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Problem 3: A meteoroid is moving towards a planet. It has mass m = 0.66x10° kg and speed vị = 3.5x107 m/s at distance R1 = 3.2x107 m from the center of the planet. The radius of the planet is R = 0.26x107 m. The mass of the planet is M = 7.6x1025 kg. There is no air around the planet.

Problem 3: A meteoroid is moving towards a planet. It has mass m = 0.66x10° kg and speed vị = 3.5x107 m/s at distance R1 = 3.2x107 m from the center of the planet. The radius of the planet is R = 0.26x107 m. The mass of the planet is M = 7.6x1025 kg. There is no air around the planet.

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
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Gravitation Q3: Please answer all parts and explain all reasonings for each step (even if minor)
Problem 3: A meteoroid is moving towards a planet. It has mass m = 0.66×10° kg and speed v = 3.5x107 m/s at distance R = 3.2x107 m from the center of the planet. The radius of the planet is R = 0.26x107 m. The mass of the planet is M = 7.6×1025 kg. There is no air around the planet. Part (a) Enter an expression for the gravitational potential energy PE of the meteoroid at R1 in terms of defined quantities and the gravitational constant G. Assume the potential energy is zero at infinity. Expression : PE1 = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, G, h, m, M, P, R, R1, t, v, v1 Part (b) Calculate the value of PE¡, in joules. Numeric : A numeric value is expected and not an expression. PE = Part (c) Enter an expression for the total energy E, of the meteoroid at R in terms of defined quantities. Expression : E1 = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, G, h, m, M, P, R, R1,t, v, vị Part (d) Calculate the value of E1, in joules. Numeric : A numeric value is expected and not an expression. E1 = Part (e) Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid's speed when it reaches the planet's surface. Expression : E = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, G, h, m, M, P, R, R1, t, v, v1 Part (f) Enter an expression for v, the meteoroid's speed at the planet's surface, in terms of G, M, vị, R1, and R. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, G, h, m, M, P, R, R1,t, v, v1 Part (g) Calculate the value of v in meters per second. Numeric : A numeric value is expected and not an expression.
Transcribed Image Text:Problem 3: A meteoroid is moving towards a planet. It has mass m = 0.66×10° kg and speed v = 3.5x107 m/s at distance R = 3.2x107 m from the center of the planet. The radius of the planet is R = 0.26x107 m. The mass of the planet is M = 7.6×1025 kg. There is no air around the planet. Part (a) Enter an expression for the gravitational potential energy PE of the meteoroid at R1 in terms of defined quantities and the gravitational constant G. Assume the potential energy is zero at infinity. Expression : PE1 = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, G, h, m, M, P, R, R1, t, v, v1 Part (b) Calculate the value of PE¡, in joules. Numeric : A numeric value is expected and not an expression. PE = Part (c) Enter an expression for the total energy E, of the meteoroid at R in terms of defined quantities. Expression : E1 = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, G, h, m, M, P, R, R1,t, v, vị Part (d) Calculate the value of E1, in joules. Numeric : A numeric value is expected and not an expression. E1 = Part (e) Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid's speed when it reaches the planet's surface. Expression : E = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, G, h, m, M, P, R, R1, t, v, v1 Part (f) Enter an expression for v, the meteoroid's speed at the planet's surface, in terms of G, M, vị, R1, and R. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, G, h, m, M, P, R, R1,t, v, v1 Part (g) Calculate the value of v in meters per second. Numeric : A numeric value is expected and not an expression.
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