- #1
patrickmoloney
- 94
- 4
Homework Statement
A block of mass 5kg is released from rest and slides down a distance D down a smooth plane inclined at 30◦ to the horizontal. It then strikes a spring compressing it 10cm before it begins to move up the plane. If the spring constant is 980 N/m and g=9.8m/s², find D. Solve Using the Principle of Conservation of Energy.
Homework Equations
mgh=1/2kx²
The Attempt at a Solution
I drew a diaghram of the problem and found the resultant forces on the block.
Kinetic energy of the block= potential at the bottom of the spring.
mgh=1/2kx²
m=5 Kg, g=9.8 m/s² , h= Dsin30 (pythagoras theorem) , k= 980 N/m , x= 0.1m
subbing into the formula
(5)(9.8)(Dsin30)=1/2(980)(0.1)
D=0.2 m
is this the correct solution? it's an assignment so I'd like the method to be correct. Thanks in advance.