A 40.0° 1.50 m B 1.00 m C k = 900 N/m mm hh

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A 2.50 kg block starts from rest at point A at the top of a 1.50 m long frictionless ramp angled at 40 degrees above the horizontal. The block slides down the ramp and enters a rough horizontal surface between point B and point C with a coefficient of kinetic friction of 0.30. The block travels a distance of 1.00 m on the horizontal surface before running into a light spring with a spring constant of 900 N/m. 

What is the total energy at point A? What about at point B? 

What is the speed of the block at point B?

What is the total work done on the block as it slides across the rough horizontal surface? 

Using the work-energy theorem, find the speed of the block at point C right before hitting the spring. 

How far will the block compress the spring before coming to rest?

A
V
✓ ab x₂ x² A✓ ✓ A
V
40.0⁰
1.50 m
B
1.00 m
C
↓
V
= ==
H
V
k = 900 N/m
2
lih
X =
Transcribed Image Text:A V ✓ ab x₂ x² A✓ ✓ A V 40.0⁰ 1.50 m B 1.00 m C ↓ V = == H V k = 900 N/m 2 lih X =
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Follow-up Question

How far will the block compress the spring before coming to rest? 

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Follow-up Question

Using the work energy theorem, find the speed of the block at point C right before hitting the spring. 

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