4. A ski jumper starts at the top of a 400m high hill before skiing down to the bottom. The ski jumper has a mass of 75kg. If after 10 seconds the skier is going 15m/s how much kinetic energy would the skier have?

A. 16,875.0 J
B. 8,437.5 J
C. 112.5 J
D. 562.5 J

Respuesta :

Lanuel

Answer:

B. 8,437.5 J

Explanation:

Given the following data;

Height = 400m

Mass = 75kg

Velocity = 15m/s

Time = 10 secs

To find the kinetic energy of the skier?

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

[tex] K.E = \frac{1}{2}MV^{2}[/tex]

Where;

  • K.E represents kinetic energy measured in Joules.
  • M represents mass measured in kilograms.
  • V represents velocity measured in metres per seconds square.

Substituting into the equation, we have;

[tex] K.E = \frac{1}{2}*75*15^{2}[/tex]

[tex] K.E = 37.5*225[/tex]

K.E = 8,437.5 Joules.

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