Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

As part of your daily workout, you lie on your back and push with your feet agai

ID: 2140118 • Letter: A

Question

As part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff springs arranged side by side so that they are parallel to each other. When you push the platform, you compress the springs. You do 65.0 J of work when you compress the springs 0.400 m from their uncompressed length.

As part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff springs arranged side by side so that they are parallel to each other. When you push the platform, you compress the springs. You do 65.0 J of work when you compress the springs 0.400 m from their uncompressed length. What magnitude of force must you apply to hold the platform in this position? How much additional work must you do to move the platform 0.400 m farther, and what maximum force must you apply?

Explanation / Answer

Force applied = K x


energy stored = 0.5 K x^2


force = 325 N


extra energy = 0.5 K (4x^2 - x^2) = 195 J