Zak, helping his mother rearrange the furniture in their living room, moves a 58.3 kg sofa 7.7 m with a constant force of 25 N.
What is the work done by Zak on the sofa?
Neglect friction.
Answer in units of J.
What is the average acceleration of the sofa?
Answer in units of m/s^2
To calculate the work done by Zak on the sofa, we can use the formula:
Work = force * distance
Given that Zak applies a constant force of 25 N and moves the sofa a distance of 7.7 m, we can substitute these values into the formula:
Work = 25 N * 7.7 m
Work = 192.5 J
Therefore, the work done by Zak on the sofa is 192.5 Joules (J).
To calculate the average acceleration of the sofa, we need to use Newton's second law of motion:
Force = mass * acceleration
We're given the mass of the sofa as 58.3 kg, and since there is no mention of any other forces acting on the sofa and friction is neglected, we can consider the force applied by Zak as the only force acting on the sofa.
Therefore, we can rearrange the formula to solve for acceleration:
Acceleration = Force / Mass
Substituting the values, we have:
Acceleration = 25 N / 58.3 kg
Acceleration ≈ 0.429 m/s^2
So, the average acceleration of the sofa is approximately 0.429 m/s^2.
To calculate the work done by Zak on the sofa, we can use the formula:
Work = Force * Distance
Given that the force applied by Zak is 25 N and the distance moved is 7.7 m, we can calculate the work:
Work = 25 N * 7.7 m = 192.5 J
So, the work done by Zak on the sofa is 192.5 Joules (J).
To calculate the average acceleration of the sofa, we can use the formula:
Acceleration = (Final Velocity - Initial Velocity) / Time
Since the question does not provide any information about the time it took to move the sofa, we cannot calculate the acceleration with the given information.