Newtonian Mechanics and Forces

Spring balance is used to measure the weight of the object. When a load is hung on the spring, it stretches and the spring's extension is proportional to the weight of the object. The working principle of the spring balance is Hooke's law  which is  $F = -kx$.

All three of Newton's Laws of Motion apply to the mechanics of a roller coaster, including inertia (1st), force and acceleration (2nd), and action-reaction pairs (3rd).

According to Newton's 3rd Law, for every action there is an equal and opposite reaction. As the tires push back on the road, the road pushes forward on the tires.

Newton's 3rd Law of Motion states that for every action, there is an equal and opposite reaction.

As you go down a water slide, gravity causes you to speed up, which is acceleration. This increase in velocity contributes to the force you exert upon hitting the water.

Newton's 2nd Law is expressed by the formula F = m * a, which relates force, mass, and acceleration. Velocity is not part of this specific equation.

Friction is an external force that opposes motion. When a ball rolls on the ground, friction acts against the direction of travel, causing the ball to slow down and eventually stop.

Newton's 1st Law states that an object in motion stays in motion unless acted upon by an external force. Friction is the external force that causes the ball to slow down.

Newton's 3rd law states that for every action, there is an equal and opposite reaction acting on different bodies. The rocket and gas pair represents two objects exerting forces on each other, whereas the other options describe forces acting on a single object.

Newton's 2nd law defines force as the rate of change of momentum (F = dp/dt). This is the most fundamental form of the law.

Momentum (p) is a vector quantity because it is the product of mass (a scalar) and velocity (a vector). Therefore, p and v are vectors, while m is a scalar.

Inertia is the resistance of an object to changes in its state of motion. Mass is the quantitative measure of this inertia.

Inertia is defined as the tendency of an object to resist changes in its state of motion, as described by Newton's 1st law.

Isaac Newton is famous for his work on gravitation, the laws of motion, and the development of calculus, but he did not formulate the laws of perspective, which are primarily associated with Renaissance art.