While moving in, a new homeowner is pushing a box across the floor at a constant velocity. the coefficient of kinetic friction between the box and the floor is 0.382. the pushing force is directed downward at an angle θ below the horizontal. when θ is greater than a certain value, it is not possible to move the box, no matter how large the pushing force is. find that value of θ.

θ = 69°

Explanation:

With a sum of forces on the box:

x-axis: F*cosθ - Ff = 0

y-axis: N - m*g - F*sinθ = 0    From this equation we find N:

N = m*g + F*sinθ

Knowing that Ff = μ*N:

F*cosθ - μ*(m*g + F*sinθ) = 0

F*(cosθ - μ*sinθ) = μ*m*g

(cosθ - μ*sinθ) = μ*m*g / F   As you can see here, when F is a lot greater than μ*m*g, the 2nd member of the equation is almost 0:

(cosθ - μ*sinθ) = 0

Solving for θ:

θ = atan( 1/μ ) = 69°   With any angle less than this, the box could still be moved.

co2reflects heat radiation back to earth buning coal and oil emits co2 globe warms

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force