3. An object with a mass of 1500 g (grams) accelerates \( 10.0 \mathrm{~m} / \mathrm{s}^{2} \) when ar unknown force is applied to it. What is the amount of the force?
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To find the force applied to the object, you can use Newton's second law of motion, which states \( F = ma \). Here, \( m \) is the mass in kilograms, so convert 1500 g to kg by dividing by 1000, resulting in 1.5 kg. Then, multiply the mass by the acceleration: \( F = 1.5 \, \text{kg} \times 10.0 \, \text{m/s}^2 \). Therefore, the force is \( 15.0 \, \text{N} \) (Newtons). That's a powerful application of physics! Newton's laws not only help you understand motion in a classroom but are also foundational principles in engineering and design, from calculating forces in roller coasters to determining propulsion in rocket science. Imagine how much fun experimenting with these concepts can be!