Question

10. A 50 kg bicyclist on a 10 kg bicycle speeds up from 5.0 m/s to 10 m/s.

(a) What was the total kinetic energy before accelerating? Full working out​

Answer 1

T.K.E = 750 Joules.

Step-by-step explanation:

Given the following data;

Initial velocity, u = 5m/s

Final velocity, v = 10m/s

Mass of bicyclist = 50kg

Mass of bicycle = 10kg

Total mass, Tm = 50 + 10 = 60kg

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 = (1)/(2)mv^(2)`

Where;

K.E represents kinetic energy measured in Joules.

m represents mass measured in kilograms.

v represents velocity measured in metres per seconds square.

To find the total kinetic energy before accelerating simply means the kinetic energy due to the initial velocity and total mass;

`T.K.E = (1)/(2)T_(m)U^(2)`

Substituting into the equation, we have;

`T.K.E = (1)/(2)*60*5^(2)`

`T.K.E = 30*25`

T.K.E = 750 Joules.