A 2.0 kg block is placed against a spring on a frictionless 30 degrees incline (from the horizontal). The spring, whose spring constant is 1960 N/m, is compressed 20 cm and then released. How far along the incline does it send the block?

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A 2.0 kg block is placed against a spring on a frictionless 30 degrees incline (from the horizontal). The spring, whose spring constant is 1960 N/m, is compressed 20 cm and then released. How far along the incline does it send the block? (Ans.= 4m)
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Problem: A 2.0 kg block is placed against a spring on a frictionless 30 incline (from the
horizontal). The spring, whose spring constant is 1960 N/m, is compressed 20 cm and then
released. How far along the incline does it send the block? (ANS. = 4 m)
(A) Pictorial
Representation
(B) Physical
Representation
(C) Math
Representation
and Solution
M
Transcribed Image Text:PHYS2425.S02A.ERichards X ckboardcdn.com/5d4c11057ee7b/2177806?X-Blackboard-Expiration=1614308400000&X-Blackboard-Signature=WqB.. 3 /5 | - 118% Problem: A 2.0 kg block is placed against a spring on a frictionless 30 incline (from the horizontal). The spring, whose spring constant is 1960 N/m, is compressed 20 cm and then released. How far along the incline does it send the block? (ANS. = 4 m) (A) Pictorial Representation (B) Physical Representation (C) Math Representation and Solution M
Expert Solution
Step 1

Given that,A 2.0 kg block, m=2.0 kg30 degrees incline (from the horizontal)spring constant is k=1960 N/mcompressed 20 cm and then released, x=20 cmWe know that, the elastic potential energy of the compressed spring is,U=12kx2 =12×1960 N/m×20 cm×1.0m100 cm2=39.2 J

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