Forces and Acceleration Quiz

The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

The product of a force and the perpendicular distance from the line of action of the force to the pivot point.

A state of balance where the net force and the net moment acting on an object are both zero.

The point where the entire weight of an object can be considered to act, resulting in a balanced distribution of mass.

The tendency of a body to resist changes in its state of motion.

A force that acts on an object to oppose its movement.

Net Force = Mass x Acceleration

An object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity, unless acted upon by an external force.

The force acting on an object due to gravity.

A law stating that the extension of a spring is directly proportional to the force applied to it, within the spring's elastic limit.

The increase in length of a stretched spring or other elastic object.

The point beyond which an elastic object will not return to its original shape after being stretched or compressed.

The force exerted by a single support on a symmetrically placed object.

The force that acts on an object due to its mass and the acceleration due to gravity.

A point where an object is held up or supported.

A straight line on a graph that shows a proportional relationship between two quantities.

The graph of force (F) against extension (x) for a spring obeying Hooke's Law is a straight line passing through the origin. This indicates a constant gradient, meaning the force per unit extension remains constant.

The slope of the force-extension graph represents the spring constant (k), which is a measure of the stiffness of the spring. A steeper slope indicates a stiffer spring.

The limit of proportionality is the point beyond which the spring no longer obeys Hooke's Law. After this point, the graph deviates from the straight line and the spring becomes permanently deformed.

For a spring with a smaller spring constant (k), the force-extension graph will have a shallower slope. This means the spring requires less force to stretch to the same extension.

The acceleration of an object is always in the same direction as the net force acting on it.

Weight is the force of gravity acting on an object's mass. It's usually calculated as 'mass x acceleration due to gravity', where acceleration due to gravity is approximately 9.8 m/s².

The force exerted by the floor on the woman is equal and opposite to her weight. This is due to Newton's third law - every action has an equal and opposite reaction.

To calculate the force needed to accelerate an object, use Newton's second law: Force = mass x acceleration. Plug in the woman's mass (60 kg) and the acceleration (2.5 m/s²) to find the required force.

Hooke's Law states that the extension of a spring is directly proportional to the load (force) applied to it, as long as the limit of proportionality is not exceeded.

The limit of proportionality is the point on the extension-load graph beyond which the spring no longer obeys Hooke's Law. The graph will no longer be a straight line after this point.

A straight line passing through the origin of the graph indicates a directly proportional relationship, which is essential for Hooke's Law to be obeyed. Additionally, the slope of the graph (which is the spring constant) remains constant within this range.

Beyond the limit of proportionality, the spring's behavior changes. The extension will increase more rapidly for a given load, and the graph will curve upwards. This is because the spring is approaching its elastic limit.