1) A massless spring with force constant 589 N/m is fastened at its left end to a vertical wall, as shown below. The acceleration of gravity is 9.8 m/s ^2 Initially, the 6 kg block and 2 kg block rest on a horizontal surface with the 6 kg block in contact with the spring (but not compressing it) and with the 2 kg block in contact with the 6 kg block. The 6 kg block is then moved to the left, compressing the spring a distance of 0.3 m, and held in place while the 2 kg block remains at rest as shown below. Determine the elastic energy U stored in the compressed spring. Answer in units of J.
2) The 6 kg block is then released and accelerates to the right, toward the 2 kg block. The surface is rough and the coefficient of friction between each block and the surface is 0.3 . The two blocks collide, stick together, and move to the right. Remember that the spring is not attached to the 6 kg block. Find the speed of the 6 kg block just before it collides with the 2 kg block. Answer in units of m/s.
3) Find the final speed of both blocks (stuck together) just after they collide. Answer in units of m/s.
4) Find the horizontal distance the blocks move before coming to rest. Answer in units of m.
1) A massless spring with force constant 589 N/m is fastened at its left end to...
012 (part 1 of 4) 10.0 points A massless spring with force
constant 277 N/m is fastened at its left end to a vertical wall, as
shown below. The acceleration of gravity is 9.8 m/s 2 . Initially,
the 8 kg block and 3 kg block rest on a horizontal surface with the
8 kg block in contact with the spring (but not compressing it) and
with the 3 kg block in contact with the 8 kg block. The 8...
012 (part 1 of 4) 10.0 points A
massless spring with force constant 277 N/m is fastened at its left
end to a vertical wall, as shown below. The acceleration of gravity
is 9.8 m/s 2 . Initially, the 8 kg block and 3 kg block rest on a
horizontal surface with the 8 kg block in contact with the spring
(but not compressing it) and with the 3 kg block in contact with
the 8 kg block. The 8...
6. Consider a horizontal spring with spring constant k. A block with mass m is pushed far to the left against the spring until the spring is compressed a distance r relative to its relaxed length. A second block, which is stationary and also has a mass m, is located to the right of the spring im rrm a) We release the first block from rest. Due to the force from the spring, it slides to the right and eventually...
A light spring with force constant 35 N/m is compressed by 8.0 cm as it is held between a 0.25 kg block on the left and a 0.50 kg block on the right. Both blocks and the spring are resting on a horizontal surface. When the blocks are simultaneously released from rest, find the acceleration with which each block starts to move given that p 0.1 between the blocks and the surface.
A light spring with force constant 3.85 N/m is compressed by 8.0 cm as it is held between a 0.25 kg block on the left and a 0.50 kg block on the right. Both blocks and the spring are resting on a horizontal surface. When the blocks are simultaneously released from rest, find the acceleration with which each block starts to move given that uk 0.1 between the blocks and the surface.
6. Consider a horizontal spring with spring constant k. A block with mass m is pushed far to the left against the spring until the spring is compressed a distance r relative to its relaxed length. A second block, which is stationary and also has a mass m, is located to the right of the spring im rrm a) We release the first block from rest. Due to the force from the spring, it slides to the right and eventually...
A light spring of force constant 3.90 N/m is compressed by 8.00 cm and held between a 0.250 kg block on the left and a 0.520 kg block on the right. Both blocks are at rest on a horizontal surface. The blocks are released simultaneously so that the spring tends to push them apart. Find the maximum velocity each block attains if the coefficient of kinetic friction between each block and the surface is the following. In each case, assume...
A light spring of force constant 4.15 N/m is compressed by 8.00 cm and held between a 0.250 kg block on the left and a 0.530 kg block on the right. Both blocks are at rest on a horizontal surface. The blocks are released simultaneously so that the spring tends to push them apart. Find the maximum velocity each block attains if the coefficient of kinetic friction between each block and the surface is the following. In each case, assume...
Block A in (Figure 1) has mass 1.00 kg, and block
B has mass 3.00 kg. The blocks are forced together,
compressing a spring S between them; then the system is
released from rest on a level, frictionless surface. The spring,
which has negligible mass, is not fastened to either block and
drops to the surface after it has expanded. The spring has force
constant 711 N/m and is initially compressed 0.225 m from its
original length.
a.What is the...
A 0.66 kg block attached to a spring with force constant 150 N/m
is free to move on a frictionless, horizontal surface as in the
figure below. The block is released from rest after the spring is
stretched 0.13 m.
(a) At that instant, find the force on the block.
N?
(b) At that instant, find its acceleration.
m/s^2?