Conservation Laws in Perfectly Inelastic Collisions
In a perfectly inelastic collision, two objects stick together after impact. Which of the following quantities is conserved for the system of the two objects during this collision?
Interpreting Velocity-Time Graph Gradients
Consider a velocity-time (v-t) graph where velocity is plotted on the y-axis and time on the x-axis. If the graph shows velocity increasing linearly with time, what physical quantity does the gradient of this graph represent?
Determining Final Kinetic Energy from Net Work
An object is initially at rest. A net work of 150 J is done on the object. What is its final kinetic energy?
Evaluating Motor Power for Lifting Mass
An electric motor is used to lift a load vertically at a constant speed. The recorded data for one lift are as follows: – Mass of the load, \(m = 75 \text{ kg}\) – Height raised, \(h = 10.0 \text{ m}\) – Time taken, \(t = 5.0 \text{ s}\) – Acceleration due to gravity, \(g […]
Analyzing Collision Impact with Force-Time Graph
A vehicle collision is analyzed by recording the force exerted over time during the impact. The recorded force-time graph shows a triangular profile: the force increases linearly from 0 N at t = 0 s to a peak of 5000 N at t = 0.1 s, and then decreases linearly back to 0 N at […]
Analyzing Kinetic Energy and Work Done from Stopping Distances
A vehicle with mass \(m = 1200 \text{ kg}\) was tested to determine its stopping distance at different initial speeds. The following data was recorded: Initial Speed (km/h) Stopping Distance (m) 20 2.5 40 10 60 22.5 80 40 Assume the braking force is constant. Use this data to analyze the relationship between the initial […]
Fundamental Conservation Laws in Physics
Explain why both conservation of energy and conservation of momentum are regarded as fundamental principles in physics. In your answer, discuss their empirical basis, their predictive power in simplifying complex systems, and their role as unifying concepts across diverse physical phenomena. Reference the role of symmetry where appropriate.
Simplifying Assumptions in Projectile Motion
In the standard model of projectile motion, a thrown ball’s trajectory is analyzed using simplifying assumptions. Identify three key assumptions made in this model and discuss why each assumption is useful for simplifying the analysis.
Drag Force and Terminal Velocity Explained
Explain qualitatively how drag force (fluid resistance) affects a falling object, leading it to reach a constant terminal velocity.