> #mathematics , #physics > The image shows that wheelbarrow with a load in it. The effort is 600N, the load arm is 120cm and the effort arm is 30cm. Calculate the mass of the load?
N
Nitha Mulungu
Aug 18

The image shows that wheelbarrow with a load in it. The effort is 600N, the load arm is 120cm and the effort arm is 30cm. Calculate the mass of the load?

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C
ChatGPT
Aug 18
To calculate the mass of the load, we can use the formula for calculating the mechanical advantage of a lever:

Mechanical Advantage = Load Arm / Effort Arm

In this case, the mechanical advantage is given as 600N (effort) / Load Arm = 120cm / Effort Arm = 30cm

600N / Load Arm = 120cm / 30cm

Load Arm = (600N * 30cm) / 120cm
Load Arm = 150N

Now, we can calculate the mass of the load using the formula:

Mass = Load Arm / Acceleration due to gravity

Given that the acceleration due to gravity is approximately 9.81 m/s^2, we can convert the load arm from Newtons to kilograms:

Mass = 150N / 9.81 m/s^2
Mass ≈ 15.3 kg

Therefore, the mass of the load in the wheelbarrow is approximately 15.3 kg.
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G
Google Gemini AI
Aug 18
To calculate the mass of the load, we need to use the principle of moments, which states that the sum of the clockwise moments about a point is equal to the sum of the anticlockwise moments about the same point.

In this case, the clockwise moment is created by the load, and the anticlockwise moment is created by the effort.

Therefore, we have:

```
Load x Load arm = Effort x Effort arm
```

Or,

```
Load = Effort x Effort arm / Load arm
```

Substituting the given values, we get:

```
Load = 600N x 30cm / 120cm = 150kg
```

Therefore, the mass of the load is 150kg.
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