Homework SourseThe spring in a T shirt launcher has a spring constant of 80
The spring in a T shirt launcher has a spring constant of 800N/m. When loaded withe T shirt spring is compressed 50 cm
If launcher is used to propel shirt with mass 850 g , determine maximum height shirt could reach above launch point
What assumptions did you make regarding energy transfer and how launcher was pointed
How would actual height compare to calculated height. Explain
The spring in a T shirt launcher has a spring constant of 800N/m. When loaded withe T shirt spring is compressed 50 cm
If launcher is used to propel shirt with mass 850 g , determine maximum height shirt could reach above launch point
What assumptions did you make regarding energy transfer and how launcher was pointed
How would actual height compare to calculated height. Explain
If launcher is used to propel shirt with mass 850 g , determine maximum height shirt could reach above launch point
What assumptions did you make regarding energy transfer and how launcher was pointed
How would actual height compare to calculated height. Explain
Solution
spring constant, k = 800 N/m
when the launcher is loaded,
the PE stored in the spring:
PEs = 0.5*k*x^2
= 0.5*800*0.5^2
= 100 J
Now, this stored energy in the spring is converted to gravitational PE <
NOTE : for maximum height, it has to be pointed vertically so that all it stored energy is converted to gravitational PE
So, 100 = mgh
So, 100 = 0.85*9.8*h
So, h = 12 m <-------answer
The actual height will be greater than the calculated height as the shirt is kept in vertical direction, the spring is compressed slightly more , so more energy is stored than the calculated.
