As shown in the figure, a 1.5-kg box is held at rest against a spring with a for

Question

As shown in the figure, a 1.5-kg box is held at rest against a spring with a force constant k = 755 N/m that is compressed a distance d. When the box is released, it slides across a surface that is frictionless, except for a rough patch that has a coefficient of kinetic friction ?k = 0.40 and is 6.0 cm in length. If the speed of the box is 2.9 m/s after sliding across the rough patch, determine the initial compression d of the spring.
____ cm

As shown in the figure, a 1.5-kg box is held at rest against a spring with a force constant k = 755 N/m that is compressed a distance d. When the box is released, it slides across a surface that is frictionless, except for a rough patch that has a coefficient of kinetic friction ?k = 0.40 and is 6.0 cm in length. If the speed of the box is 2.9 m/s after sliding across the rough patch, determine the initial compression d of the spring. ____ cm

Explanation / Answer

spring formulas can beused

F=-kx

we can find the force transfer to the spring box

we can find teh remaing force of the free box

we know the velocity

loss of force due to friction= -uf

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