# Physics

posted by .

A small steel ball bearing with a mass of 24 g is on a short compressed spring. When aimed vertically and suddenly released, the spring sends the bearing to a height of 1.23 m. Calculate the horizontal distance the ball will travel if the same spring is aimed 27° from the horizontal.

For this problem, does the mass need to be considered? Or do I just ignore the mass and solve for the velocities?

• Physics -

Yes, the mass has to be considered. The spring is operating against gravitational forces in the vertical.

energy in spring= massball*g*height

because it is short, you can ignore the change in GPE when the spring is compressed.
If that is so, then
1/2mv^2=mgh and you are right, mass divides out.
v initial= sqrt (2gh)
this is the same v initial when launched at any other angle.

• Physics -

Once I then have the initial vel., how can I go about getting the horizintal distance? Don't I need time?

• Physics -

No,

initial vertical velocity= v*sinTheta

That will lead to time in air.

• Physics -

Ahh ok I got it now.

Thanks. :)

## Similar Questions

1. ### physics

A small steel ball bearing with a mass of 28.0 g is on a short compressed spring. When aimed vertically and suddenly released, the spring sends the bearing to a height of 1.25 m. Calculate the horizontal distance the ball would travel …
2. ### physics

A small steel ball bearing with a mass of 28.0 g is on a short compressed spring. When aimed vertically and suddenly released, the spring sends the bearing to a height of 1.25 m. Calculate the horizontal distance the ball would travel …
3. ### Physics

Block A of mass 4.0 kg is on a horizontal, frictionless tabletop and is placed against a spring of negligible mass and spring constant 650 N m. The other end of the spring is attached to a wall. The block is pushed toward the wall …
4. ### phsic

A small steel ball bearing with a mass of 10 g is on a short compressed spring. When aimed vertically and suddenly released, the spring sends the bearing to a height of 1.19 m. Calculate the speed at which the ball leaves the spring.
5. ### Physics

A spring with a spring constant of 223.9 N/m is compressed by 0.220 m. Then a steel ball bearing of mass 0.0372 kg is put against the end of the spring, and the spring is released. What is the speed of the ball bearing right after …
6. ### physics

A small steel ball bearing with a mass of 10 g is on a short compressed spring. When aimed vertically and suddenly released, the spring sends the bearing to a height of 1.19 m. Calculate the speed at which the ball leaves the spring. …
7. ### physics

A spring-loaded toy gun is used to shoot a ball of mass m straight up in the air. The spring has spring constant k. If the spring is compressed a distance x_0 from its equilibrium position ( y = 0 ) and then released, the ball reaches …