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23 A smart car weighs 4000 N . What is its mass in kg (with units)?

Ask by Marsh Harris. in the United States
Feb 19,2025

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The mass of the smart car is approximately 407.75 kg.

Solución

To find the mass of the smart car in kg, we can use the formula: \[ \text{Mass} = \frac{\text{Weight}}{g} \] where: - Mass is the mass of the object in kg (kg), - Weight is the weight of the object in Newtons (N), - \( g \) is the acceleration due to gravity, which is approximately 9.81 m/s². Given that the weight of the smart car is 4000 N, we can substitute the values into the formula to find the mass in kg. Calculate the value by following steps: - step0: Calculate: \(\frac{4000}{9.81}\) - step1: Convert the expressions: \(\frac{4000}{\frac{981}{100}}\) - step2: Multiply by the reciprocal: \(4000\times \frac{100}{981}\) - step3: Multiply: \(\frac{4000\times 100}{981}\) - step4: Multiply: \(\frac{400000}{981}\) The mass of the smart car is approximately 407.75 kg.

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To convert the weight of the smart car, which is given in newtons (N), to mass in kilograms (kg), you can use the formula: weight (N) = mass (kg) × gravity (m/s²). On Earth, gravity is approximately 9.81 m/s². So, rearranging the formula gives you mass = weight/gravity. For your smart car: mass = 4000 N / 9.81 m/s² ≈ 407.74 kg. So, the smart car has a mass of approximately 407.74 kg. Now, isn't it fascinating how weight and mass intermingle? The same principles apply to all objects – thanks to gravity's unwavering presence, we can nail down how heavy things are! Just think of all the varied objects you can weigh in newtons and convert to mass in kg!

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