contestada

A student pulls on a 20kg box with a force of 50 N at an angle 45 degrees relative to the horizontal. The box increases speed at a rate of 1.5 m/s2. What is the approximate normal forc on the box

Respuesta :

Answer:160.65 N

Explanation:

Let [tex]F[/tex] be the force exerted by the student.

Let [tex]F_{v}[/tex] be the vertical component of force.

Let [tex]\alpha[/tex] be the angle between horizontal and direction of application of force.

Given,

[tex]F=50N\\\alpha =45^{0}[/tex]

[tex]F_{h}=Fcos\alpha =50\times cos45=35.35N\\[/tex]

Let [tex]w[/tex] be the weight of the object.

Given mass of box=[tex]m=20Kg[/tex]

[tex]w=mg=20\times 9.8=196N[/tex]

Let [tex]N[/tex] be the normal force.

Since the vertical force from student is in opposite direction of that of weight of box,

[tex]N=mg-F_{v}[/tex]

[tex]N=196-35.35\\N=160.65Newtons[/tex]