Question

an object moving with a speed of 35 m/s and has a kinetic energy of 1500 j, what is the mass of the object?

Explanation:

Step1: Recall the kinetic energy formula

The formula for kinetic energy is \(K.E.=\frac{1}{2}mv^{2}\), where \(K.E.\) is kinetic energy, \(m\) is mass, and \(v\) is velocity.

Step2: Rearrange the formula to solve for mass

From \(K.E.=\frac{1}{2}mv^{2}\), we can solve for \(m\) as \(m = \frac{2K.E.}{v^{2}}\).

Step3: Substitute the given values

Given \(K.E. = 1500\ J\) and \(v=35\ m/s\). Substitute into \(m=\frac{2\times1500}{35^{2}}\).
First, calculate \(2\times1500 = 3000\), and \(35^{2}=35\times35 = 1225\).
Then \(m=\frac{3000}{1225}=\frac{120}{49}\approx2.45\ kg\).

Answer:

The mass of the object is approximately \(2.45\ kg\).