Newton's Laws of Motion

Newton's First Law of Motion, also known as the law of inertia, states that an object at rest will remain at rest, and an object in motion will remain in motion with a constant velocity, unless acted upon by an external force.

Newton's Second Law of Motion states that the force acting on an object is equal to the product of its mass and its acceleration.

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. This means that when one object exerts a force on another object, the second object exerts a force of equal magnitude but opposite direction on the first object.

The SI unit of force is the Newton (N), named after Sir Isaac Newton.

The SI unit of mass is the kilogram (kg).

The SI unit of acceleration is the meter per second squared (m/s²).

Using Newton's Second Law of Motion, F = ma, we can solve for acceleration: a = F/m = 20 N / 10 kg = 2 m/s².

Momentum is defined as the product of an object's mass and velocity: p = mv. Therefore, the momentum of the 5-kg object is 5 kg * 10 m/s = 50 kg m/s.

Kinetic energy is defined as the energy of motion: KE = (1/2)mv². Therefore, the kinetic energy of the 20-kg object is (1/2) * 20 kg * (5 m/s)² = 200 J.

Gravitational potential energy is defined as the energy an object possesses due to its position in a gravitational field: PE = mgh. Therefore, the gravitational potential energy of the 10-kg object is 10 kg * 9.8 m/s² * 2 m = 200 J.

Momentum is defined as the product of an object's mass and velocity: p = mv. Therefore, the momentum of the 5-kg object is 5 kg * 10 m/s = 50 kg m/s.

Kinetic energy is defined as the energy of motion: KE = (1/2)mv². Therefore, the kinetic energy of the 20-kg object is (1/2) * 20 kg * (5 m/s)² = 200 J.

Gravitational potential energy is defined as the energy an object possesses due to its position in a gravitational field: PE = mgh. Therefore, the gravitational potential energy of the 10-kg object is 10 kg * 9.8 m/s² * 2 m = 200 J.

Momentum is defined as the product of an object's mass and velocity: p = mv. Therefore, the momentum of the 5-kg object is 5 kg * 10 m/s = 50 kg m/s.

Kinetic energy is defined as the energy of motion: KE = (1/2)mv². Therefore, the kinetic energy of the 20-kg object is (1/2) * 20 kg * (5 m/s)² = 200 J.