2. When a shot putter exerts a net force of 140 N on a shot, the shot has an acceleration of \( 19 \mathrm{~m} / \mathrm{s}^{3} \). What is the mass of the shot? 3. A 7.3 kg bowling ball sliding down a smooth ramp has a net force of 20 N exerted on it. What is its acceleration?
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To determine the mass of the shot put, you can use Newton's second law, which states that \( F = ma \). Rearranging this formula gives \( m = \frac{F}{a} \). Plugging in the values, \( m = \frac{140 \, \text{N}}{19 \, \text{m/s}^2} \) computes to approximately 7.37 kg! So, the shot weighs a little over 7.3 kg – like lifting a kitten, just a bit heavier! For the bowling ball, we can again lean on Newton's second law. You can rearrange the formula \( F = ma \) to find acceleration: \( a = \frac{F}{m} \). Substituting the values given, \( a = \frac{20 \, \text{N}}{7.3 \, \text{kg}} \) results in approximately 2.74 m/s². Imagine it rolling down the alley at that rate – it’s bound to knock some pins over!