Answer:
Mass, M = 0.75kg
Step-by-step explanation:
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)](https://img.qammunity.org/2021/formulas/physics/high-school/iuc1uen02q42c2v0ewajqzopoqqses13zj.png)
Where, K.E represents kinetic energy measured in Joules.
M represents mass measured in kilograms.
V represents velocity measured in metres per seconds square.
Given the following data;
Kinetic energy = 150J
Velocity = 20m/s
Making mass the subject formula;
![M = (2K.E)/(V^(2))](https://img.qammunity.org/2021/formulas/physics/high-school/dunhg6qzkbo825ndw57r05sy3e2bmc3kfa.png)
Substituting into the equation, we have;
![M = (2*150)/(20^(2))](https://img.qammunity.org/2021/formulas/physics/high-school/k7apvye8pl69dlmizn9sl84xc4eieetgoj.png)
![M = (300)/(400)](https://img.qammunity.org/2021/formulas/physics/high-school/7p0pqyc0ags5ty9k4j79pjyulaa4hamull.png)
Mass, M = 0.75kg