Physics

Problem

A space-probe is to be launched from a small moon where the escape speed is

50\,\text{m\!/s}

. Consider the following two probes: a. (i) Probe A has a mass of

2.0\,\text{kg}

and is launched at

0.60

times the escape speed. Calculate its kinetic energy at launch. b. (ii) Probe B is launched with a speed of

80\,\text{m\!/s}

and is required to have the same kinetic energy as Probe A. Determine the mass of Probe B that will satisfy this condition. c. (iii) If Probe B were instead launched at

0.80

times the escape speed while still needing to match the kinetic energy of Probe A, what would its mass have to be?

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