Question

A massless pan hangs from a spring that is suspended from the ceiling. When empty, the...

A massless pan hangs from a spring that is suspended from the ceiling. When empty, the pan is 50 cm below the ceiling. If a 100 g clay ball is placed gently on the pan, the pan hangs 60 cmbelow the ceiling. Suppose the clay ball is dropped from the ceiling onto an empty pan.

Part A

What is the pan's distance from the ceiling when the spring reaches its maximum length?

Express your answer to two significant figures and include the appropriate units.

L =

Homework Answers

Answer #1

After the clay ball is gently put on the pan, the net force on the pan zero once it displaces by 10 cm. So

So, Fgrav = Fspring

=> mg = k[L - Lo]

=> (0.100)(9.8) = k(0.60 - 0.50]

=> k = 9.8 N/m

Now when the clay ball is dropped from the ceiling, the ball acquires some kinetic energy. By Work Energy Theorem, the change in Potential Energy will bring about change in Kinetic Energy.

Therefore mg[h - ho] = (1/2)m(v2 - u2) = 0.100(9.8)(0.5) = 0.490 J

Once the ball reaches the pan, this energy will get stored in the pan in the form of elastic potential energy thereby displacing it.

So, 0.490 = (1/2)kx2

where x is the displacement from the mean position Lo = 0.5 m

=> 0.490 = (1/2)(9.8)x2

=> x = 0.3162 m = 31.62 cm.

therefore the pan's distance from the ceiling is L = 50 + 31.62 = 81.62 cm.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A spring with spring constant 15.5 N/m hangs from the ceiling. A ball is suspended from...
A spring with spring constant 15.5 N/m hangs from the ceiling. A ball is suspended from the spring and allowed to come to rest. It is then pulled down 6.00 cm and released. The ball makes 25.0 oscillations in 20.0 seconds. Part A What is the mass of the ball? Express your answer to three significant figures and include the appropriate units. Part B What is the maximum speed? Express your answer to three significant figures and include the appropriate...
A spring with spring constant 20.0 N/mN/m hangs from the ceiling. A ball is suspended from...
A spring with spring constant 20.0 N/mN/m hangs from the ceiling. A ball is suspended from the spring and allowed to come to rest. It is then pulled down 9.50 cmcm and released. The ball makes 39.0 oscillations in 19.0 seconds. A. What is the mass of the ball? B.What is the maximum speed?
An ideal spring hangs from the ceiling. A 2.15 kg mass is hung from the spring,...
An ideal spring hangs from the ceiling. A 2.15 kg mass is hung from the spring, stretching the spring a distance d = 0.0905 m from its original length when it reaches equilibrium. The mass is then lifted up a distance L = 0.0225 m from the equilibrium position and released. What is the kinetic energy of the mass at the instant it passes back through the equilibrium position?
A 99-kg box hangs from the ceiling of a room suspended from a spring with a...
A 99-kg box hangs from the ceiling of a room suspended from a spring with a force constant of 525 N/m. the unstressed length of the spring is 0.450 m. a) Find the equilibrium position of the box. b) An identical spring is stretched and attached to the ceiling and the box, and its parallel with the first spring. Find the frequency of the oscillations when the box is released. c) What is the new equilibrium position of the box...
A spring with spring constant 17 N/m hangs from the ceiling. A ball is attached to...
A spring with spring constant 17 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 9.5 cm and released. The ball makes 32 oscillations in 16 s seconds. What is its maximum speed?
A 0.175-kg frame, when suspended from a coil spring, stretches the spring 0.0400 m. A 0.200-kg...
A 0.175-kg frame, when suspended from a coil spring, stretches the spring 0.0400 m. A 0.200-kg lump of putty is dropped from rest onto the frame from a height of 30.0 cm (Figure 1). Find the maximum distance the frame moves downward from its initial equilibrium position. Express your answer with the appropriate units. remained 2 rights to answer the question. please do correct!!!!!!!!!!!!!!!!!!!!!
1 A massless spring with spring constant ? hangs from the ceiling with a small object...
1 A massless spring with spring constant ? hangs from the ceiling with a small object of mass ? attached to its lower end. The object is initially held at the spring’s rest position. The object is then released oscillates up and down, with its lowest position being 10 ?? below the point from which it was released. a) What is the value of the ratio of the spring constant of the spring over the mass attached? That is, what...
A spring with spring constant 10.5 N/m hangs from the ceiling. A 460 g ball is...
A spring with spring constant 10.5 N/m hangs from the ceiling. A 460 g ball is attached to the spring and allowed to come to rest. It is then pulled down 8.00 cm and released. What is the time constant if the ball's amplitude has decreased to 2.70 cm after 31.0 oscillations?
A 8.0-cm-long spring is attached to the ceiling. When a 2.5 kg mass is hung from...
A 8.0-cm-long spring is attached to the ceiling. When a 2.5 kg mass is hung from it, the spring stretches to a length of 17 cm . 1. What is the spring constant k? 2. How long is the spring when a 3.0 kg mass is suspended from it?
A string of 4.00 cm long hangs from a ceiling with a ball attached to it....
A string of 4.00 cm long hangs from a ceiling with a ball attached to it. When the ball an the string are placed in a horizontal position and released from rest, the ball swings along an arc. How fast ( in m/s) is the ball going at the lowest point in its swing?