InertioNewton’s Second LawMug
Inertio – Newton’s Second Law Physics Mug
- Size
- 11oz · 15oz
- Made
- To order · shipping times
Why is a full shopping cart harder to start than an empty one? Inertio stands firm. Newton’s second law, F = ma, says the net force on a body equals its mass times its acceleration. Double the mass and you need double the force for the same change in motion. Pixel-art black ceramic mug in 11 or 15 oz; equation, symbols and sources in the physics panel below.
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Details
Size & material11oz · 15oz
Black glossy ceramic mug with a C-handle. Lead- and BPA-free.
- 11oz: 0.33 l
- 15oz: 0.44 l
CareDishwasher & microwave safe
Dishwasher safe (top rack) or hand wash. Microwave safe.
ShippingFree US
Free US shipping. $10 flat shipping outside the US.
Made to order: about 10 days of production and handling before it ships.
Returns & replacements21 days
Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.
Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.
∂ The physics
Inertio does not move unless you make him, and he makes you work for it.
Newton's second law, the first line, says the net force on a body equals its mass times its acceleration. Net matters: it is the sum of every push and pull. A cart rolling at steady speed on a level floor can have zero net force on it and keep rolling.
Mass is what resists the change. Fill a shopping cart and it takes twice the push to start it as quickly as when it held half as much. That resistance is inertia, and m measures it.
The second line is Newton's own way of putting it: force is the rate of change of momentum. For a body of fixed mass the two forms are the same. The law holds in non-accelerating frames, for speeds far below light and for objects much larger than atoms; beyond that, relativity and quantum mechanics take over.
PUSH ME. I DARE YOU. Inertio will move. Exactly as much as the net force says, and not a bit more.
Equations
| Symbol | Meaning | Unit |
|---|---|---|
| \(\vec F_{\text{net}}\) | net (total) external force on the body | \(\mathrm{N}\) |
| \(m\) | mass | \(\mathrm{kg}\) |
| \(\vec a\) | acceleration | \(\mathrm{m/s²}\) |
| \(\vec p\) | momentum | \(\mathrm{kg·m/s}\) |
| \(\vec v\) | velocity | \(\mathrm{m/s}\) |
| \(t\) | time | \(\mathrm{s}\) |
Field notes
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