A 6.00-kg block ofice is placed against a horizontal spring that has force const

Question

A 6.00-kg block ofice is placed against a horizontal spring that has force constantk = 210 N/m and is compressed0.038 m. The spring is released andaccelerates the block along a horizontal surface. You can ignorefriction and the mass of the spring. (a) Calculate the work done on the block by thespring during the motion of the block from its initial position towhere the spring has returned to its uncompressed length.
1 J

(b) What is the speed of the block after it leaves the spring?
2 m/s

A 6.00-kg block ofice is placed against a horizontal spring that has force constantk = 210 N/m and is compressed0.038 m. The spring is released andaccelerates the block along a horizontal surface. You can ignorefriction and the mass of the spring. (a) Calculate the work done on the block by thespring during the motion of the block from its initial position towhere the spring has returned to its uncompressed length.
1 J

(b) What is the speed of the block after it leaves the spring?
2 m/s

A 6.00-kg block ofice is placed against a horizontal spring that has force constantk = 210 N/m and is compressed0.038 m. The spring is released andaccelerates the block along a horizontal surface. You can ignorefriction and the mass of the spring. (a) Calculate the work done on the block by thespring during the motion of the block from its initial position towhere the spring has returned to its uncompressed length.
1 J

(b) What is the speed of the block after it leaves the spring?
2 m/s
(a) Calculate the work done on the block by thespring during the motion of the block from its initial position towhere the spring has returned to its uncompressed length.
1 J

(b) What is the speed of the block after it leaves the spring?
2 m/s

Explanation / Answer

(a) Calculate the work done on the block by thespring during the motion of the block from its initial position towhere the spring has returned to its uncompressed length.
W = ka2/2 = 0.1516 J

(b) What is the speed of the block after it leaves the spring?
W = mv2/2
v = 0.225 m/s

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