Please answer. ### Force Applied to a Box on a Frictionless SurfaceA force \( \vec{F} \) that is at an angle \( 60^\circ \) above the horizontal is applied to a box that moves on a horizontal frictionless surface, and the force does work \( W \) as the box moves a distance \( d \).---#### Part A**Question:**At what angle \( \theta \) above the horizontal would the force have to be directed in order for twice the work to be done for the same displacement of the box?**Express your answer in degrees.****ANSWER:**\[ \theta = \quad \text{\Large\underline{\hspace{100px}}}^\circ \]---#### Part B**Question:**If the angle is kept at \( 60^\circ \) and the box is initially at rest, by what factor \( n \) would \( F \) have to be increased to double the final speed of the box after moving distance \( d \)? Assume that the factored force is still small enough so that the box will not leave the surface.**Express your answer as an exact number.****ANSWER:**\[ n = \quad \text{\Large\underline{\hspace{100px}}} \]---

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A force F that is at an angle 60° above the horizontal is applied to a box that moves on a horizontal frictionless surface, and the force does work W as the box moves a distance d. Part A At what angle 0 above the horizontal would the force have to be directed in order for twice the work to be done for the same displacement of the box? Express your answer in degrees. ANSWER: = Part B If the angle is kept at 60° and the box is initially at rest, by what factor n would F have to be increased to double the final speed of the box after moving distance d? Assume that factored force is still small enough so that the box will not leave the surface. Express your answer as exact number. ANSWER: n =