Problem: A 2.1 kg block slides along a horizontal surface with a coefficient of kinetic friction exttip{mu _{ m k}}{mu_k} = 0.31. The block has a speed exttip{v}{v} = 1.4 m/s when it strikes a massless spring head-on.If the spring has force constant exttip{k}{k} = 120 N/m , how far is the spring compressed?What minimum value of the coefficient of static friction, S, will assure that the spring remains compressed at the maximum compressed position?If S is less than this, what is the speed of the block when it detaches from the decompressing spring? [Hint: Detachment occurs when the spring reaches its natural length (x = 0).]Explain why the detachment occurs when the spring reaches its natural length (x = 0).

⚠️Our tutors found the solution shown to be helpful for the problem you're searching for. We don't have the exact solution yet.

FREE Expert Solution
Problem Details

A 2.1 kg block slides along a horizontal surface with a coefficient of kinetic friction = 0.31. The block has a speed = 1.4 m/s when it strikes a massless spring head-on.

If the spring has force constant = 120 N/m , how far is the spring compressed?

What minimum value of the coefficient of static friction, S, will assure that the spring remains compressed at the maximum compressed position?

If S is less than this, what is the speed of the block when it detaches from the decompressing spring? [Hint: Detachment occurs when the spring reaches its natural length (x = 0).]

Explain why the detachment occurs when the spring reaches its natural length (x = 0).

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Springs & Elastic Potential Energy concept. You can view video lessons to learn Springs & Elastic Potential Energy. Or if you need more Springs & Elastic Potential Energy practice, you can also practice Springs & Elastic Potential Energy practice problems.