A block with mass m =6.8 kg is hung from a vertical spring. When the mass hangs
Question:
A block with mass m =6.8 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.22 m. While at this equilibrium position, the mass is then given an initial push downward at v = 5 m/s. The block oscillates on the spring without friction.
1) What is the spring constant of the spring?
2)What is the oscillation frequency?
3)After t = 0.3 s what is the speed of the block?
4)What is the magnitude of the maximum acceleration of the block?
5)At t = 0.3 s what is the magnitude of the net force on the block?
6)Where is the potential energy of the system the greatest? At the highest point of the oscillation.
At the new equilibrium position of the oscillation.
At the lowest point of the oscillation.
#2. A block with mass m = 5.7 kg is attached to two springs with spring constants kleft = 36 N/m and kright = 53 N/m. The block is pulled a distance x = 0.22 m to the left of its equilibrium position and released from rest.
1)What is the magnitude of the net force on the block (the moment it is released)? _N
2)What is the effective spring constant of the two springs? _N/m
3)What is the period of oscillation of the block? _s
4)How long does it take the block to return to equilibrium for the first time?
5)What is the speed of the block as it passes through the equilibrium position?
6)What is the magnitude of the acceleration of the block as it passes through equilibrium?
7)Where is the block located, relative to equilibrium, at a time 0.91 s after it is released? (if the block is left of equilibrium give the answer as a negative value; if the block is right of equilibrium give the answer as a positive value)
8)What is the net force on the block at this time 0.91 s? (a negative force is to the left; a positive force is to the right)
9)What is the total energy stored in the system?
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick