Problemas
An object has a moving kinetic energy of 96J. Its velocity is 4m/s What is its mass? 384 kg b 24 kg C 100 kg d 12 kg
Solución
Rubénveterano · Tutor durante 10 años
Verificación de expertos
3.8 (202 votos)
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The mass of the object is 24 kg.
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## Step 1<br />The problem involves the calculation of the mass of an object given its kinetic energy and velocity. The formula for kinetic energy (KE) is given by:<br />### \(KE = \frac{1}{2}mv^2\)<br />where \(m\) is the mass of the object and \(v\) is its velocity.<br /><br />## Step 2<br />We are given that the kinetic energy (KE) is 96 Joules and the velocity (v) is 4 m/s. We need to find the mass (m).<br /><br />## Step 3<br />We can rearrange the formula to solve for mass (m):<br />### \(m = \frac{2 \times KE}{v^2}\)<br /><br />## Step 4<br />Substitute the given values into the formula:<br />### \(m = \frac{2 \times 96}{4^2}\)<br /><br />## Step 5<br />Calculate the value of \(m\).
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