In a new unit system one unit of time is equal to 10 second and one unit of mass is a equal to 5 kg and 1 unit of length is equal to 20 m in the new system of units 1 unit of energy is equal to?
In a new unit system one unit of time is equal to 10 second and one unit of mass is a equal to 5 kg and 1 unit of length is equal to....?
- Thread starter LiveDoubtClearing
- Start date
Sneha Duhan
Well-known member
the new unit system, one unit of energy is equal to 20 Joules.
Here's how to calculate that:
Energy Formula: Energy (E) is calculated as force (F) times distance (d): E = F * d.
Force: Force is mass (m) times acceleration (a): F = m * a.
Acceleration: Acceleration is change in velocity (v) over time (t): a = v/t.
Velocity: Velocity is distance (d) over time (t): v = d/t.
Combining the formulas: E = m * (d/t) * d = m * d²/t².
New units:
1 unit of time = 10 seconds
1 unit of mass = 5 kg
1 unit of length = 20 meters
Substituting into the energy formula:
E = (5 kg) * (20 m)² / (10 s)²
E = 5 * 400 / 100
E = 20 Joules.
Here's how to calculate that:
Energy Formula: Energy (E) is calculated as force (F) times distance (d): E = F * d.
Force: Force is mass (m) times acceleration (a): F = m * a.
Acceleration: Acceleration is change in velocity (v) over time (t): a = v/t.
Velocity: Velocity is distance (d) over time (t): v = d/t.
Combining the formulas: E = m * (d/t) * d = m * d²/t².
New units:
1 unit of time = 10 seconds
1 unit of mass = 5 kg
1 unit of length = 20 meters
Substituting into the energy formula:
E = (5 kg) * (20 m)² / (10 s)²
E = 5 * 400 / 100
E = 20 Joules.
