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The relationship between energy E possessed by an object of mass m kg travelling with speed of v m/s is given by the formula E =1/2 mv².
Express m in terms of E and v and find the mass of an object whose energy and speed are 1800 joules and 25 m/s,respectively?

Respuesta :

Answer:

m = 5.76 Kg

Step-by-step explanation:

Given

E = [tex]\frac{1}{2}[/tex] mv²

Multiply both sides by 2 to clear the fraction

2E = mv² ( divide both sides by v² )

[tex]\frac{2E}{v^{2} }[/tex] = m

When E = 1800 and v = 25, then

m = [tex]\frac{2(1800)}{25^{2} }[/tex] = [tex]\frac{3600}{625}[/tex] = 5.76 Kg

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