A 2.0 kg block slides along a horizontal surface with a coefficient of friction µk = 0.30. The block has a speed of v = 1.2 m/s when it strikes a massless spring head-on (as in Fig. 8-18).

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

(b) What minimum value of the coefficient of static friction, µs, will assure that the spring remain compressed at the maximum compressed position?

(c) If µs 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).]

(d) Explain why detachment occurs when the spring reaches its natural length.

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

(1/2)*m*v^2 = (1/2)* K *x^2

x = sqrt(m/K)*v = sqrt(2/120) * 1.2 = 0.155 m

(b) What minimum value of the coefficient of static friction, µs, will assure that the spring remain compressed at the maximum compressed position?

Spring Force = Static Frictional force for the spring to ...

Solution Summary

The solution explains, in a mixture of words and formulae, how to find values such as the minimum coefficient of static friction and speed at certain points of a block sliding along a horizontal surface as described in the question in a methodical, easy-to-follow manner.

... This problem on a block sliding down a curved wedge ... 2. Law of conservation of mechanical energy : When only ... on the system, total mechanical energy of the ...

...Conservation of energy requires that both expressions to be equal ... From conservation of momentum we obtain ... A block of mass m1 = 2.0 kg slides along a frictionless ...

... 5.0 m/s. Two seconds after it begins sliding, a horizontal ... The work done is The change of kinetic energy is. ... According to the conservation of momentum, in the y ...

Physics: Potential Energy and Energy Conservation. ... What is the speed of the block as it slides along the ... travel up the incline before starting to slide back down ...

... a. What distance will the block slide up the ramp before it ... b. What is the potential energy of the block... problem, we have to consider the conservation of energy...

... Throughout this problem we will use conservation of energy. ... final energy is equal to the total initial energy. ... we have three kinds of energies: a. Potential ...

Conservation of energy problems involving moving particles and systems. ... is zero V. the mechanical energy of the ... For a block of mass m to slide without friction ...

... C) What is the kinetic energy of the block at ...Energies and friction A bullet with a mass of 3.00 ... the bullet passes through it using the conservation of momentum ...