Question
A 4.55-kg ball of clay is thrown downward from a height of 3.13 m with a speed of 4.41 m/s onto a spring with k = 1690 N/m. The clay compresses the spring a certain maximum amount before momentarily stopping.
a) Find the maximum compression of the spring.
b) Find the total work done on the clay during the spring's compression.
a) Find the maximum compression of the spring.
b) Find the total work done on the clay during the spring's compression.
Answers
a) If X is the maximum spring compression,
M g (H+X) + (1/2) M Vo^2 = (1/2)k X^2
M = 4.55 kg, H = 3.13 m, and Vo = 4.41 m/s
Solve for X
b) After solving for X, -(1/2) kX^2 is the work done on the clay by the spring. M g X is done by gravity.
M g (H+X) + (1/2) M Vo^2 = (1/2)k X^2
M = 4.55 kg, H = 3.13 m, and Vo = 4.41 m/s
Solve for X
b) After solving for X, -(1/2) kX^2 is the work done on the clay by the spring. M g X is done by gravity.
i am still not getting the right answer. i think my algebra is wrong. what did you get for an answer?
They may be neglecting the X term on the left, but it should be included. Gravity continues to act as the spring is compressed.
Neglecting the X on the left makes the problem easier; otherwise you have a quadratic equation to solve.
I did not compute an answer.
Neglecting the X on the left makes the problem easier; otherwise you have a quadratic equation to solve.
I did not compute an answer.
Related Questions
a ball is thrown downward from the too of 110 ft bldg with an initial velocity of 14ft per second. t...
A ball is thrown downward from the top of a 100-foot building with an initial velocity of 14 feet pe...
A ball is thrown from a height of 217 feet with an Initial downward velocity of 17 ft/s. The ball's...