Clay |k = 200 N/m{ 2 kg 0.1 kg 2. A 2 kg block is attached to an ideal spring (for which k = 200 N/m) attached to a wall, and initially at rest on a horizontal frictionless surface, as shown above. In an initial experiment, a 100 g ball of clay is thrown at the block. The clay is moving horizontally with a speed v when it hits and sticks to the block. As a result, the spring compresses a maximum distance of 0.4 meters. a. Calculate the energy stored in the spring at maximum compression. b. Calculate the speed of the clay ball and block immediately after the clay sticks to the block, but before the spring compresses significantly. c. Calculate the initial speed v of the clay.
Clay |k = 200 N/m{ 2 kg 0.1 kg 2. A 2 kg block is attached to an ideal spring (for which k = 200 N/m) attached to a wall, and initially at rest on a horizontal frictionless surface, as shown above. In an initial experiment, a 100 g ball of clay is thrown at the block. The clay is moving horizontally with a speed v when it hits and sticks to the block. As a result, the spring compresses a maximum distance of 0.4 meters. a. Calculate the energy stored in the spring at maximum compression. b. Calculate the speed of the clay ball and block immediately after the clay sticks to the block, but before the spring compresses significantly. c. Calculate the initial speed v of the clay.
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![Ball of
Clay
]k = 200 N/m[
2 kg
0.1 kg
2. A 2 kg block is attached to an ideal spring (for which k = 200 N/m) attached to a wall, and initially
at rest on a horizontal frictionless surface, as shown above.
In an initial experiment, a 100 g ball of clay is thrown at the block. The clay is moving horizontally
with a speed v when it hits and sticks to the block. As a result, the spring compresses a maximum
distance of 0.4 meters.
a. Calculate the energy stored in the spring at maximum compression.
b. Calculate the speed of the clay ball and block immediately after the clay sticks to the block, but
before the spring compresses significantly.
c. Calculate the initial speed v of the clay.
d. How must energy was "lost" in the collision?
e. Write an expression for x(t) as the spring-mass system is set into oscillatory motion. What is the
time period of oscillation?
f. Verify vmax of the spring system using the expression for v(t), derived from the previous part.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43c30f87-51c4-4462-bdc3-b7e72929cee1%2F86889c93-acef-4e25-9eee-5ffe3146919f%2Fth7fc3o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Ball of
Clay
]k = 200 N/m[
2 kg
0.1 kg
2. A 2 kg block is attached to an ideal spring (for which k = 200 N/m) attached to a wall, and initially
at rest on a horizontal frictionless surface, as shown above.
In an initial experiment, a 100 g ball of clay is thrown at the block. The clay is moving horizontally
with a speed v when it hits and sticks to the block. As a result, the spring compresses a maximum
distance of 0.4 meters.
a. Calculate the energy stored in the spring at maximum compression.
b. Calculate the speed of the clay ball and block immediately after the clay sticks to the block, but
before the spring compresses significantly.
c. Calculate the initial speed v of the clay.
d. How must energy was "lost" in the collision?
e. Write an expression for x(t) as the spring-mass system is set into oscillatory motion. What is the
time period of oscillation?
f. Verify vmax of the spring system using the expression for v(t), derived from the previous part.
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