At the instant illustrated assigned as point A, a 3 kg box is pushed against spring A so it can travel along the floor and reach spring B. Spring A's undeformed length is 0.7 m. Spring B is initially undeformed. The spring constant of spring A is 600 N/m and spring B is 800 N/m. The package is released from rest. Assume that the package maintains contact with the floor at all times. The coefficient of sliding friction is 0.4 across the whole floor. Point B is the instant wherein the package touches the end of undeformed spring B. Point C is the instant the package temporarily stops as it reaches the other end of the deformed spring B. 1. What's the work done by friction from point A to B? 2. What's the sum of the work done by gravity and spring from point A to B? 3. What's the velocity of the box at the instant it touches the end of undeformed spring B? 4. What's the maximum deformation of spring B as the box reaches point C?
At the instant illustrated assigned as point A, a 3 kg box is pushed against spring A so it can travel along the floor and reach spring B. Spring A's undeformed length is 0.7 m. Spring B is initially undeformed. The spring constant of spring A is 600 N/m and spring B is 800 N/m. The package is released from rest. Assume that the package maintains contact with the floor at all times. The coefficient of sliding friction is 0.4 across the whole floor. Point B is the instant wherein the package touches the end of undeformed spring B. Point C is the instant the package temporarily stops as it reaches the other end of the deformed spring B.
1. What's the work done by friction from point A to B?
2. What's the sum of the work done by gravity and spring from point A to B?
3. What's the velocity of the box at the instant it touches the end of undeformed spring B?
4. What's the maximum deformation of spring B as the box reaches point C?
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What's the maximum deformation of spring B as the box reaches point C?
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