# What is the speed of the object after the grass (round this answer to two significant figures)?

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✅Question :

What is the speed of the object after the grass (round this answer to two significant figures)?

To find the speed of the object after moving across the grass, we need to consider the conservation of mechanical energy, taking into account the work done by friction.

The initial kinetic energy of the object (after it moved up the hill) is equal to the work done against friction plus its final kinetic energy.

The initial kinetic energy is given by:

KEinitial​=21​mvinitial2​

The work done by friction is:

Wfriction​=−Ffriction​⋅d

where Ffriction​ is the force of friction and d is the displacement across the grass.

The final kinetic energy is given by:

KEfinal​=21​mvfinal2​

According to the principle of conservation of mechanical energy, we can write:

KEinitial​−Wfriction​=KEfinal

Solving for vfinal​​:

vfinal​=m2⋅(KEinitial​−Wfriction​)​​

Given that KEinitial​ is the kinetic energy at the top of the hill, and Wfriction​ is the work done by friction across the grass, we can plug in the values and calculate vfinal​.

Keep in mind that the work done by friction (Wfriction​) is negative due to its direction opposing the motion, and the kinetic energy will be converted into thermal energy (heat) during this process.

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If you provide the mass of the object, the initial velocity, and the distance across the grass, I can help you calculate the final speed after moving across the grass.

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