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pg 72; #51: A 1500 kg satellite is in a stable orbit at an altitude of 4.0×10^5 m above the Earth’s surface. What is the satellite’s total energy in this orbit? List all the steps.
Make a list of the given values to determine which formula to use.
Rewrite Total Energy = Ep and Ek as Total Energy = -GMm/r + (1/2)(GMm/r)
Input values into Total Energy = -(1/2)(GMm/r)
pg 72; #51: A 1500 kg satellite is in a stable orbit at an altitude of 4.0×10^5 m above the Earth’s surface. What is the satellite’s total energy in this orbit? What is step 1?
Make a list of the given values to determine which formula to use.
pg 72; #51: A 1500 kg satellite is in a stable orbit at an altitude of 4.0×10^5 m above the Earth’s surface. What is the satellite’s total energy in this orbit? What is step 2?
Rewrite Total Energy = Ep and Ek as Total Energy = -GMm/r + (1/2)(GMm/r)
pg 72; #51: A 1500 kg satellite is in a stable orbit at an altitude of 4.0×10^5 m above the Earth’s surface. What is the satellite’s total energy in this orbit? What is step 3?
Input values into Total Energy = -(1/2)(GMm/r) and solve.
pg 72; #50: What is the gravitational field strength on the surface of a planetoid with a mass of 7.4 × 10^22 kg and a radius of 1.7 × 10^6? List all the steps.
List out all of the given values and the unknown value.
Identify the formula.
Plug in values and solve for g.
pg 72; #50: What is the gravitational field strength on the surface of a planetoid with a mass of 7.4 × 10^22 kg and a radius of 1.7 × 10^6? What is step 1?
List all of the known values and unknown value.
M = 7.4 × 10^22 kg
r = 1.7 × 10^6
G = 6.67 × 10^-11 Nm²/kg²
g = ?
pg 72; #50: What is the gravitational field strength on the surface of a planetoid with a mass of 7.4 × 10^22 kg and a radius of 1.7 × 10^6? What is step 2?
Identify the formula.
g = GM/r²
pg 72; #50: What is the gravitational field strength on the surface of a planetoid with a mass of 7.4 × 10^22 kg and a radius of 1.7 × 10^6? What is step 3?
Input the values into the formula.
g = (6.67×10^-11)(7.4×10^22 kg)/(1.7×10^6 m)²
g = 1.7 N/kg