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A 2.7-kg block is hanging stationary from the end of a vertical spring that is a

ID: 2255202 • Letter: A

Question

A 2.7-kg block is hanging stationary from the end of a vertical spring that is attached to the ceiling. The elastic potential energy of the spring/mass system is 2.0 J. What is the elastic potential energy of the system when the 2.7-kg block is replaced by a 5.5-kg block? A 2.7-kg block is hanging stationary from the end of a vertical spring that is attached to the ceiling. The elastic potential energy of the spring/mass system is 2.0 J. What is the elastic potential energy of the system when the 2.7-kg block is replaced by a 5.5-kg block?

Explanation / Answer

here we know

F=mg=kx

[read this ~ proportional to]


=> x ~ m


& P.E or W = 1/2 *kx^2 => W ~x^2


x~ m => x^2 ~m^2


W~m^2

[W( ) read P.E of]


W(2.7 kg)/W(5.5 kg)= [2.7/5.5]^2


W(5.5 kg) = W(2.7 kg) *(5.5/2.7)^2

=1.3 *(5.5/2.7)^2 =5.39 J

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