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Buoyant Force Calculator

Calculate force vector resultants, Newton's laws (F = ma), friction, tension, and Hooke's spring force for buoyant force.

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Input Physical Parameters

Enter mass, force, or acceleration.

Calculated Net Force (F)

67.50 Newtons (N)
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Newton's Second Law

The net force acting on an object is directly proportional to its mass and its acceleration vector: F = m × a (1 Newton = 1 kg·m/s²).

Calculation Methodology & Details

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Formula

Net Force: F_net = m × a Friction Force: F_f = μ × F_N Hooke's Spring Law: F = -k × Δx Gravitational Force: F = G × (m₁m₂ / r²)

Applies Newton's classical laws of motion, universal gravitation, and continuum mechanical force vectors.

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Important Disclaimer

Calculations assume ideal rigid body mechanics and constant friction coefficients unless non-linear drag or elastic limits are specified.

How to Calculate Step-by-Step

Follow these steps to complete the calculation:

1

Step 1

Enter mass m in kilograms or weight force in Newtons.

2

Step 2

Set acceleration rate a (m/s²), friction coefficient μ, or spring constant k (N/m).

3

Step 3

View net force output in Newtons (N), stopping distance in meters, or work done by friction in Joules.

Detailed Insights & Expert Guide

ℹ️ About this Calculation

The Buoyant Force Calculator calculates force dynamics, acceleration, friction work, drag forces, spring elasticity, and vehicle stopping distance for mechanical engineering and physics studies.

Variable Glossary

Input

Mass (m)

Quantity of matter in the physical body measured in kilograms.

Parameter

Normal Force (F_N)

Perpendicular contact force exerted by a supporting surface against an object.

FAQ

How is stopping distance calculated in a car crash or braking test?
Total stopping distance = Perception-reaction distance (v × t_reaction) + Braking distance (v² / [2 × μ × g]). High speeds non-linearly increase braking distance due to the v² term.
What is the difference between static and kinetic friction?
Static friction (μ_s) prevents an object at rest from moving until applied force exceeds μ_s × F_N. Kinetic friction (μ_k) opposes motion once the object is already sliding (typically μ_s > μ_k).
What is Hooke's Law for springs?
Hooke's Law states that restoring spring force is linearly proportional to displacement: F = -k × x, where k is the spring stiffness constant (N/m) and x is compression/extension from equilibrium.