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
Answer
4.5
(305 Votes)
Stuart
Master · Tutor for 5 years
Answer
The mass of the object is
.
Explanation
## Step 1: Understand the problemThe problem provides us with the kinetic energy
and the speed
of an object. We are asked to find the mass
of the object. We can use the given formula for kinetic energy to solve for the mass.## Step 2: Rearrange the formulaThe formula for kinetic energy is
. We can rearrange this formula to solve for the mass
, which gives us
.## Step 3: Substitute the given values into the formulaSubstitute the given values of kinetic energy and speed into the formula. This gives us \(m = \frac{2 \times 100 \, \mathrm{J}}{(5 \, \mathrm{m/s})^2}\).## Step 4: Perform the calculationPerform the calculation to find the mass of the object.