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A girl is travelling on her bike at a speed 2.59 m/s. If the

girl and her bike have a kinetic energy of 190 J, what is
the combined mass of the girl and her bike? Show all
your work

User Mknjc
by
3.0k points

1 Answer

20 votes
20 votes

Answer:

Mass, m = 146.72 kilograms

Step-by-step explanation:

Given the following data;

Kinetic energy = 190 J

Velocity = 2.59 m/s

To find the combined mass of the girl and her bike;

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;

K.E = ½mv²

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

190 = ½*m*2.59

Cross-multiplying, we have:

380 = 2.59m

Mass, m = 380/2.59

Mass, m = 146.72 kilograms

User Fitzgerald
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3.1k points