# Physics

posted by .

A slingshot with k = 400. N/m is pulled back 0.0500 m to shoot a 0.100-kg stone. If the slingshot projects the stone straight up in the air, (a) what is the speed when the stone is first released, and (b) what is the maximum height to which the stone will rise? [neglect friction]

• Physics -

potential energy = (1/2)(400)(.5)^2 = 50 J

so Ke = 50 = (1/2) m v^2
(1/2)(.1)v^2 = 50
v = 31.6 m/s

potential energy at top = m g h = 50
.1 * 9.8 * h = 50
h = 51 meters

• Physics -

(a) (Stored slingshot potential energy) = (Kinetic energy of stone when released)

(1/2)kX^2 = (1/2)MVo^2

Vo = X*sqrt(k/M)
= 0.05*sqrt(400/0.1) = 3.16 m/s
(which is not very fast)

(b) (Maximum gravitational potential energy) = (Stored slingshot potential energy)
M g H = (1/2) k X^2
H = [k/(2Mg)]*X^2
(not very high, either)

• Physics -

Are you sure the pull back is only X = 0.05 meters?

• Physics -

Thanks so much! Yeah, it's weird it says 0.05 meters. Thanks though!

## Similar Questions

1. ### Physics

A stone is launched straight up by a slingshot. Its initial speed is 18.8 m/s and the stone is 1.30 m above the ground when launched. How much time elapses before the stone hits the ground
2. ### physics

A stone is launched straight up by a slingshot. Its initial speed is 20.1 m/s and the stone is 1.30 m above the ground when launched. Assume g = 9.80 m/s2. (a) How high above the ground does the stone rise?
3. ### Physics

A slingshot with k = 400. N/m is pulled back 0.0500 m to shoot a 0.100-kg stone. If the slingshot projects the stone straight up in the air, (a) what is the speed when the stone is first released, and (b) what is the maximum height …
4. ### Physics

A stone is dropped from rest from the roof of a 100-m high building; 2.00 s after that, a second stone is thrown straight down with initial speed v0, and the second stone passes the first stone 21.6 m above ground. (a) When are the …
5. ### M.H.S

Marry claims that she can shoot a stone 50m vertically high using slingshot .what is the relationship of the height reached by the stone and initial velocity of it?
6. ### physics

A horizontal slingshot consists of two light, identical springs (with spring constants of 23.7 N/m) and a light cup that holds a 1.97-kg stone. Each spring has an equilibrium length of 50 cm. When the springs are in equilibrium, they …
7. ### physics

A stone is launched straight up by a slingshot. Its initial speed is 20.6 m/s and the stone is 1.59 m above the ground when launched. How high above the ground does the stone rise?
8. ### physics

While standing at the edge of the roof of a building, you throw a stone upward with an initial speed of 6.93 m/s. The stone subsequently falls to the ground, which is 17.1 m below the point where the stone leaves your hand. At what …
9. ### physics

While standing at the edge of the roof of a building, you throw a stone upward with an initial speed of 7.65 m/s. The stone subsequently falls to the ground, which is 11.1 m below the point where the stone leaves your hand. At what …
10. ### Physics

While standing at the edge of the roof of a building, you throw a stone upward with an initial speed of 6.87 m/s. The stone subsequently falls to the ground, which is 13.5 m below the point where the stone leaves your hand. At what …

More Similar Questions