2. 2000 N of force cause an elevator to accelerate at \( 2 \mathrm{~m} / \mathrm{s}^{2} \) ? What is the mass of the elevator? Force: Mass: Acceleration:
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To find the mass of the elevator, we can use Newton's second law, which states that Force (F) = mass (m) × acceleration (a). Rearranging gives us m = F/a. In this case, the force is 2000 N and the acceleration is \( 2 \mathrm{~m} / \mathrm{s}^{2} \). So, we have m = 2000 N / \( 2 \mathrm{~m} / \mathrm{s}^{2} \), which means the mass of the elevator is 1000 kg! When your elevator suddenly starts accelerating, it's essential to remember that it's not just the weight holding you down. That nifty force you're feeling is a combo of gravity and acceleration working together! As the elevator speeds up, you'll feel a little heavier, and if it slows down, you'll feel lighter—like your very own rollercoaster without the need for an amusement park!