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 = 0 166 N/m mmmmmmm D- kommy d 8 kg .vf 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.
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 = 0 166 N/m mmmmmmm D- kommy d 8 kg .vf 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.
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Find d
Expert Solution
Step 1
Law of conservation of energy:
According to this law, the total energy of a system remains constant.
Given that:
Mass
Spring constant
Initial speed
Speed when the spring is compressed
Coefficient of friction
Acceleration due to gravity
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