Question

A block is projected along a rough horizontal road with a speed of 10m/s.if the coefficient of kinetic friction is 0.10 how far will it travel before coming to rest

Answer 1

Information provided to us :

• A block is projected along a rough horizontal road with a speed of 10m/s.
• Coefficient of kinetic friction is 0.10.

Solving it out :

We have :

• μ = 0.10

Initial velocity (u) is of 10m/s.

Final velocity (v) is 0.

We know that ,

• a = μg

Here,

• a is acceleration
• μ is coefficient of kinetic ffriction.

Now, using 3rd equation of motion :

• v² = u² + 2as

Here,

• S is displacement
• u is initial velocity
• v is final velocity

(0)² = (10)² - 2 × (0.1 × 10) × S

0 = (10 × 10) - 2 × (0.1 × 10) × S

0 = 100 - 2 × 1 × S

0 = 100 - 2S

2S = 100

S = 100 / 2

S = 50m

Therefore,

• It will travel 50m before coming to rest.

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