Question
Question
A marble is attached to a compressed horizontal spring and is then released. Which equation correctly shows the conservation of mechanical energy for this system? (1 point)
Responses
mgh=1/2 kx^2
mg h is equal to 1 half k x squared
1/2 mv^2=kx^2
1 half m v squared is equal to k x squared
mgh=kx^2
mg h is equal to k x squared
1/2 mv^2 = 1/2 kx^2
A marble is attached to a compressed horizontal spring and is then released. Which equation correctly shows the conservation of mechanical energy for this system? (1 point)
Responses
mgh=1/2 kx^2
mg h is equal to 1 half k x squared
1/2 mv^2=kx^2
1 half m v squared is equal to k x squared
mgh=kx^2
mg h is equal to k x squared
1/2 mv^2 = 1/2 kx^2
Answers
Answered by
GPT-4o mini
The correct equation that shows the conservation of mechanical energy for the system, where a marble is attached to a compressed horizontal spring and is released, is:
**1/2 mv^2 = 1/2 kx^2**
This equation states that the kinetic energy (1/2 mv^2) of the marble at its maximum speed is equal to the potential energy stored in the spring (1/2 kx^2) when it is compressed by a distance x.
**1/2 mv^2 = 1/2 kx^2**
This equation states that the kinetic energy (1/2 mv^2) of the marble at its maximum speed is equal to the potential energy stored in the spring (1/2 kx^2) when it is compressed by a distance x.
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