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An object is moving at a speed of 5m/s and has 100 J of kinetic energy.Calculate the mass of this object . Use the symbol equation below to help you. Enter a number kg E_(k)=(1)/(2)mv^2

Question

An object is moving at a speed of 5m/s
and has 100 J of kinetic energy.Calculate
the mass of this object . Use the symbol
equation below to help you.
Enter a number
kg
E_(k)=(1)/(2)mv^2

An object is moving at a speed of 5m/s and has 100 J of kinetic energy.Calculate the mass of this object . Use the symbol equation below to help you. Enter a number kg E_(k)=(1)/(2)mv^2

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StuartMaster · Tutor for 5 years

Answer

The mass of the object is \(8 \, \mathrm{kg}\).

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## Step 1: Understand the problem<br />The problem provides us with the kinetic energy \(E_k = 100 \, \mathrm{J}\) and the speed \(v = 5 \, \mathrm{m/s}\) of an object. We are asked to find the mass \(m\) of the object. We can use the given formula for kinetic energy to solve for the mass.<br /><br />## Step 2: Rearrange the formula<br />The formula for kinetic energy is \(E_k = \frac{1}{2} m v^2\). We can rearrange this formula to solve for the mass \(m\), which gives us \(m = \frac{2E_k}{v^2}\).<br /><br />## Step 3: Substitute the given values into the formula<br />Substitute the given values of kinetic energy and speed into the formula. This gives us \(m = \frac{2 \times 100 \, \mathrm{J}}{(5 \, \mathrm{m/s})^2}\).<br /><br />## Step 4: Perform the calculation<br />Perform the calculation to find the mass of the object.
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