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can you please give me step by step instructions and explanation on all 4 questions. i'm very lost. Fundamental Constants: g = 9.81 m/s2 standard

can you please give me step by step instructions and explanation on all 4 questions. i'm very lost.

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Fundamental Constants\": g = 9.81 m/s2 standard acceleration of gravity 1. A tennis ball was thrown from the top of the building with initial velocity u = 8 m/s. Sometimes later the tennis ball landed on the ground with the velocity v = 25 m/s. The air resistance was negligibly small. Calculate the height of the building H using the Energy Conservation principle. 2. A sled starts sliding from the top of the slope a = 30 with initial velocity to = 1.0 m / s. The length of the slope is D = 50 m. Consider that the friction between the sled and the slope is negligibly small, and ignore the air resistance during the motion. Calculate the velocity of the sled v at the bottom of the slope using the Energy Conservation principle. ' 3. Two carts are initially moving toward each other on a linear track, and then the carts collide. The mass of the rst cart is m1 = 0.25 kg, and the mass of the second cart is m2 = 2.25 kg. The rst cart had the initial velocity magnitude [all = 6.0 m/s, while the initial velocity magnitude of the second cart was |u.2[ = 1.5 m/s. (a) Calculate the velocities of the carts '01 and '02 after elastic collision. (b) Calculate the velocities of the carts 11 after inelastic \"velcro\" collision. 4. Two carts are initially moving in the same direction on a linear track, and then the carts collide. The mass of the rst cart is m1 = 0.25 kg, and the mass of the second cart is 7212 = 2.25 kg. The rst cart had the initial velocity magnitude Iull : 6.0 m/s, while the initial velocity magnitude of the second cart was [U2] = 1.5 m/s. (a) Calculate the velocities of the carts v1 and v2 after elastic collision. (b) Calculate the velocities of the carts 1) after inelastic \"velcro\" collision

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