1D two-body collision
API · /momentum-api
Momentum & Collision API
healthy
3,432 Subscribers
Linear momentum, impulse and one-dimensional collisions as an API, computed locally and deterministically. The momentum endpoint computes the linear momentum p = m·v of a moving body, with its kinetic energy, and solves for whichever of the mass, velocity or momentum you leave out. The impulse endpoint applies the impulse-momentum theorem, J = F·Δt = m·Δv = Δp: from a force and a time it gives the impulse and, with a mass, the change in velocity; or from a mass and a velocity change it gives the impulse and the average force over a contact time — the physics of a bat hitting a ball or an airbag softening a crash. The collision endpoint solves a head-on collision between two bodies using conservation of momentum and a coefficient of restitution: e = 1 for a perfectly elastic collision (kinetic energy conserved), e = 0 for a perfectly inelastic one (the bodies stick together), or any value between for a partially inelastic collision — returning both final velocities, the conserved total momentum, the kinetic energy before and after, and the energy lost. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics-education and simulation tools, game and ballistics engines, vehicle-crash and sports apps, and engineering-dynamics software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is linear momentum and collisions; for rotational angular momentum and flywheel energy use a flywheel API.
api.oanor.com/momentum-api
API health
healthy- Uptime
- 100.00%
- Server probes · 24h
- Avg latency
- 90 ms
- Server probes · 24h
- Subscribers
- 3,432
- active
- Total calls
- 32
- last 7 days
Pricing
Pick a tier — billed monthly, cancel anytime.
Free
Free
- 3,000 calls / month
- 2 requests / second
- Hard cap (429 above quota, no overage)
- Linear momentum p = m*v endpoint
- Impulse J = F*t calculation
- 1D collision solver (elastic case)
- SI units, JSON responses
Starter
€5.00 /month
- 40,000 calls / month
- 5 requests / second
- Hard cap (429 above quota, no overage)
- All momentum and impulse endpoints
- Elastic and inelastic 1D collisions
- Conservation-of-momentum verification
- Email support
Pro
€15.00 /month
- 250,000 calls / month
- 15 requests / second
- Hard cap (429 above quota, no overage)
- Full collision suite incl. coefficient of restitution
- Batch request support
- Step-by-step solution breakdown for teaching
- Priority support
Mega
€49.00 /month
- 1,595,000 calls / month
- 50 requests / second
- Hard cap (429 above quota, no overage)
- Highest throughput for courseware and LMS integrations
- Unlimited collision scenario combinations
- Bulk/batch computation endpoints
- SLA-backed priority support
Built by
Related APIs
Other APIs with overlapping tags.
Birthday Paradox API
Birthday-paradox and collision-probability maths as an API, computed locally and deterministically. The probability endpoint computes the chance that at least two of n people share a birthday among d equally likely days, P = 1 − Π(1 − i/d), evaluated in log space for accuracy — the famous result that just 23 people give about a 50.7 % chance, 50 people about 97 % and 70 people about 99.9 %. The people-needed endpoint inverts it: the smallest group size to reach a target probability (23 for 50 %, 57 for 99 %), with the √(2·d·ln(1/(1−p))) approximation. The collision endpoint generalises the birthday bound to any space — pass a number of buckets or a hash size in bits — and returns the collision probability P ≈ 1 − e^(−n²/2d), the rule behind hash collisions and UUID-uniqueness estimates, where a 50 % chance needs roughly 1.177·√d items. Days and buckets default to 365. Everything is computed locally and deterministically, so it is instant and private. Ideal for probability-education, security, cryptography, hashing, data-engineering and statistics app developers, collision-risk and birthday-problem tools, and teaching material. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is the birthday/collision probability; for full distributions use a probability API.
api.oanor.com/birthdayparadox-api
Center of Mass API
Centre-of-mass and barycentre mechanics as an API, computed locally and deterministically. The point-masses endpoint computes the centre of mass of a system of point masses in one, two or three dimensions, applying x_com = Σ(m_i·x_i)/Σm_i to each axis from a list of masses and their x (and optional y and z) coordinates — masses of 1, 2 and 3 at positions 0, 1 and 2 give a centre of mass at 1.333, and four equal masses at the corners of a square sit at its centre. The two-body endpoint computes the barycentre of two masses separated by a distance, r1 = d·m2/(m1+m2) from the first body, which always lies closer to the heavier one — for the Earth-Moon system the barycentre is about 4 670 km from Earth’s centre, still inside the planet. Lists may be passed as comma-separated values (masses=1,2,3&x=0,1,2) or as JSON arrays in a POST body, and units are consistent and unit-agnostic. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics, engineering-statics, astronomy, robotics, game-physics and mechanics-education app developers, balance-point and barycentre tools, and simulation software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 2 endpoints. This is the centre of mass; for the rotational moment of inertia use a moment-of-inertia API.
api.oanor.com/centerofmass-api
Moment of Inertia API
Rigid-body rotational-inertia mechanics as an API, computed locally and deterministically. The shape endpoint returns the mass moment of inertia and the radius of gyration k = √(I/m) for a named standard body about its characteristic axis — a solid sphere (I = 2/5·m·r²), thin spherical shell (2/3·m·r²), solid cylinder or disk (1/2·m·r²), annular/hollow cylinder (1/2·m·(r1²+r2²)), thin ring (m·r²), thin rod about its centre (1/12·m·l²) or about one end (1/3·m·l²), rectangular plate or cuboid (1/12·m·(a²+b²)), solid cone (3/10·m·r²) and point mass (m·r²) — so a 2 kg solid sphere of radius 0.5 m has I = 0.2 kg·m². The parallel-axis endpoint applies the Steiner theorem I = I_cm + m·d² to shift a moment of inertia from the centre-of-mass axis to any parallel axis a distance d away. The shapes endpoint lists the whole catalog with its formulas. All quantities are SI (kg, m → kg·m²). Everything is computed locally and deterministically, so it is instant and private. Ideal for mechanical-engineering, robotics, CAD/CAE, rotating-machinery, structural-dynamics and physics-education app developers, flywheel-and-shaft design tools, and simulation software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is rotational inertia; for stored rotational energy and flywheel sizing use a flywheel API and for torque and angular acceleration a torque API.
api.oanor.com/momentofinertia-api
Kinematics SUVAT API
Kinematics (SUVAT) maths as an API, computed locally and deterministically. The solve endpoint takes any three of the five constant-acceleration variables — initial velocity u, final velocity v, acceleration a, time t and displacement s — and returns the other two, picking the right equation among v = u + at, s = ut + ½at², s = ½(u+v)t, v² = u² + 2as and s = vt − ½at² automatically. The freefall endpoint computes the fall time, distance and impact velocity for a vertical drop from a height (or over a given time), with an adjustable gravity and optional initial velocity, no air resistance. The stopping endpoint computes reaction, braking and total stopping distance and braking time for a vehicle from its speed and either a deceleration or a road-surface friction coefficient (a = μ·g), with an optional reaction time. Everything is computed locally and deterministically, so it is instant and private. Ideal for physics-education, engineering, simulation, automotive and game-development app developers, motion and braking-distance tools, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is linear-motion SUVAT; for projectile launch and trajectory use a projectile API and for momentum and collisions a momentum API.
api.oanor.com/kinematics-api
Frequently asked questions
Quick answers about pricing, quotas, and integration.
How do I get an API key for Momentum & Collision API?
Sign up for free at oanor.com, generate an API key from the developer dashboard, and call Momentum & Collision API with the x-oanor-key header. No credit card needed for the free tier.
What's the rate limit for Momentum & Collision API?
Free tier allows 1 request per second. Paid plans scale up to 50 requests per second on the Mega tier. Hard limits return HTTP 429 above the quota — no surprise overage charges.
How much does Momentum & Collision API cost?
Momentum & Collision API has a free tier with 100 calls / month. Paid plans start at €5.00 / month with higher quotas and faster rate limits.
Can I cancel my subscription anytime?
Yes. Plans are billed monthly and you can cancel anytime from your billing dashboard. No long-term contracts and no cancellation fee.
Is Momentum & Collision API GDPR-compliant?
All requests to Momentum & Collision API go through our EU-based gateway. Your upstream API key never leaves our server and no personal data is shared with the upstream provider beyond the request you send.
Pick an endpoint from the list on the left to see its details and try it.
Code snippets
Sign up to get an API key, then call any path under your slug.
curl https://api.oanor.com/momentum-api/SOME_PATH \
-H "x-oanor-key: oanor_test_..."const res = await fetch("https://api.oanor.com/momentum-api/SOME_PATH", {
headers: { "x-oanor-key": "oanor_test_..." }
});
const data = await res.json();$ch = curl_init("https://api.oanor.com/momentum-api/SOME_PATH");
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
curl_setopt($ch, CURLOPT_HTTPHEADER, ["x-oanor-key: oanor_test_..."]);
$response = curl_exec($ch);import requests
r = requests.get(
"https://api.oanor.com/momentum-api/SOME_PATH",
headers={"x-oanor-key": "oanor_test_..."},
)
print(r.json())Ratings
Sign in to rate.
No reviews yet.
Discussion
Ask questions, share usage tips, get answers from the provider and other developers. Public — anyone can read.
Sign in to start a thread or reply.
Sign inNew thread
📌 Pinned
🔒 Locked
·
·
·
-
Provider answer
🔒 This thread is locked — no new replies.
-
·
- No threads yet — start the discussion.
Support
Private 1:1 support with the provider — billing questions, integration issues, account problems. Only you and the provider team can see these threads.
Sign in to open a support ticket.
Sign inOpen new ticket
Describe what you need help with. The provider team gets an email and replies on the ticket page.
-
·
Urgent - No tickets yet for this API.