)

= - 38.35 N

B) = = m.g.cosθ

= 5.9.8.cos(36.8)

= 30.5 N

C) = 0.9.30.5

= 27.45 N

D) For the acceleration, use Newton's Law: = m . a

If there is movement, it is only on x-axis, so the net force is:

-  = m.a

- 38.35 - 27.45 = 5a

a = - 13.16 m/s²

The value of acceleration shows there is no movement on the x-axis due to the friction.

0.11 m/s and 0.28 m/s should be correct

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles