Final answer:
The work done by the motor in lifting a 5 kg mass 2 meters is calculated using the formula Work = Force x Distance. By applying a force equal to the weight of the mass (due to gravity), the total work done by the motor is found to be 98 joules.
Step-by-step explanation:
The question asks for the calculation of work done by a motor in lifting a mass. Work in physics is defined as the product of the force applied to an object and the distance over which the force is applied. Given that the motor has the electrical energy equivalent to 400 joules, the goal is to lift a 5 kg mass 2 meters. To calculate the work done by the motor, we utilize the formula:
Work = Force × Distance
The force can be determined by multiplying the mass (in kilograms) by the acceleration due to gravity, which is 9.8 m/s2 (the gravity constant on Earth). Hence, the force exerted by the mass due to gravity is:
Force = Mass × Gravity
Force = 5 kg × 9.8 m/s2
Force = 49 N
Subsequently, the work performed by the motor in lifting the mass over a distance of 2 meters is:
Work = Force × Distance
Work = 49 N × 2 m
Work = 98 joules
Comparing the work accomplished with the motor's energy capability, we find that the motor does 98 joules of work to lift the mass 2 meters, which is within its 400 joules capability.