An object with a mass of $9 k g$ $9 kg$ is on a plane with an incline of $- \frac{π}{4}$ $- pi/4$ . If it takes $24 N$ $24 N$ to start pushing the object down the plane and $9 N$ $9 N$ to keep pushing it, what are the coefficients of static and kinetic friction?

Question

An object with a mass of $9 k g$ $9 kg$ is on a plane with an incline of $- \frac{π}{4}$ $- pi/4$ . If it takes $24 N$ $24 N$ to start pushing the object down the plane and $9 N$ $9 N$ to keep pushing it, what are the coefficients of static and kinetic friction?

1 Answer

Impact of this question

1408 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-11T00:35:55

Static friction coefficient=1.4

Kinetic friction coefficient=0.144

Explanation:

m=9kg; $θ$ $theta$ =45°;g= $9.8 m s^{- 1}$ $9.8ms^-1$
In 1st case,
$μ$ $mu$ mg $cos θ$ $costheta$ =24+mg $sin θ$ $sintheta$
$\Rightarrow \frac{μ - 1}{\sqrt{2}} = \frac{24 \times \sqrt{2}}{9 \times 9.8}$ $=>(mu-1)/sqrt2=(24×sqrt2)/(9×9.8)$
$\Rightarrow μ = 1.4$ $=>mu=1.4$
In 2nd case,
$μ$ $mu$ mg $cos θ$ $costheta$ =9
$\Rightarrow μ = \frac{9 \times \sqrt{2}}{9 \times 9.8}$ $=>mu=(9×sqrt2)/(9×9.8)$
$\Rightarrow μ = 0.144$ $=>mu=0.144$

Science

Math

Humanities

... and beyond

An object with a mass of $9 k g$ $9 kg$ is on a plane with an incline of $- \frac{π}{4}$ $- pi/4$ . If it takes $24 N$ $24 N$ to start pushing the object down the plane and $9 N$ $9 N$ to keep pushing it, what are the coefficients of static and kinetic friction?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

An object with a mass of 9kg9 kg is on a plane with an incline of −π4 - pi/4 . If it takes 24N24 N to start pushing the object down the plane and 9N9 N to keep pushing it, what are the coefficients of static and kinetic friction?

1 Answer

Explanation:

Related questions

Impact of this question

An object with a mass of $9 k g$ $9 kg$ is on a plane with an incline of $- \frac{π}{4}$ $- pi/4$ . If it takes $24 N$ $24 N$ to start pushing the object down the plane and $9 N$ $9 N$ to keep pushing it, what are the coefficients of static and kinetic friction?