Answer to Question #194539 in Classical Mechanics for Kate McClue

Question

1.     A student of mass 50kg climbs the college stairs using 2500J of energy, calculate the height of the stairs.

1.     An astronaut of mass 70 kg climbs to a height of 5 m on the moon and gains 560 J of gravitational potential energy. What must be the gravitational field strength on the moon?

1.     What is the speed of a stone of mass 2 kg if it has 36 J of kinetic energy?

Answer 1

1)

$h=\frac{E}{mg}=5~m,$

2)

$g=\frac{E}{mh}=1.6~\frac{N}{kg},$

3)

$v=\sqrt{\frac{2E}{m}}=6~\frac ms.$