An object, previously at rest, slides $4 m$ $4 m$ down a ramp, with an incline of $\frac{π}{4}$ $pi/4$ , and then slides horizontally on the floor for another $15 m$ $15 m$ . If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?

Question

An object, previously at rest, slides $4 m$ $4 m$ down a ramp, with an incline of $\frac{π}{4}$ $pi/4$ , and then slides horizontally on the floor for another $15 m$ $15 m$ . If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?

1 Answer

Impact of this question

1217 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-06T21:18:28

$u_{k} ≅ 0, 158$ $u_k~=0,158$

Explanation:

$Total Energy of object:$ $"Total Energy of object:"$
$E_{p} = m \cdot g \cdot 4 \cdot \frac{\sqrt{2}}{2} E_{p} = m \cdot g \cdot 2 \sqrt{2}$ $E_p=m*g*4*sqrt2/2" "E_p=m*g*2sqrt2$
$Work doing by the Friction Force on Ramp$ $"Work doing by the Friction Force on Ramp"$
$W_{f} = u_{k} \cdot m \cdot g \cdot 4 \cdot \frac{\sqrt{2}}{2} W_{f} = u_{k} \cdot m \cdot g \cdot 2 \sqrt{2}$ $W_f=u_k*m*g*4*sqrt2/2" "W_f=u_k*m*g*2sqrt 2$
$Total Energy on floor$ $"Total Energy on floor"$
$Delta E=m*g*2sqrt2-u_k*m*g*2sqrt2$
$color(red)(W_f=(u_k*m*g)*15)$
$color(red)"work doing by The Friction Force on Floor"$
$Delta E=cancel(m*g)*2sqrt2-u_k*cancel(m*g)*2sqrt2=color(red)(u_k*cancel(m*g)*15$
$2sqrt2-u_k*2sqrt2=u_k*15$
$2sqrt2=15*u_k+2sqrt2*u_k$
$2,82=15*u_k+2,82*u_k$
$2,82=17,82*u_k$
$u_k=(2,82)/(17,82)$
$u_k~=0,158$

Science

Math

Humanities

... and beyond

An object, previously at rest, slides $4 m$ $4 m$ down a ramp, with an incline of $\frac{π}{4}$ $pi/4$ , and then slides horizontally on the floor for another $15 m$ $15 m$ . If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

An object, previously at rest, slides 4 m4m4 m down a ramp, with an incline of pi/4 π4pi/4 , and then slides horizontally on the floor for another 15 m15m15 m. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?

1 Answer

Explanation:

Related questions

Impact of this question

An object, previously at rest, slides $4 m$ $4 m$ down a ramp, with an incline of $\frac{π}{4}$ $pi/4$ , and then slides horizontally on the floor for another $15 m$ $15 m$ . If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?