You pull a sled across a horizontal frictionless patch of snow. if your pulling force is in the same direction as the sled's displacement and increases the kinetic energy of the sled by 27%, by what percentage would the sled's kinetic energy increase if the pulling force acted at an angle of 46° above the horizontal?

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:

Where x is the displacement and is the component of the force that is parallel to the displacement.

Additionally, the work is equal to the change in the kinetic energy

If your pulling force is in the same direction as the sled's displacement, we can said that:

And if increases the kinetic energy of the sled by 27%, we can said that:

So, we can formulate the following equation:

(1)

On the other hand, if the pulling force acted at an angle of 46° above the horizontal, the work is:

  (2)

Then, replacing (1) in (2), we get:

Finally, the kinetic energy increase by 18.75% because:

step-by-step explanation: