A 20-kg wagon accelerates on a horizontal surface at 0.50 m⁄s2 when pulled by a rope exerting a 120-N force on the wagon at an a

Question

3 years ago

5

A 20-kg wagon accelerates on a horizontal surface at 0.50 m⁄s2 when pulled by a rope exerting a 120-N force on the wagon at an a

ngle of 25° above the horizontal. Determine the magnitude of the effective friction force exerted on the wagon and the effective coefficient of friction associated with this force.

Physics

1 answer:

inn [45] · Answer 1 · 2022-02-16T18:27:04+03:00

inn [45]3 years ago

5 0

Answer:

Explanation:

given,

mass of wagon = 20 Kg

horizontal acceleration = 0.5 m/s²

force of pull = 120 N

angle with horizontal = 25°

Applying newtons second law

F cos θ - f = m a

f = F cos θ- ma

f = 120 cos 25° - 20 x 0.5

f = 99 N

we know,

f = μ N

μ = $\dfrac{f}{N}$

μ = $\dfrac{99}{mg - Fsin \theta}$

μ = $\dfrac{99}{20\times 9.8 - 120 sin 25^0}$

μ = 0.68