A 8 kg mass slides to the right on a surface having a coefficient of friction 0.24 as shown. The mass has a speed of 5 m/s when contact is made with a spring that has a spring constant 166 N/m. The mass comes to rest after the spring has been compressed a distance d. The mass is then forced toward the left by the spring and continues to move in that direction beyond the unstretched position. Finally the mass comes to rest a distance D to the left of the unstretched spring. v₁ = 0 8 kg 8 kg 5 m/s 8 kg v₂ = 0 8 kg D- 166 N/m mmmmmm d 8 kg mmmmmmm my 166 N/m mmmm μ = 0.24 Find the compressed distance d. The accel- eration of gravity is 9.8 m/s². Answer in units of m. Your response... Previous Responses X #1.3.334 PALETTE

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A 8 kg mass slides to the right on a surface
having a coefficient of friction 0.24 as shown.
The mass has a speed of 5 m/s when contact is
made with a spring that has a spring constant
166 N/m. The mass comes to rest after the
spring has been compressed a distance d. The
mass is then forced toward the left by the
spring and continues to move in that direction
beyond the unstretched position. Finally the
mass comes to rest a distance D to the left of
the unstretched spring.
v₁ = 0
8 kg
8 kg
5 m/s
8 kg m
v₂ = 0
166 N/m
mmmmmmmm გ
D-
8 kg
kg mmmmmm
vf.
8 kg m
166 N/m
mmmmmm
μ = 0.24
Find the compressed distance d. The accel-
eration of gravity is 9.8 m/s².
Answer in units of m.
Your response...
i
Previous Responses
X #1.3.334
PALETTE
Transcribed Image Text:A 8 kg mass slides to the right on a surface having a coefficient of friction 0.24 as shown. The mass has a speed of 5 m/s when contact is made with a spring that has a spring constant 166 N/m. The mass comes to rest after the spring has been compressed a distance d. The mass is then forced toward the left by the spring and continues to move in that direction beyond the unstretched position. Finally the mass comes to rest a distance D to the left of the unstretched spring. v₁ = 0 8 kg 8 kg 5 m/s 8 kg m v₂ = 0 166 N/m mmmmmmmm გ D- 8 kg kg mmmmmm vf. 8 kg m 166 N/m mmmmmm μ = 0.24 Find the compressed distance d. The accel- eration of gravity is 9.8 m/s². Answer in units of m. Your response... i Previous Responses X #1.3.334 PALETTE
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Introduction

Compressed distance in a spring:- Compressed distance in a spring is the amount of space a spring is compressed when a certain force is applied to it. The amount of force required to compress a spring is directly proportional to the amount of distance it is compressed.

Given data:-

Mass m= 8 kg.

Coefficient of friction μ= 0.24.

Velocity V= 5 m/s

Spring constant K= 166 N/m.

Find out:-

Find the compressed distance d.

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