The spring shown in the figure is compressed 60 cm and used to launch a 100 kg p

Question

The spring shown in the figure is compressed 60 cm and used to launch a 100 kg physics student. The track is frictionless until it starts up the incline. The student's coefficient of kinetic friction on the 30 incline is 0.10 . (Figure 1)

1. How far up the incline does the student go?

2. What is the student's speed just after losing contact with the spring?

Problem 11.57 The spring shown in the figure is compressed 60 cm and used to launch a 100 kg physics student. The track is frictionless until it starts up the incline. The student's coefficient of kinetic friction on the 30 incline is 0.10 Figure 1 of 1 80,000 N/m 100 k 10 m 30 Part A What uden eed after los contact with the sprin Express your answer to two significant figures and include the appropriate units. a Value Units l Submit My Answers Give Up Part B How far up the incline does the student go? Express your answer to two significant figures and include the appropriate units. A As Value Units

Explanation / Answer

a.)

Pe energy stored by spring = kinetic energy of boy

0.5 kx^2 = 0.5mv^2

80,000*(0.6) ^2 = 100*v^2

v = 16.97 m/s

b.)total energy just before 30 degree incline

mgh+05mv^2 = E

E = 100*9.81*10+0.5*100*16.97^2

E = 24209.045 J

now,

work done = change in E

24209.045 = (mgSin30 + umgCos30) d

d = 42.06 m

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