Kinematics & Dynamics Games

Game 1: Kinematics — Match the formula

Instructions: Match each quantity to the correct equation (constant acceleration in a straight line).

Game 2: Kinematics — Find final velocity

Instructions: Use \(v = u + at\). A car starts from rest (\(u=0\)) and accelerates at \(4\,\text{m/s}^2\) for \(5\,\text{s}\). What is the final velocity in m/s?

Game 3: Work — \(W = F \times s\)

Instructions: Work done when force and displacement are in the same direction: \(W = F \times s\). A force of \(50\,\text{N}\) moves an object \(3\,\text{m}\) in the direction of the force. How much work is done (in joules)?

Game 4: Energy — Kinetic energy

Instructions: Kinetic energy \(KE = \frac{1}{2}mv^2\). A \(2\,\text{kg}\) object moves at \(6\,\text{m/s}\). Find its KE in joules.

Game 5: Energy — Gravitational potential energy

Instructions: \(PE = mgh\). A \(5\,\text{kg}\) mass is raised by \(4\,\text{m}\). Use \(g = 10\,\text{m/s}^2\). Find PE in joules.

Game 6: Energy — Where is it KE vs PE?

Instructions: A ball is thrown upwards. At the highest point of its path, what can you say about its kinetic and potential energy? (Assume no air resistance; total energy is conserved.)

Game 7: Momentum — \(p = mv\)

Instructions: Momentum \(p = mv\). A \(3\,\text{kg}\) object moves at \(10\,\text{m/s}\). Find its momentum in \(\text{kg}\cdot\text{m/s}\).

Game 8: Momentum — Conservation

Instructions: In a closed system with no external force, total momentum is conserved. Ball A (2 kg) moves at 5 m/s. Ball B (3 kg) is at rest. They stick together after collision. What is the common speed after collision (in m/s)?

Game 9: Moments — \(M = F \times d\)

Instructions: Moment of a force about a pivot: \(M = F \times d\) (perpendicular distance). A force of \(20\,\text{N}\) acts at \(1.5\,\text{m}\) from the pivot. What is the moment in N⋅m?

Game 10: Moments — Equilibrium

Instructions: A light rod is balanced. On one side, \(12\,\text{N}\) at \(1\,\text{m}\) from the pivot. On the other side, a force \(F\) at \(2\,\text{m}\) from the pivot. Find \(F\) (in N) for equilibrium.

Game 11: Match quantity to unit

Instructions: Match each physical quantity to its SI unit.

Game 12: Which formula?

Instructions: You want to find the acceleration of an object. You know initial velocity \(u\), final velocity \(v\), and displacement \(s\). Which equation do you use?

Game 13: Two-step kinematics Challenge

Instructions: A train slows from \(24\,\text{m/s}\) to \(8\,\text{m/s}\) in \(80\,\text{m}\). (a) Find the acceleration in \(\text{m/s}^2\) (use \(v^2 = u^2 + 2as\)). (b) Find the time taken in seconds (use \(v = u + at\)). Give both answers.

Game 14: Power Challenge

Instructions: A crane lifts a \(400\,\text{kg}\) mass at constant speed through a height of \(12\,\text{m}\) in \(8\,\text{s}\). Use \(g = 10\,\text{m/s}^2\). What is the useful power output in watts? (Hint: \(P = W/t\), \(W = F \times s\); force needed = weight.)

Game 15: Impulse Challenge

Instructions: Impulse \(J = F \Delta t = \Delta p\). A \(0.5\,\text{kg}\) ball hits a wall at \(6\,\text{m/s}\) and rebounds at \(4\,\text{m/s}\) (same direction = opposite velocity). The contact lasts \(0.02\,\text{s}\). What is the average force (magnitude) exerted by the wall, in newtons?

Game 16: Speed from energy Challenge

Instructions: A ball is released from rest at a height of \(20\,\text{m}\). Use \(g = 10\,\text{m/s}^2\) and assume no air resistance. Conservation of energy: loss in PE = gain in KE. What is its speed in m/s when it reaches the ground?

Game 17: Spot the error Challenge

Instructions: To find how far a car travels in \(5\,\text{s}\) when it accelerates from rest at \(2\,\text{m/s}^2\), a student writes: “\(s = vt\), and \(v = 0 + 2 \times 5 = 10\), so \(s = 10 \times 5 = 50\,\text{m}\).” The numerical answer is correct, but which step is wrong in principle?

Game 18: Order the steps Challenge

Instructions: Put these steps in the correct order to find the momentum of a \(2\,\text{kg}\) object moving at \(7\,\text{m/s}\). Click a step to move it up (top = first step).

• Write the formula: \(p = mv\)
• State the answer with unit: \(14\,\text{kg}\cdot\text{m/s}\)
• Identify \(m = 2\,\text{kg}\), \(v = 7\,\text{m/s}\)
• Substitute: \(p = 2 \times 7 = 14\)

Game 19: Moments — find the distance Challenge

Instructions: A light beam is in equilibrium. On one side, \(18\,\text{N}\) at \(1.2\,\text{m}\) from the pivot. On the other side, \(12\,\text{N}\) at distance \(d\) from the pivot. Find \(d\) in metres.

Game 20: Collisions Challenge

Instructions: Which statement is true?

Game 21: Stretching spring — Hooke's law

Instructions: Hooke's law: \(F = kx\). A spring has \(k = 150\,\text{N/m}\). What force (in N) is needed to stretch it by \(0.08\,\text{m}\)?

Game 22: Stretching spring — Elastic PE

Instructions: Elastic PE \(U = \frac{1}{2}kx^2\). A spring (\(k = 80\,\text{N/m}\)) is compressed by \(0.1\,\text{m}\). What is the stored energy in joules?

Game 23: Spring — Period of oscillation

Instructions: Period \(T = 2\pi\sqrt{m/k}\). A \(0.4\,\text{kg}\) mass on a spring (\(k = 100\,\text{N/m}\)) oscillates. Find the period in seconds (round to 2 decimal places).

Game 24: Simple pendulum — Period

Instructions: For small angles, \(T = 2\pi\sqrt{L/g}\). A pendulum has length \(1\,\text{m}\). Use \(g = 10\,\text{m/s}^2\). Find the period in seconds (round to 2 decimal places).

Game 25: Simple pendulum — Find length

Instructions: \(T = 2\pi\sqrt{L/g}\) so \(L = gT^2/(4\pi^2)\). A pendulum has period \(2\,\text{s}\). Use \(g = 10\,\text{m/s}^2\). Find the length in metres.

Game 26: Elastic pendulum — Vertical oscillation

Instructions: A mass hangs from a vertical spring. For small vertical oscillations about equilibrium, the period is the same as for a horizontal spring: \(T = 2\pi\sqrt{m/k}\). A \(0.5\,\text{kg}\) mass on a spring (\(k = 50\,\text{N/m}\)) oscillates vertically. Find the period in seconds.

Game 27: Elastic pendulum — What changes the period?

Instructions: For the vertical oscillation of a mass on a spring (elastic pendulum), which of these changes the period?