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2. (50%) At an altitude RA = 4.30 × 106 m above the earth surface, the...
At what altitude above the surface of the carth the acceleration of gravity (free fall) is...
At what altitude above the surface of the carth the acceleration of gravity (free fall) is 0.875 of its value at the surface? 7. Note that: Radius of Earth is Re 6.37 x 106 m Mass of Earth is Me-5.98 x 1024 kg Gravitational Constant G- 6.67 x 101l N.m'/kg
A space elevator has an altitude above the Earth's surface of 40,000 km. What would be...
A space elevator has an altitude above the Earth's surface of 40,000 km. What would be the kinetic energy of a 1kg mass at the end of our space elevator? What would be the gravitational potential energy of that mass? If the 1 kg object fell all the way down to the Earth's surface, what would be its speed just before impact? (The radius of Earth is 6.4 x 106 m).
1. For the earth, an estimate of the variation of pressure with altitude above the surface of the earth is made for a gas of molecular weight, M, assuming the atmosphere is isothermal, the variation...
1. For the earth, an estimate of the variation of pressure with altitude above the surface of the earth is made for a gas of molecular weight, M, assuming the atmosphere is isothermal, the variation of g with altitude is negligible, and that the atmosphere behaves like an ideal gas. A significant error in this estimate arises from the assumption that the temperature of the atmosphere, T, is isothermal instead of decreasing with altitude. This decrease with altitude y in...
A satellite has a mass of 92 kg and is located at 1.99 106 m above the surface of Earth. (a)...
A satellite has a mass of 92 kg and is located at 1.99 106 m above the surface of Earth.(a) What is the potential energy associated with the satellite at this location?(b) What is the magnitude of the gravitational force on the satellite?
Task 2 (Gravitational Potential of the Earth) In good approximation, the earth can be regarded as...
Task 2 (Gravitational Potential of the Earth) In good approximation, the earth can be regarded as a sphere of homogenous mass density with radius R and total mass M. The gravitational potential of a mass m which has a distance r to the center of the earth is given by GMm , r>R U(r) 2R where Eo and G are constants a) Calculate the force F(r) which acts on a mass m at the earth's surface Hint: The gradient of...
A satellite has a mass of 109 kg and is located at 1.97 106 m above the surface of Earth. (a) What is the potential ene...
A satellite has a mass of 109 kg and is located at 1.97
106 m above the surface of Earth.
(a) What is the potential energy associated with the satellite
at this location?
J
(b) What is the magnitude of the gravitational force on the
satellite?
As a body is projected to a high altitude above the earths surface, the variation of...
As a body is projected to a high altitude above the earths surface, the variation of the acceleration of gravity with respect to alitude y must be taken into account. Neglecting air resistance, this acceleration is determined from the formula a -go R2 /(R + ν , where g.-9.81 m/s 2 e constant gravita or al acceleration at se a la e R-E 56 m s e radius of he earth and the positive d rection is measured upward. Part...
2. A rocket of mass m is fired vertically from the Earth, with an initial speed U. It rises to a ...
2. A rocket of mass m is fired vertically from the Earth, with an initial speed U. It rises to a height R/2 before falling back to Earth, where R is the radius of the Earth. Calculate U in terms of G, M (the Earth's mass) and R. The rocket is fired with the same initial speed, but this time at an angle 45° to the horizontal. Calculate its angular momentum J and total energy E, and use these to...
1. The cantilever beam AB of length L shown in Fig.(a carries a uniformly distributed load of int...
1. The cantilever beam AB of length L shown in Fig.(a carries a uniformly distributed load of intensity wo, which includes the weight of the beam. Equation of the elastic curve is given by the following differential equation Af _irer where M is the bending moment of the beam. it is also given that of the beam and I modulus of Inertia. where E- Modulus of the elasticity v is the deflection of the beam. Compute the maximum displacement of...
Bachelor of Engineering Technology (Civil) Program School of Engineering, Design and Construction...
Bachelor of Engineering Technology (Civil) Program School of Engineering, Design and Construction ENGINEERING MATHEMATICS 2 (BET 203) Assignment-: Differential equations Answer all questions showing your work very clearly Attach completed Assignment cover sheot Please note that class participation is compulsory for this Assessment Duc date: 2A 2019 (6.00 pm) late submissions will incur 10% of penalty each day it is late. All work produced must be neat and clear. Word processed is preferred. 1. The cantilever beam AB of length...
At what altitude above the surface of the carth the acceleration of gravity (free fall) is 0.875 of its value at the surface? 7. Note that: Radius of Earth is Re 6.37 x 106 m Mass of Earth is Me-5.98 x 1024 kg Gravitational Constant G- 6.67 x 101l N.m'/kg
1. For the earth, an estimate of the variation of pressure with altitude above the surface of the earth is made for a gas of molecular weight, M, assuming the atmosphere is isothermal, the variation of g with altitude is negligible, and that the atmosphere behaves like an ideal gas. A significant error in this estimate arises from the assumption that the temperature of the atmosphere, T, is isothermal instead of decreasing with altitude. This decrease with altitude y in...
Task 2 (Gravitational Potential of the Earth) In good approximation, the earth can be regarded as a sphere of homogenous mass density with radius R and total mass M. The gravitational potential of a mass m which has a distance r to the center of the earth is given by GMm , r>R U(r) 2R where Eo and G are constants a) Calculate the force F(r) which acts on a mass m at the earth's surface Hint: The gradient of...
A satellite has a mass of 109 kg and is located at 1.97
106 m above the surface of Earth.
(a) What is the potential energy associated with the satellite
at this location?
J
(b) What is the magnitude of the gravitational force on the
satellite?
As a body is projected to a high altitude above the earths surface, the variation of the acceleration of gravity with respect to alitude y must be taken into account. Neglecting air resistance, this acceleration is determined from the formula a -go R2 /(R + ν , where g.-9.81 m/s 2 e constant gravita or al acceleration at se a la e R-E 56 m s e radius of he earth and the positive d rection is measured upward. Part...
2. A rocket of mass m is fired vertically from the Earth, with an initial speed U. It rises to a height R/2 before falling back to Earth, where R is the radius of the Earth. Calculate U in terms of G, M (the Earth's mass) and R. The rocket is fired with the same initial speed, but this time at an angle 45° to the horizontal. Calculate its angular momentum J and total energy E, and use these to...
1. The cantilever beam AB of length L shown in Fig.(a carries a uniformly distributed load of intensity wo, which includes the weight of the beam. Equation of the elastic curve is given by the following differential equation Af _irer where M is the bending moment of the beam. it is also given that of the beam and I modulus of Inertia. where E- Modulus of the elasticity v is the deflection of the beam. Compute the maximum displacement of...
Bachelor of Engineering Technology (Civil) Program School of Engineering, Design and Construction ENGINEERING MATHEMATICS 2 (BET 203) Assignment-: Differential equations Answer all questions showing your work very clearly Attach completed Assignment cover sheot Please note that class participation is compulsory for this Assessment Duc date: 2A 2019 (6.00 pm) late submissions will incur 10% of penalty each day it is late. All work produced must be neat and clear. Word processed is preferred. 1. The cantilever beam AB of length...
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