# What is the meaning of #e= mc^2#?

This is the famous mass energy equation by Albert Einstein.

Light travels at a speed of approximately 300,000 km/s in vacuum, and the formula for this velocity is e= energy M= mass. Mass can be transformed into energy and vice versa.

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The equation (E=mc^2) is Einstein's famous mass-energy equivalence formula, where (E) represents energy, (m) represents mass, and (c) represents the speed of light in a vacuum. It states that energy ((E)) is directly proportional to mass ((m)) times the speed of light ((c)) squared. This equation shows that mass and energy are interchangeable and that a small amount of mass can be converted into a large amount of energy, as demonstrated in nuclear reactions.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- The force applied against an object moving horizontally on a linear path is described by #F(x)=xe^x+ 1/x #. By how much does the object's kinetic energy change as the object moves from # x in [ 1, 3 ]#?
- How much work does it take to push an object with a mass of #2 kg# up a #7 m# ramp, if the ramp has an incline of #(11pi)/12 # and a kinetic friction coefficient of #8 #?
- A ball with a mass of #150 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #9 (kg)/s^2# and was compressed by #3/5 m# when the ball was released. How high will the ball go?
- An object with a mass of #2 kg# is hanging from an axle with a radius of #3 m#. If the wheel attached to the axle has a radius of #14 m#, how much force is needed to raise the object?
- The force applied against a moving object travelling on a linear path is given by #F(x)= sinx + 1 #. How much work would it take to move the object over #x in [ 0,pi/12 ] #?

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