The coefficient of friction of an inclined plane is 1/root 3 . if it is inclined at angle 30 degree with the horizontol , what will be the downward acceleration of the block placed on the inclined plane

0 m/s²

Explanation:

Draw a free body diagram (see attached).

Sum of the forces normal to the incline:

∑F = ma

N − mg cos θ = 0

N = mg cos θ

Sum of the forces parallel to the incline:

∑F = ma

mg sin θ − f = ma

mg sin θ − Nμ = ma

Substituting:

mg sin θ − (mg cos θ) μ = ma

g sin θ − g μ cos θ = a

a = g (sin θ − μ cos θ)

Given that g = 9.8 m/s², θ = 30°, and μ = 1/√3:

a = (9.8 m/s²) (sin 30° − 1/√3 cos 30°)

a = (9.8 m/s²) (1/2 − 1/2)

a = 0 m/s²

The acceleration down the incline is 0 m/s².

f=ma newton

f=100x2.5=250n

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