Space, Time and Motion

Which of the following represents the kinematic equation for final velocity squared?

A person runs $400\text{ m}$ around a track in $80\text{ s}$. What is their average speed?

If a car is traveling North and its acceleration is South, the car is:

For a projectile, which component of velocity remains constant throughout the motion (ignoring air resistance)?

An object's motion is described by the equation $v^2 = u^2 + 2as$. If a graph is plotted with $v^2$ on the y-axis and $s$ on the x-axis, what does the y-intercept represent?

A pilot drops a package from a plane flying horizontally at a constant speed. From the pilot's perspective (neglecting air resistance), the package falls:

Two projectiles are launched with the same initial speed but at different angles $\alpha$ and $\beta$. If $\alpha + \beta = 90^\circ$, which of the following is true about their horizontal ranges?

A ball is projected from the ground with speed $u$ at an angle $\alpha$. It just clears a wall of height $h$ at a distance $d$ from the point of projection. Which of the following expresses the relationship between these variables?

The coordinates of a moving particle at any time $t$ are given by $x = ct^2$ and $y = bt^2$. The speed of the particle at any time $t$ is:

A body is projected vertically upwards. If $t_1$ and $t_2$ are the times at which it is at height $h$ while ascending and descending respectively, then $h$ is:

If an object has an acceleration of 0 $m\,s^{-2}$, which of the following MUST be true?

The tendency of an object to resist changes in its state of motion is called:

What is the mass of an object that weighs 490 N on Earth? (Take $g = 9.8\,m\,s^{-2}$)

Which type of friction exists between two surfaces that are not moving relative to each other?

A block is kept in equilibrium on a slope by a string as shown in the diagram. Which arrow correctly represents the normal reaction force?

A $1000\,kg$ car is towing a $500\,kg$ trailer. The car exerts a forward driving force of $3000\,N$. Neglecting friction, what is the tension in the tow bar connecting the car and the trailer?

A book of weight $10\,N$ is held against a vertical wall by a horizontal force of $20\,N$. The book is not moving. What is the magnitude of the friction force acting on the book?

A block of mass $m$ is held in place on a rough $45^{\circ}$ incline by a horizontal force $F$. If the coefficient of static friction is $\mu_s = 0.5$, what is the range of values for $F$ such that the block does not move? (Express in terms of $mg$)

A $50$ kg girl is on a giant ferris wheel moving in a vertical circle. At the top of the $20$ m radius circle, she feels 'weightless'. What is the speed of the ferris wheel?

What is the tension in the string connecting mass $A$ and mass $B$ in the system shown below, if the surface is frictionless and the force $F = 40$ N acts on $B$? ($M_A = 2$ kg, $M_B = 6$ kg)

Which of the following quantities is measured in Joules?

If a person does $300\text{ J}$ of work in $15\text{ s}$, what is their power output?

The gravitational potential energy of an object depends on its:

The efficiency of a light bulb is $10\%$. This means that:

A pendulum bob of mass $m$ is released from height $H$. At the lowest point, all potential energy is converted to kinetic energy. What is the speed at the lowest point?

Energy is defined as:

A $1000 \text{ kg}$ car is traveling at $20 \text{ m s}^{-1}$. The driver applies the brakes and the car comes to a stop in $40 \text{ m}$. What is the average braking force?

A motor with $80\%$ efficiency is used to lift a $200\text{ kg}$ crate at a constant speed of $0.5\text{ m s}^{-1}$. What is the electrical power input to the motor? (Use $g = 10\text{ m s}^{-2}$)

A boy of mass $m$ climbs a rope of length $L$ in time $t$ at a constant velocity. What is his power output?

A particle of mass $m$ is attached to a spring of constant $k$. It is oscillating with amplitude $A$. What is the kinetic energy when the displacement is $A/2$?

A $2\ kg$ mass moving at $4\ m\ s^{-1}$ collides with a $2\ kg$ mass at rest. They stick together. What is their speed after the collision?

The momentum of an object is always in the same direction as its:

A $5\ kg$ object experiences a change in momentum of $25\ kg\ m\ s^{-1}$. What is its change in velocity?

In a collision between a light cart and a heavy truck, which experiences a greater magnitude of impulse?

Two blocks, A and B, are initially at rest on a frictionless horizontal surface with a compressed spring between them. Block A has a mass of $2.0\ kg$ and block B has a mass of $1.0\ kg$. When the spring is released, block B moves to the right with a speed of $6.0\ m\ s^{-1}$. Block A moves to the left and then undergoes a perfectly inelastic collision with a stationary block C of mass $1.0\ kg$. What is the final speed of the combined blocks A and C?

A $4.0\ kg$ block is at rest on a frictionless surface. It is hit by a $2.0\ kg$ ball moving at $12\ m\ s^{-1}$. The ball rebounds at $3.0\ m\ s^{-1}$. What is the final velocity of the block?

Which of the following is equivalent to Newton's Second Law in terms of momentum?

A bullet of mass $10 \ g$ leaves a rifle of mass $4 \ kg$ with a speed of $400 \ m \ s^{-1}$. What is the velocity of the recoil of the rifle?

Two bodies $A$ and $B$ have masses $m$ and $M$ respectively. If they have the same kinetic energy, what is the ratio of their velocities $v_A/v_B$?

A constant force acts on a $5 \ kg$ object and changes its velocity from $3 \ m \ s^{-1}$ to $7 \ m \ s^{-1}$ in $2 \ seconds$. What is the power delivered by the force at $t = 1 \ s$?

1. Rigid Body Mechanics (HL): practice question 1 for Space, Time and Motion?

1. Rigid Body Mechanics (HL): practice question 2 for Space, Time and Motion?

1. Rigid Body Mechanics (HL): practice question 3 for Space, Time and Motion?

1. Rigid Body Mechanics (HL): practice question 4 for Space, Time and Motion?

1. Rigid Body Mechanics (HL): practice question 5 for Space, Time and Motion?

1. Rigid Body Mechanics (HL): practice question 6 for Space, Time and Motion?

1. Rigid Body Mechanics (HL): practice question 7 for Space, Time and Motion?

1. Rigid Body Mechanics (HL): practice question 8 for Space, Time and Motion?

1. Rigid Body Mechanics (HL): practice question 9 for Space, Time and Motion?

1. Rigid Body Mechanics (HL): practice question 10 for Space, Time and Motion?

1. Galilean and Special Relativity (HL): practice question 1 for Space, Time and Motion?

1. Galilean and Special Relativity (HL): practice question 2 for Space, Time and Motion?

1. Galilean and Special Relativity (HL): practice question 3 for Space, Time and Motion?

1. Galilean and Special Relativity (HL): practice question 4 for Space, Time and Motion?

1. Galilean and Special Relativity (HL): practice question 5 for Space, Time and Motion?

1. Galilean and Special Relativity (HL): practice question 6 for Space, Time and Motion?

1. Galilean and Special Relativity (HL): practice question 7 for Space, Time and Motion?

1. Galilean and Special Relativity (HL): practice question 8 for Space, Time and Motion?

1. Galilean and Special Relativity (HL): practice question 9 for Space, Time and Motion?

1. Galilean and Special Relativity (HL): practice question 10 for Space, Time and Motion?

An object experiences a constant net force. Which of the following quantities will also be constant?

Friction is a force that always acts:

A stationary firework explodes into two pieces of unequal mass. Which piece has the greater magnitude of momentum?

A $15\text{ N}$ force is the only force acting on an object. If the object's acceleration is $5\text{ m s}^{-2}$, what is its mass?

A paratrooper of mass $80\text{ kg}$ falls at a terminal velocity of $50\text{ m s}^{-1}$. After opening the parachute, the terminal velocity becomes $5\text{ m s}^{-1}$. What is the magnitude of the drag force at the new terminal velocity?

A body is moving with a constant momentum $p$. A constant force $F$ is applied for a time $t$ in the direction of the momentum. The new kinetic energy is:

A force $F$ acts on a mass $m$ over a distance $s$. If the force is doubled and the distance is halved, the work done:

A bullet of mass $m$ hits a block of mass $M$ and thickness $t$ with velocity $v$. It emerges with velocity $v/3$. What was the average resistive force exerted by the block?

A constant force $F$ acts on an object of mass $m$ for a distance $d$. If the same force acts on an object of mass $2m$ for the same distance $d$, both starting from rest, what is the ratio of their final momenta $p_1/p_2$?

The relativistic momentum of a particle moving at $0.8c$ is how many times its classical momentum $mv$?

In relativistic velocity addition, if $u'$ is the velocity of an object in frame $S'$ and $v$ is the velocity of $S'$ relative to $S$, the velocity $u$ in frame $S$ is given by:

A person on a platform sees a train pass by at $0.8c$. The person on the train measures the train's length to be $100\text{ m}$. The person on the platform measures the length to be:

Which of the following statements about the Lorentz factor is true?

In the context of Lorentz transformations, $c$ represents:

The relativistic addition of two velocities $v_1 = 0.6c$ and $v_2 = 0.6c$ in the same direction yields:

A circle of radius $R$ is at rest in frame S. If frame S' moves relative to S at $0.8c$ along the x-axis, an observer in S' will see:

In the Galilean velocity transformation $u = u' + v$, what assumption is made about time?

If an object is moving at $0.9999c$, its Lorentz factor $\gamma$ is approximately:

A particle with rest mass $m$ has a momentum $p = 2mc$. What is its speed $v$?

In a Minkowski diagram, the world-line of a photon is represented by a line with what slope (where the $ct$-axis is vertical and $x$-axis is horizontal)?

On a space-time diagram, if two events are separated such that $\Delta x > \Delta(ct)$, the interval is called:

What does the area outside the light cones represent in terms of signal transmission?

What happens to the worldline of an object as its speed approaches $c$?

A worldline is given by the equation $ct = 4x$. What is the velocity of the object in terms of $c$?

On a Minkowski diagram, if a particle's worldline is a straight line making an angle of $45^{\circ}$ with the $ct$-axis, what can be said about its mass?

What is the physical significance of the region $x^2 > (ct)^2$ on a space-time diagram relative to the origin?

An observer moving at $v$ sees two events at the same time $t'$. This set of events forms a line on the space-time diagram of the stationary observer with slope:

Event $A$ occurs at $x=0, ct=0$. Event $B$ occurs at $x=2, ct=1$. Is there a frame in which event $B$ occurs before event $A$?

An observer in $S$ measures the speed of a particle as $u$. On the space-time diagram of $S$, the angle $\phi$ between the worldline and the $ct$ axis satisfies:

In frame $S$, a square is drawn in the $x-ct$ plane with corners at $(0,0), (1,0), (1,1),$ and $(0,1)$. When transformed to frame $S'$, this shape becomes a: