To calculate the energy possessed by the body, we need to consider both its kinetic energy and potential energy.
- Kinetic Energy: The kinetic energy (KE) of an object can be calculated using the formula:
KE = 1/2 * mass * velocity^2
Given: Mass (m) = 30 kg Velocity (v) = 2 m/s
Substituting these values into the formula, we can calculate the kinetic energy:
KE = 1/2 * 30 kg * (2 m/s)^2 = 1/2 * 30 kg * 4 m^2/s^2 = 60 Joules (J)
Therefore, the kinetic energy possessed by the body is 60 Joules.
- Potential Energy: The potential energy (PE) of an object near the Earth's surface is given by:
PE = mass * gravity * height
Given: Mass (m) = 30 kg Height (h) = 5 m Acceleration due to gravity (g) = 9.8 m/s^2
Substituting these values into the formula, we can calculate the potential energy:
PE = 30 kg * 9.8 m/s^2 * 5 m = 1,470 Joules (J)
Therefore, the potential energy possessed by the body is 1,470 Joules.
The total energy possessed by the body is the sum of its kinetic energy and potential energy:
Total Energy = Kinetic Energy + Potential Energy = 60 J + 1,470 J = 1,530 Joules (J)
Therefore, the total energy possessed by the body is 1,530 Joules.