Problemas
4. An object moving with a speed of 35m/s and has a kinetic energy of 1500 J,what is the mass of the object.
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Juanprofessionell · Tutor durante 6 años
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To find the mass of the object, we can use the formula for kinetic energy:<br /><br />\[ KE = \frac{1}{2}mv^2 \]<br /><br />where:<br />- \( KE \) is the kinetic energy,<br />- \( m \) is the mass,<br />- \( v \) is the velocity.<br /><br />Given:<br />- \( KE = 1500 \, \text{J} \)<br />- \( v = 35 \, \text{m/s} \)<br /><br />We need to solve for \( m \):<br /><br />\[ 1500 = \frac{1}{2}m(35)^2 \]<br /><br />First, calculate \( (35)^2 \):<br /><br />\[ 35^2 = 1225 \]<br /><br />Now, substitute this back into the equation:<br /><br />\[ 1500 = \frac{1}{2}m \cdot 1225 \]<br /><br />Multiply both sides by 2 to isolate \( m \cdot 1225 \):<br /><br />\[ 3000 = m \cdot 1225 \]<br /><br />Finally, divide both sides by 1225 to solve for \( m \):<br /><br />\[ m = \frac{3000}{1225} \]<br /><br />\[ m \approx 2.45 \, \text{kg} \]<br /><br />So, the mass of the object is approximately \( 2.45 \, \text{kg} \).
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