You are designing a rocket sled test of the rocket sled shown in Figure 1. The...

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You are designing a rocket sled test of the rocket sled shown in Figure 1. The sled has a fixed mass M and is powered by a rocket generating thrust from a gas jet with mass flow rate mburn and exhaust relative velocity Ve. The sled moves to the left when the rocket is fired. On the front of the sled is a scoop that can be deployed into a water trough to slow the sled to a stop. The scoop is deployed within the water to depth h and has the geometry of a flat curved surfaced extending distance b into the paper. As shown, a stream of water with a constant rectangular cross sectional area is turned by angle Theta (from horizontal) by the presence of the scoop. Neglect air drag and wheel friction. The test is conducted on a track consisting of an accelerating region (no water trough) and a decelerating region (with a 20 m water trough) as shown in Figure 2. A final bumper is used to completely stop the sled. Bumper for completely stopping the sled Theta Deceleration Zone Water Trough Length = 20 m Target final velocity = 0.5 m/s Water peach 100. Figure 1. Rocket sled with water scoop in the front and rocket engine in the back. M Acceleration Zone Length = ? Target final velocity = 100 m/s Sled start: Vo=0 m/s at t=0 sec Figure 2. Rocket sled track indicating accelerating (rocket firing) and decelerating (scoop deployed) zones. SING You are designing a rocket sled test of the rocket sled shown in Figure 1. The sled has a fixed mass M and is powered by a rocket generating thrust from a gas jet with mass flow rate mburn and exhaust relative velocity Ve. The sled moves to the left when the rocket is fired. On the front of the sled is a scoop that can be deployed into a water trough to slow the sled to a stop. The scoop is deployed within the water to depth h and has the geometry of a flat curved surfaced extending distance b into the paper. As shown, a stream of water with a constant rectangular cross sectional area is turned by angle Theta (from horizontal) by the presence of the scoop. Neglect air drag and wheel friction. The test is conducted on a track consisting of an accelerating region (no water trough) and a decelerating region (with a 20 m water trough) as shown in Figure 2. A final bumper is used to completely stop the sled. Bumper for completely stopping the sled Theta Deceleration Zone Water Trough Length = 20 m Target final velocity = 0.5 m/s Water peach 100. Figure 1. Rocket sled with water scoop in the front and rocket engine in the back. M Acceleration Zone Length = ? Target final velocity = 100 m/s Sled start: Vo=0 m/s at t=0 sec Figure 2. Rocket sled track indicating accelerating (rocket firing) and decelerating (scoop deployed) zones. SING

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Answer I Symbolic Equation for Velocity Vt We start with Newtons second la... View the full answer