Determine total mechanical energy

In summary, the total mechanical energy of a 400kg satellite in circular orbit 1100km above Earth's surface can be determined by adding the gravitational potential energy and kinetic energy together. However, to find the kinetic energy, the velocity of the satellite is needed. This can be found by equating the centripetal force to the gravitational force and assuming that the Earth's mass is significantly larger than the satellite's mass.
  • #1
nickb145
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Homework Statement


What's the total mechanical energy of a 400kg satellite in circular orbit 1100km above Earth's surface?


Homework Equations



The Gravitational potential energy U=-(Gm1m2)/r

kinetic energy k=1/2mv^2


The Attempt at a Solution



At first i thought i could do just the gravitational potential energy, then figured out i was missing the kinetic energy. But one problem, i can't remember how to find the velocity

Would it have anything with angular velocity with it?

So i have the gravitational potential energy, just not the kinetic enegry...
 
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  • #2
Equate centripetal force to gravitational force.

Assume Earth mass >> satellite mass.
 

FAQ: Determine total mechanical energy

What is total mechanical energy?

Total mechanical energy is the sum of an object's kinetic energy and potential energy. Kinetic energy is the energy an object possesses due to its motion, while potential energy is the energy an object has because of its position or state.

How is total mechanical energy determined?

Total mechanical energy can be determined by adding the kinetic energy and potential energy of an object. The formula for calculating total mechanical energy is: E = KE + PE.

What is the unit of measurement for total mechanical energy?

Total mechanical energy is measured in joules (J) in the SI (International System of Units) system. Other common units used to measure energy include calories (cal) and kilowatt-hours (kWh).

Can total mechanical energy be negative?

Yes, total mechanical energy can be negative. This typically occurs when an object has a negative kinetic energy, such as when it is moving in the opposite direction of a force acting upon it. However, the total mechanical energy of a closed system will remain constant, even if it is negative.

What factors can affect total mechanical energy?

Total mechanical energy can be affected by factors such as the mass of an object, its velocity, and its position in a gravitational field. The presence of external forces, such as friction or air resistance, can also affect the total mechanical energy of an object.

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