Respuesta :
Answer:
The kinetic energy of the sled is going to increase by 18.75%
Step-by-step explanation:
The work W realized by a Force F is given by:
[tex]W=F_x*x[/tex]
Where x is the displacement and [tex]F_x[/tex] is the component of the force that is parallel to the displacement.
Additionally, the work is equal to the change in the kinetic energy
[tex]W=K_f-K_i[/tex]
If your pulling force is in the same direction as the sled's displacement, we can said that: [tex]F=F_x[/tex]
And if increases the kinetic energy of the sled by 27%, we can said that:
[tex]K_f-K_i=0.27K_i[/tex]
So, we can formulate the following equation:
[tex]W=F*x\\W=0.27K_i\\\\F*x=0.27K_i[/tex] (1)
On the other hand, if the pulling force acted at an angle of 46° above the horizontal, the work is:
[tex]W=F_x*x=Fcos(46)*x=F*x*cos(46)[/tex] (2)
Then, replacing (1) in (2), we get:
[tex]W=F*x*cos(46)=0.27K_i*cos(46) = 0.1875K_i[/tex]
Finally, the kinetic energy increase by 18.75% because:
[tex]W=K_f-K_i\\W=0.1875K_i\\\\K_f-K_i=0.1875K_i[/tex]
