MECHANICS

Newton's First Law of Motion: Inertia

Linear Motion

Newton's Second Law: Force and Acceleration

Newton's Third Law: Action and Reaction

Momentum

Energy

Rotational Motion

Gravity

Projectile and Satellite Motion

MECHANICS

Newton's First Law of Motion: Inertia

Linear Motion

Newton's Second Law: Force and Acceleration

Newton's Third Law: Action and Reaction

Momentum

Energy

Rotational Motion

Gravity

Projectile and Satellite Motion

Newton's Second Law: Force and Acceleration

The acceleration of an object depends on the net force acting on it and its mass: F = ma.

Mode

Block mass (kg)

Hanging mass (kg)

Friction μ

0.00

Sign convention: +x = block to the right, +y = hanging mass downward

Given

m_{\mathrm{block}} = 2.00\,\mathrm{kg},\quad m_{\mathrm{hang}} = 7.00\,\mathrm{kg},\quad \mu = 0.00,\quad g = 9.81\,\mathrm{m/s}^2

Newton's 2nd law (system)

F_{\mathrm{net}} = m_{\mathrm{total}} \cdot a

m_{\mathrm{total}} = m_{\mathrm{block}} + m_{\mathrm{hang}} = 2.00 + 7.00 = 9.00\,\mathrm{kg}

Forces

F_{\mathrm{pull}} = m_{\mathrm{hang}} \cdot g = 7.00 \times 9.81 = 68.67\,\mathrm{N}

F_{\mathrm{fric}} = \mu N = 0\quad (\text{friction disabled})

F_{\mathrm{net}} = F_{\mathrm{pull}} - F_{\mathrm{fric}} = 68.67 - 0.00 = 68.67\,\mathrm{N}

Result

a = \frac{F_{\mathrm{net}}}{m_{\mathrm{total}}} = \frac{68.67}{9.00} = 7.63\,\mathrm{m/s}^2

$t = 0.00\,\mathrm{s}$

Force vs Time

Acceleration vs Time

Velocity vs Time