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✅Question :

The object then goes across the grass. What is the magnitude of the work that the grass/friction did? The grass’s (horizontal) length is 0.8 m, and the coefficient of kinetic friction for the grass is 0.15 (round this answer to two significant figures).

✅Answer :

To calculate the magnitude of the work done by friction as the object moves across the grass, we can use the formula for work done by friction:

*W*=−*F*⋅*d*

where:

*W*is the work done by friction*F*is the force of friction*d*is the displacement of the object

The force of friction can be calculated using the equation:

*F*=*μ*⋅*N*

where:

*μ*is the coefficient of kinetic friction*N*is the normal force

Since the object is moving horizontally on the grass, the normal force is equal in magnitude but opposite in direction to the gravitational force acting on the object. The normal force (*N*) can be calculated using the object’s weight (*mg*), where *m* is the mass of the object and *g* is the acceleration due to gravity.

Given:

- Coefficient of kinetic friction (
*μ*) = 0.15 - Grass length (
*d*) = 0.8 m

We need to calculate the normal force and then use it to calculate the work done by friction.

Step 1: Calculate the normal force (*N*):

*N*=*mg*

Step 2: Calculate the force of friction (*F*):

*F*=*μ*⋅*N*

Step 3: Calculate the work done by friction (*W*): *W*=−*F*⋅*d*

Now let’s plug in the values and perform the calculations:

Given: *μ*=0.15, *d*=0.8 m

Step 1: *N*=*mg*

Step 2: *F*=*μ*⋅*N*

Step 3: *W*=−*F*⋅*d*

The work done by friction will be a negative value since the friction force acts in the opposite direction of the displacement.

After calculating the above steps, you can find the magnitude of the work done by friction across the grass. If you provide the mass of the object, I can help you perform the calculations and provide the final answer.

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