# Are these three formulas correct?

##
If Force = #F# ,

Acceleration = #a# ,

and Mass = #m#

does that mean

Force = #m# #xx# #a#

Acceleration = #F/m#

Mass = #F/a#

or did I include a mistake in my work?

If Force =

Acceleration =

and Mass =

does that mean

Force =

Acceleration =

Mass =

or did I include a mistake in my work?

These are all correct!

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Correct mathematical representation of the last formula is

Similarly, to be precise one may also write the remaining two expressions as

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To provide an accurate answer, I need to know what three formulas you are referring to. Please provide the formulas, and I'll be happy to verify their correctness.

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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.

- A spring with a constant of #6# #kgs^-2# is lying on the ground with one end attached to a wall. An object with a mass of #3# #kg# and speed of #4# #ms^-1# collides with and compresses the spring until it stops moving. How much will the spring compress?
- If an object with a mass of # 3kg # changes speed from #5m/s# to # 6m/s#, by how much does its kinetic energy change?
- What is the gravitational potential energy of a # 10 kg# object on a shelf # 14 m # high?
- An object with a mass of #3 kg# is hanging from an axle with a radius of #14 m#. If the wheel attached to the axle has a radius of #21 m#, how much force is needed to raise the object?
- A balanced lever has two weights on it, the first with mass #12 kg # and the second with mass #36 kg#. If the first weight is # 4 m# from the fulcrum, how far is the second weight from the fulcrum?

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