Given kinetic energy and momentum, find mass and speed

Thread starter okool
Start date Nov 8, 2011
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Energy Kinetic Kinetic energy Mass Momentum Speed

AI Thread Summary

To find the mass and speed of an object with a kinetic energy of 293 J and momentum of 26.7 kg·m/s, the relevant equations are kinetic energy (K = 1/2 mv^2) and momentum (P = mv). By equating these formulas, two equations can be established with the unknowns being mass (m) and speed (v). Solving these simultaneous equations will yield the required values for mass and speed. Understanding the relationship between kinetic energy and momentum is key to solving the problem effectively.

Nov 8, 2011

okool

Homework Statement

An object has a kinetic energy of 293 J and a momentum of magnitude 26.7 kg·m/s. Find the speed and the mass of the object.

I don't know what equations I need...I know K=1/2mv^2 and P=Fv but I don't know how to relate them

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Nov 8, 2011

rock.freak667

Homework Helper

Since you know the formulas, just equate them. You will have two equations with two unknowns to solve simultaneously.

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