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You are trying to design a “rail gun" on the Moon (of mass MM = 7.36×1022 kg and radius RM = 1740 km) to launch canisters with mass m at a high speed vi, on an initially nearly horizontal track along the Moon's surface. If vi is large enough, the canisters will fly tangentially away from the moon into deep space. You want the canisters to have a certain speed, vf, when they are very far from the Moon. i) Find an expression for vi in terms of RM, MM, G, and vf. ii) Say you want vf= 500 m/s. Calculate a numerical value for launch speed, vi. %3D

You are trying to design a “rail gun" on the Moon (of mass MM = 7.36×1022 kg and radius RM = 1740 km) to launch canisters with mass m at a high speed vi, on an initially nearly horizontal track along the Moon's surface. If vi is large enough, the canisters will fly tangentially away from the moon into deep space. You want the canisters to have a certain speed, vf, when they are very far from the Moon. i) Find an expression for vi in terms of RM, MM, G, and vf. ii) Say you want vf= 500 m/s. Calculate a numerical value for launch speed, vi. %3D

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Parts to be solved b and c. 

5.1 a) A 2.00 kg block with initial speed 1.50 m/s slides across a horizontal surface for 0.750 m before coming to rest. Assuming that the frictional force between the block and table is constant over that time, calculate its magnitude. b) Jump vertically as high as you can from the ground. Use conservation of energy to estimate your speed just as you leave the ground. (A range of values is acceptable here, depending on your estimate of how much you can change your center of mass location!) c) You are trying to design a "rail gun" on the Moon (of mass MM = 7.36×1022 kg and radius RM = 1740 km) to launch canisters with mass m at a high speed vi, on an initially nearly horizontal track along the Moon's surface. If vi is large enough, the canisters will fly tangentially away from the moon into deep space. You want the canisters to have a certain speed, vf, when they are very far from the Moon. i) Find an expression for vi in terms of RM, MM, G, and vf. ii) Say you want vf = 500 m/s. Calculate a numerical value for launch speed, vi.
Transcribed Image Text:5.1 a) A 2.00 kg block with initial speed 1.50 m/s slides across a horizontal surface for 0.750 m before coming to rest. Assuming that the frictional force between the block and table is constant over that time, calculate its magnitude. b) Jump vertically as high as you can from the ground. Use conservation of energy to estimate your speed just as you leave the ground. (A range of values is acceptable here, depending on your estimate of how much you can change your center of mass location!) c) You are trying to design a "rail gun" on the Moon (of mass MM = 7.36×1022 kg and radius RM = 1740 km) to launch canisters with mass m at a high speed vi, on an initially nearly horizontal track along the Moon's surface. If vi is large enough, the canisters will fly tangentially away from the moon into deep space. You want the canisters to have a certain speed, vf, when they are very far from the Moon. i) Find an expression for vi in terms of RM, MM, G, and vf. ii) Say you want vf = 500 m/s. Calculate a numerical value for launch speed, vi.
Expert Solution
Step 1

Hi there! the part b of the question that you have posted is an experimental question which can not be answered in this platform. So, we are providing the solution of "part C".

Part C:

Given information:

Mass of moon (Mm) = 7.36×1022 kg

The Radius of the moon (Rm) = 1740 km

Let "Vi" and "Vf" are initial and final velocities of the Canister

let "m" be the mass of the Canister.

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