A 145-gram mass is pulled to the right of its relaxed position in the horizontal direction on the end of a spring as shown at right. When released it returns to its original position in 2.2 seconds and reaches a maximum speed of 37.5 cm/sec during its motion back and forth. The position of 0 cm is at the relaxed position of the spring and to the right is the positive direction.
1) What is the maximum potential energy stored in the spring in joules?
2)What is the magnitude of the amplitude of this spring-mass system in cm?
3) What is the magnitude of the maximum acceleration of the mass in cm/s/s?
4) What is the Kinetic Energy of the mass when it has reached a distance of half the amplitude to the right of position 0? (In joules)
5)What is the Potential Energy in the spring when the mass has reached a distance of half the amplitude to the right of position 0? (In joules)
6)What is the Total Mechanical Energy of the spring-mass system when the mass has reached a distance of half the amplitude to the right of Position 0? (In joules)
7) What is the magnitude of the spring force on the mass when it has reached a distance of half the amplitude to the right of Position 0? (newtons)
