Answer :
If an object with a mass of 245 kg is moved 76 meters in 18 seconds, the power used to move the object is approximately 10162 watts.
The power used to move an object can be calculated using the formula:
Power = Work/Time
The work done to move an object can be calculated using the formula:
Work = Force × Distance
In this case, the force required to move the object can be calculated using Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration:
ΣF = ma
Since the object is moving in a straight line with a constant velocity, its acceleration is zero, and the net force acting on it is also zero. Therefore, the force required to move the object is equal to its weight, which can be calculated using:
Weight = mass × gravity
where gravity is the acceleration due to gravity, which is approximately9.81 m/s^2.
Substituting the given values, we get:
Weight = 245 kg × 9.81 m/s^2 = 2404.45 N
The work done to move the object can be calculated using:
Work = Force × Distance
Substituting the given values, we get:
Work = 2404.45 N × 76 m = 182917 J
The power used to move the object can be calculated using:
Power = Work/Time
Substituting the given values, we get:
Power = 182917 J / 18 s ≈ 10162 W
Therefore, the power used to move the object is approximately 10162 watts.
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