# Physics

A dart gun where you compress the spring and it shoots a rubber dart of a mass 0.122 kg. The dart is shot vertically and gains 2.50 m.
a) what speed did the dart leave the toy gun?
b) If the spring is compressed 0.125 m what is the elasticity coefficient of the spring?

1. 👍 0
2. 👎 0
3. 👁 342
1. Initial velocity=√(2gh)
h=height reached.

Spring constant=k
compression = x = 0.125m
Potential energy=(1/2)mv²=mgh
=(1/2)kx²
solve for k in
(1/2)kx² = mgh
k=2gh/x²

1. 👍 0
2. 👎 0
2. What happen to the m? It cancelled out?

1. 👍 0
2. 👎 0
posted by Michel
3. Yes, but only in the first part.
m was inadvertently omitted in the second part, my apologies.
k=2mgh/x²

1. 👍 0
2. 👎 0
4. Thank you!

1. 👍 0
2. 👎 0
posted by Michel
5. You're welcome! :)

1. 👍 0
2. 👎 0

## Similar Questions

1. ### physics

In compressing the spring in a toy dart gun, 0.5 J of work is done. When the gun is fired, the spring gives its potential energy to a dart with a mass of 0.02 kg. (a) What is the dart’s kinetic energy as it leaves the gun? (b)

asked by Kinetic Energy #2 on February 4, 2011
2. ### Physics

A toy "spring gun" has a spring with a spring constant of 30,000 N/m and is depressed 4 cm. It shoots a plastic dart with a mass of 45 grams. How fast will the dart travel if there is no friction?

asked by mssailormouth on June 18, 2019
3. ### physics

A spring-loaded dart gun is used to shoot a dart straight up into the air, and the dart reaches a maximum height of 12 meters. If the spring is compressed only half as far the second time, how far up does the dart go this time (no

asked by jon on November 21, 2009
4. ### Physics

A toy dart gun has a spring with a spring constant of 315 N/m. An 12 gram dart is loaded in the gun and the spring is compressed a distance of 7.8 cm and then shot into the air. When the dart is 5.8 meters high in the air, what is

asked by Jon on March 31, 2014
5. ### physics

A spring-loaded toy dart is used to shoot a dart straight up in the air, and the dart reaches a maximum height of 16m. The same dart is shot straight up a second time from the same gun, but this time the spring is compressed only

asked by Jean on March 21, 2007

The spring constant of a toy dart gun is 4442 N=m. To cock the gun the spring is compressed 1.5 cm. The 8 g dart, fired straight upward, reaches a maximum height of 26 m. The acceleration of gravity is 9.81 m/s2 : Determine the

asked by kitt on March 4, 2007
2. ### AP Physics

A dart gun vertically launches a 25g dart 50 cm high. Determine the minimum energy stored in the spring when the dart gun was loaded. What would the qualitative bar graph and energy flow diagrams look like?

asked by AnnWarren on January 12, 2015
3. ### physics

a spring driven dark gun propels a .01kg dart. it has a spring constant of 784 N/m and the spring is compressed a distance of .05 m. with what speed will the dart leave the gun, assuming the spring has negligible mass?

asked by Dasha on December 20, 2011
4. ### Physics

A dart leaves a toy dart gun with initial velocity of 7.76 m/s, regardless of the angle it is fired. What is the maximum horizontal distance that the dart can travel? Assume that the dart gun is fired at ground level. Answers: A)

asked by Agent P on September 5, 2017
5. ### Physics

You do 30J of work to load a toy dart gun. However, the dart is 10cm long and feels a frictional force of 10N while going through the dart gun's barrel. What is the kinetic energy of that fired dart? A. 30J B. 29J C. 28J D. 27J

asked by Anonymous on July 20, 2018

More Similar Questions