- #1

aspodkfpo

- 148

- 5

- Homework Statement:
- below

- Relevant Equations:
- v^2=u^2+2as

Genevieve the galah wants to test out her new creation - the Nifty Numbat Launcher. It consists of a large, ideal spring with equilibrium length l1 = 1.7 m and spring constant k=41 N/m. The spring rests upon a ramp of length l1 inclined at an angle β=30∘ to the horizontal. The spring is attached to the bottom of the ramp. Genevieve compresses the spring to a shorter length l2 = 0.4 m, and convinces her mate Nigel the numbat (mass m = 2.5 kg) to hop onto the ramp in front of the spring. When she releases the compressed spring, Nigel will be launched into the air! But just how fast will he be launched?

Below is a diagram of the Nifty Numbat Launcher in action.

I am getting 3.87 for velocity. Answer says 3.325. No idea how they got it.

I drew a basic force diagram, spring force upwards 41x1.3/2 - gravity component force downwards 9.8x2.5sin30. Net force/2.5. Then use v^2=u^2+2as.

Below is a diagram of the Nifty Numbat Launcher in action.

I am getting 3.87 for velocity. Answer says 3.325. No idea how they got it.

I drew a basic force diagram, spring force upwards 41x1.3/2 - gravity component force downwards 9.8x2.5sin30. Net force/2.5. Then use v^2=u^2+2as.

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