Ateam of astronauts is on a mission to land on and explore a large asteroid. in addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. with what minimum initial speed will the rocks need to be thrown in order for them never to "fall" back to the asteroid

v = √(2G M / )

Explanation:

To find the escape velocity we can use the concept of conservation of mechanical energy, where we take at two points one on the surface of the asteroid and another distant point

Initial

      Em₀ = K = ½ mv² - G m M /

Final

      = U = - G m M /

Where G is the universal gravitation constant value of  6.67 10⁻¹¹ Nm²/kg², M the mass of the asteroid and r is the distance from the stone to the asteroid

     Em₀ =  

     ½ mv² - G m M / = - G m M /

let's solve

      ½ v² = G M (1 / -1 / )

The maximum distance value can be made infinite, so the last term becomes zero, so the escape velocity is

     v = √(2G M / )

where we assume that we know the mass and radius of the asteroid

5 w for 1hr = 5x60x60 joules=300x60=3000x6=18,000j as total energy conversion. efficiency of bulb needed for radiant to thermal within 18000

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

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