.ill Sprint 18:44 * 44% usq45tx.theexpertta.com (I7%, Proble-4: Ablack of mass _

Question

.ill Sprint 18:44 * 44% usq45tx.theexpertta.com (I7%, Proble-4: Ablack of mass _ is nn.ny atrest.the peskofann!ned plane, which has a height ors mand makesanarpleef.. 2r w pect to the boriaontal. Ae it has boen released, you notioe it to be movinga listance d after the eed ef he iclised plane as sheas The eetfiien ofLisetis riion betwem the blok and the plane is-1 and the weefficient of frition on the horinostal sarface is-0.2 initial Final 50% Part (a) What is the speed of the block, in meters per second, just after it leaves the inelined plane? 50% Part (b) Find the distance,d, in meters. 0 Degrees Rala All comtent 2017 Expen TA. LLC

Explanation / Answer

here,

height , h = 5.1 m

theta = 28 degree

v = 0.15 m/s

A)

let the speed of block when it leaves the incline be v0

work done by frictional force = change in total energy

up * m * g * cos(theta) * (h/sin(theta)) = m * g * h - 0.5 * m * v0^2

0.1 * 9.8 * cos(28) * (5.1/sin(28)) = 9.8 * 5.1 - 0.5 * v0^2

solving for v0

v0 = 9.0 m/s

the speed of block when it leaves the incline is 9.0 m/s

B)

accelration , a = - ur * g

a = - 1.96 m/s^2

using third equation of motion

v^2 - v0^2 = 2 * a * d

0.15^2 - 9.0^2 = - 2 * 1.96 * d

d = 20.65 m

the distance d is 20.65 m

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