A 540 g block is released from rest at height h0 above a vertical spring with spring constant k = 320 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring 19.8 cm. How much work is done (a) by the block on the spring and (b) by the spring on the block? (c) What is the value of h0? (d) If the block were released from height 3h0 above the spring, what would be the maximum compression of the spring?

I just need help with d). I got for a) is 6.27 J, b) is -6.27, and c) is 0.987. All of these are correct, but I am having trouble with d).

1. 👍 0
2. 👎 0
3. 👁 211
1. distance block moves down = h0 + .198
loss of potential energy by block =
.540 ( 9.81 ) (h0+.198)

gain of potential energy by spring = (1/2)(320)(.198). This is energy gained by spring and lost by block.

so
.540(9.81)(h0+.198) = (1/2)(320)(.198)
solve for h0

then do it for 3 h0

1. 👍 0
2. 👎 0
2. I got the complete equation
1/2*k*y^2 - m*g*y - m*g*3h0 and solved for y, and got 0.330 and its correct. Thanks.

1. 👍 0
2. 👎 0
posted by Fiona

## Similar Questions

1. ### Physics

A 540 g block is released from rest at height h0 above a vertical spring with spring constant k = 320 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring 19.8 cm. How much

asked by Fiona on March 16, 2014
2. ### Physics

A 540 g block is released from rest at height h0 above a vertical spring with spring constant k = 320 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring 19.8 cm. How much

asked by Riley on March 10, 2014
3. ### physics

A 506 g block is released from rest at height h0 above a vertical spring with spring constant k = 500 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring 18.4 cm. How much

asked by VitaX on October 16, 2010
4. ### physics

A 710 gram block is released from a height h above an ideal spring of spring constant 400 N/m. The block sticks to the spring, and comes momentarily to rest after compressing the spring by an amount of 18.7 cm. DropOnSpring (a)

asked by Anonymous on October 19, 2013
5. ### phys2

A 2.9-kg block is released from rest and allowed to slide down a frictionless surface and into a spring. The far end of the spring is attached to a wall, as shown. The initial height of the block is 0.34 m above the lowest part of

asked by opp on February 26, 2012
6. ### mechanics: spring problem

You drop a block from rest from a height h=3 m. The block lands on the spring at height h1 = 1.5 meters (spring constant = 160Nm) and compresses it 0.5 m before the block and spring momentarilty come to rest. (The spring then

asked by student1618 on September 3, 2015
7. ### Physics

A block of mass 0.229 kg is placed on top of a light, vertical spring of force constant 4665 N/m and pushed downward so that the spring is compressed by 0.093 m. After the block is released from rest, it travels upward and then

asked by beavis on March 17, 2012
8. ### PHYSICS

A 0.150 kg block is placed on a light vertical spring (k = 4.60 103 N/m) and pushed downward, compressing the spring 0.100 m. After the block is released, it leaves the spring and continues to travel upward. What height above the

asked by Petrik on October 27, 2010
9. ### Physics

A vertical spring with a spring constant of 400 N/m is mounted on the floor. From directly above the spring, which is unstrained, a 0.30 kg block is dropped from rest. It collides with and sticks to the spring, which is compressed

asked by Anne on December 1, 2011
10. ### Physics

A vertical spring with a spring constant of 400 N/m is mounted on the floor. From directly above the spring, which is unstrained, a 0.30 kg block is dropped from rest. It collides with and sticks to the spring, which is compressed

asked by Aaron on January 30, 2013

More Similar Questions