Zak, helping his mother rearrange the furniture
in their living room, moves a 42.3 kg sofa
7.2 m with a constant force of 17 N.
A. What is the work done by Zak on the sofa?
Neglect friction.
Answer in units of J.
B. What is the average acceleration of the sofa?
Answer in units of m/s^2
Disagree. He still pushed 7.2 m @17 N.
W = Fd
A. To calculate the work done by Zak on the sofa, we can use the formula:
Work = Force x Distance
Given:
Force = 17 N
Distance = 7.2 m
Plugging in these values into the formula, we get:
Work = 17 N x 7.2 m
= 122.4 J
Therefore, the work done by Zak on the sofa is 122.4 Joules (J).
B. To calculate the average acceleration of the sofa, we can use the formula:
Average acceleration = Change in velocity / Time taken
However, we don't have information about the time taken or the change in velocity. Therefore, we cannot calculate the average acceleration based on the given information.
A. To find the work done by Zak on the sofa, we can use the formula:
Work = Force × Distance × cos(θ)
Where:
- Work is the amount of work done (in joules, J)
- Force is the applied force by Zak (in newtons, N)
- Distance is the distance the sofa is moved (in meters, m)
- θ is the angle between the applied force and the direction of motion (in this case, it is 0° as the force is applied in the same direction as the motion)
Given:
- Force = 17 N
- Distance = 7.2 m
- θ = 0° (cos(θ) = 1)
Plug in the values into the formula:
Work = 17 N × 7.2 m × 1
Work = 122.4 J
Therefore, the work done by Zak on the sofa is 122.4 J.
B. To find the average acceleration of the sofa, we can use the formula:
Average Acceleration = Change in Velocity / Time
However, in this case, we need some additional information to calculate the acceleration. We would need to know either the time taken to move the sofa or the initial and final velocities of the sofa. Please provide the missing information to calculate the average acceleration.
neglect fricion: no work.
a. he did no work, if there is no friction.
b. F=ma solve for a.