Kinematics & Kinetics of Particles From motion to momentum — this section is all about how things move, accelerate, and react! Let’s see if you can calculate your way through every motion in the MechWorlz. 1 / 20 Power is defined as — Work × time Force × acceleration Rate of doing work Energy stored Power is how quickly work is done — work per unit time. 2 / 20 The principle of conservation of momentum states — Total momentum remains constant Total energy remains constant Force remains constant Velocity remains constant In absence of external forces, the total momentum before and after impact is the same. 3 / 20 Potential energy is defined as — Energy due to motion Energy due to position Energy due to friction Energy due to speed It’s the stored energy a body possesses due to its height or configuration 4 / 20 Kinetic energy is expressed as — mgh F × s ½mv² m/a Kinetic energy depends on mass and square of velocity. 5 / 20 Work done is said to be positive when — Force and displacement are in the same direction Force opposes motion Body is at rest No displacement occurs Positive work means energy transfer in the direction of motion. 6 / 20 Impulse is equal to — Change in displacement Rate of force Change in momentum Change in energy Impulse = Force × time = change in linear momentum. 7 / 20 For maximum range, the angle of projection should be — 30° 45° 60° 90° Range is maximum when sin2θ = 1, which happens at θ = 45°. 8 / 20 The maximum height reached by a projectile is — (u² sin²θ) / (2g) u² sin2θ / g 2u sinθ / g u² / g Vertical motion equation gives the maximum height reached at topmost point. 9 / 20 The horizontal range of a projectile is — u cosθ / g u² / g 2u sinθ / g u² sin2θ / g Range depends on initial velocity, angle, and gravitational acceleration. 10 / 20 The time of flight of a projectile is given by — 2u sinθ / g u² sin2θ / g u cosθ / g 2u² / g Time of flight depends on vertical component of velocity and gravity. 11 / 20 The motion of a projectile is — Elliptical Parabolic Circular Rectilinear A projectile follows a parabolic path due to the combined horizontal and vertical motion. 12 / 20 A freely falling body has — No motion Uniform velocity Variable acceleration Uniform acceleration Under gravity alone, a body falls with constant acceleration g. 13 / 20 The acceleration due to gravity on Earth is approximately — 9.81 m/s² 10 m/s² 8.9 m/s² 9.2 m/s² Standard acceleration due to gravity is taken as 9.81 m/s² near Earth’s surface. 14 / 20 For uniformly accelerated motion, v = u + at v² = u² + 2as s = ut + ½at² v = s/t This equation relates final velocity, initial velocity, acceleration, and displacement. 15 / 20 The area under an acceleration-time graph represents — Displacement Change in velocity Distance Impulse The integral of acceleration with respect to time gives velocity change. 16 / 20 The area under a velocity-time graph represents — Acceleration Force Displacement Speed Integrating velocity over time gives total displacement. 17 / 20 The slope of a velocity-time graph gives — Acceleration Displacement Impulse Distance The rate of change of velocity with time is acceleration. 18 / 20 The slope of a displacement-time graph gives — Force Energy Velocity Acceleration The rate of change of displacement with respect to time is velocity. 19 / 20 Kinetics deals with — Equilibrium only Forces causing motion Shape of bodies Rest conditions Kinetics explains why motion occurs — relating force and mass to acceleration. 20 / 20 Kinematics deals with — Motion without considering forces Motion with forces Forces only Energy transfer Kinematics studies the geometry of motion — displacement, velocity, and acceleration — without involving force. Your score isThe average score is 0% 0% Restart quiz
