Question

In: Physics

You have constructed a 5-kg toy iceboat which you set on a frictionless frozen pond when...

You have constructed a 5-kg toy iceboat which you set on a frictionless frozen pond when a sudden wind exerts a constant force on the boat of 100 N due west. Due to how you have set the sails, the wind causes the boat to slide 10.0 m in a straight line at 30◦ north of west. What is the speed of the boat at the end of those 10.0 m?

Solutions

Expert Solution

Answer:- Speed of the boat = 18.6 m/s

Explanation:-

Given:

Mass of the iceboat :
Force on the boat (west direction) :
Distance covered by the iceboat :
Angle making with west direction :

Work done on the boat by the wind force is given by,

Where, is the angle between force and displacement of the boat.

This is the work done on the boat.

According to kinetic energy and work energy theorem, the net work done is equals to change in kinetic energy of the boat.

Where, and are the initial and final velocities of the boat respectively.

The boat is initially at rest and hence,

Therefore,

This is the speed of the iceboat at the end of those 10.0 m.

genius_generous answered 1 year ago

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