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Juestion 16. chap 6, sect 6. part 1 of 3 10 points A block starts at rest and sl

ID: 2039825 • Letter: J

Question

Juestion 16. chap 6, sect 6. part 1 of 3 10 points A block starts at rest and slides down a fric- tionless track (as shown in the figure below). It leaves the track horizontally, flies through the air, and subsequently strikes the ground. The acceleration of gravity is 9.81 m/s 402 g What is the speed u of the ball when it leaves the track? Answer in units of m/s Question 17, chap 6, sect 6. part 2 of 3 10 points What is the horizontal distance r the block travels in the air? Answer in units of m. Question 18, chap 6, sect 6. part 3 of 3 10 points What is the speed of the block when it hit the ground? Answer in units of m/s.

Explanation / Answer

1)

change in potential energy = increases in kinetic energy

mgh = 1/2mv^2

gh = 1/2v^2

v = sqrt(2gh)

v = sqrt(2*9.81*2.6)

v = 7.14 m/s

b)

t = sqrt(2h/g)

t = sqrt(2*2 / 9.81)

t = 0.639 sec

x = vt = 7.14 m/s x 0.639 s

x = 4.56 m

c)

1/2mv^2 + mgh = 1/2mv3^2

1/2v^2 + gh = 1/2v3^2

1/2 x 7.04^2 + 9.81*2 = 1/2v3^2

v3 = 9.42 m/s