1. (30 pts) As shown in Figure 1, a block with mass m 3.5 kg is placed on a horizontal surface at position A, where it compresses a spring with spring constant k by a displacement Ax 1. K = Ug = mgy %3D - Delta X : 50.75 U, = =K(ax)² %3D Fr = HkN The mass is released from rest at position A, and the spring expands until the block leaves the spring at position B. There is no friction between A and B. Between positions B and C, the block travels over a flat, rough surface having a coefficient of kinetic frictlon uk and length d = 5.5 m. Wext = Fext Cos 0 Ax %3D Wext = (K – Ko) + (U – U.) D k h d. A B Figure Between positions C and D, the block climbs a curved ramp until it reaches position D, a height h = 2.0 m abovethe surface. There is no friction between C and D. a) The block's velocity when it reachies position B is YR = 9.65 m/s. Use conservation of energy between positions A and B fo calculate the value of the spring constant k in N/m) b) The block's velocity when it reaches position C is vc. VC: 6.90 Use conservation of energy between pesitions B and C to całculate the coefficient of kinetic friction Hk. c) Use conservation of energy between positions C and D to catculate the block's velocity (in m/s) when it reaches position D.
1. (30 pts) As shown in Figure 1, a block with mass m 3.5 kg is placed on a horizontal surface at position A, where it compresses a spring with spring constant k by a displacement Ax 1. K = Ug = mgy %3D - Delta X : 50.75 U, = =K(ax)² %3D Fr = HkN The mass is released from rest at position A, and the spring expands until the block leaves the spring at position B. There is no friction between A and B. Between positions B and C, the block travels over a flat, rough surface having a coefficient of kinetic frictlon uk and length d = 5.5 m. Wext = Fext Cos 0 Ax %3D Wext = (K – Ko) + (U – U.) D k h d. A B Figure Between positions C and D, the block climbs a curved ramp until it reaches position D, a height h = 2.0 m abovethe surface. There is no friction between C and D. a) The block's velocity when it reachies position B is YR = 9.65 m/s. Use conservation of energy between positions A and B fo calculate the value of the spring constant k in N/m) b) The block's velocity when it reaches position C is vc. VC: 6.90 Use conservation of energy between pesitions B and C to całculate the coefficient of kinetic friction Hk. c) Use conservation of energy between positions C and D to catculate the block's velocity (in m/s) when it reaches position D.
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Transcribed Image Text:1. (30 pts) As shown in Figure 1, a block with mass
m = 3.5 kg is placed on a horizontal surface at
position A, where it compresses a spring with
spring constant k by a displacement Ar
=mv
Ug = mgy
Delta X : 50.75
%3D
Fr = HN
The mass is released from rest at position A, and
the spring expands until the block leaves the
spring at position B. There is no friction between
A and B.
Wext = Fext Cos 0 Ax
Wext = (K – Ko) + (U – U.)
%3D
Between positions B and C, the block travels over a flat, rough surface having a
coefficient of kinetic frictlon uk and length d = 5.5 m.
-Ar
d
B
Figure
Between positions C and D, the block climbsă curved ramp until it reaches position
D, a height h = 2.0 m above the surface. There is no friction between C and D.
A)
a) The block's velocity when it, reaches position B is Kg = 9.65 m/s. Use
conservation of energy between positions A and B fo calculate the value of the
spring constant k Xin N/m)
b) The block's velocity when it reaches position C is vc.
vc: 6.90
Use conservation of energy between positions B and C to całculate the coefficient
of kinetic friction Hg.
c) Use conservation of energy between positions C and D to catculate the block's
velocity (in m/s) when it reaches position D.
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