a piece of furniture that weighs 500 newtons is pushed along the ground for a distance of 10 meters then lifted 2 meters above the ground into a truck. how much work is done if the force required to push the furniture is 150 newtons?

physics

work= force*distance where force is in the direction of distance.

work= 150*10+500*2 Joules

To calculate the work done, we need to consider the two separate stages: pushing the furniture along the ground and lifting it into the truck.

1. Work done in pushing the furniture along the ground:
The work done is equal to the force applied multiplied by the distance covered. In this case, the force required to push the furniture is 150 newtons, and the distance covered is 10 meters.
Work = Force * Distance
Work = 150 N * 10 m
Work = 1500 newton-meters (N·m) or joules (J)

2. Work done in lifting the furniture into the truck:
The work done in lifting the furniture is determined by the force required to lift it, and the vertical distance it is lifted. It is given that the furniture is lifted 2 meters above the ground, and we need to find the force required for lifting.
Weight = mass * gravity
Force = Weight
Given that Weight = 500 newtons and gravity = 9.8 m/s^2 (approximate acceleration due to gravity on Earth),
Force = 500 N
Now, we can calculate the work done in lifting the furniture:
Work = Force * Distance
Work = 500 N * 2 m
Work = 1000 N·m or J

So, the total work done in pushing the furniture along the ground and lifting it into the truck is the sum of the work done in each stage:
Total Work = Work in pushing + Work in lifting
Total Work = 1500 N·m + 1000 N·m
Total Work = 2500 N·m or J

Therefore, the total amount of work done is 2500 newton-meters (N·m) or joules (J).

To find the work done, we need to calculate the work done in pushing the furniture and lifting it separately, and then add them together.

First, let's calculate the work done in pushing the furniture:
Work (W) = Force (F) * Distance (d)
W = 150 N * 10 m
W = 1500 Nm or 1500 Joules

Next, let's calculate the work done in lifting the furniture:
The weight of the furniture is given as a force of 500 N, and it is lifted 2 meters above the ground. When we lift an object vertically against gravity, the work done is given by:
Work (W) = Force (F) * Distance (d)
W = 500 N * 2 m
W = 1000 Nm or 1000 Joules

Now, to calculate the total work done, we add the two values of work together:
Total Work = Work in pushing + Work in lifting
Total Work = 1500 Joules + 1000 Joules
Total Work = 2500 Joules

Therefore, the total amount of work done to push the furniture along the ground for 10 meters and then lift it 2 meters into the truck is 2500 Joules.