Physics: Motion and Mechanics

Which of the following is the standard unit for volume in the SI system?

A measurement of $5.00\ m$ is more ________ than a measurement of $5\ m$.

Which of these is used to measure weight?

How many seconds are in $5$ minutes?

The diagram shows two velocity vectors acting on an airplane simultaneously: its own engine velocity heading North and a crosswind velocity heading West. Based on the principles of vector addition, which statement correctly describes the airplane's resultant velocity?

A delivery robot follows the path shown in the diagram, beginning at 'Start' and ending at 'Finish'. Which of the following correctly identifies the total distance the robot traveled and the magnitude of its final displacement from the starting point?

An object travels at $5\text{ m/s}$ for $2\text{ minutes}$. How far does it travel?

If a vector representing $20\text{ m/s}$ North is added to a vector representing $20\text{ m/s}$ West, what is the direction of the resultant vector?

Which of these is a typical cause of systematic error?

Which of the following correctly pairs a physical quantity with its standard SI unit?

Which of the following has the lowest density?

What is the mass of $200\text{ cm}^3$ of a substance with a density of $0.5\text{ g/cm}^3$?

An object will float in a liquid if the upthrust is:

In the formula $D = \frac{M}{V}$, what does '$V$' stand for?

The same wooden block is placed into four different liquids. In each case, the block floats in equilibrium, but the percentage of its volume that is submerged changes as shown in the diagram. In which liquid does the block experience the greatest upward buoyant force (upthrust)?

Three objects of identical volume but made of different materials are placed into a large tank of water. The diagram shows their final positions after they are released. Which of the following correctly ranks the objects from lowest density to highest density?

Which of the following will sink in a liquid with a density of $1.5\text{ g/cm}^3$?

A cylinder of height $H$ and density $\rho$ floats in a liquid of density $D$. What is the height $h$ of the part of the cylinder that is above the liquid surface?

A block of wood of mass $m$ is floating in water. A small metal bolt of mass $M$ is placed on the wood, and the wood still floats. The buoyant force on the wood-bolt system is:

A plastic sphere is weighted so that it floats just level with the surface of water ($\rho = 1000\text{ kg/m}^3$). If it is placed in glycerin ($\rho = 1260\text{ kg/m}^3$), what percentage of its volume will be above the surface?

If a ball is dropped and its velocity increases by $9.8 m/s$ every second, what is its acceleration?

What is the acceleration of an object moving at a constant velocity of $15 m/s$?

On a distance-time graph, a line moving downwards (negative slope) means:

A vector quantity is one that has:

A toy car is tested on a track. The diagram below shows the car's velocity at specific timestamps during its journey. Based on this information, calculate the distance traveled by the car during the specific interval when it was moving with zero acceleration (constant velocity). Assume all velocity values are in $m/s$ and time is in $s$.

A person walks $10\ m$ North, then $10\ m$ East. What is their total distance traveled?

If an object moves at a constant speed of $5\ m/s$ in a circle, is it accelerating?

In a vacuum, if a feather and a hammer are dropped simultaneously from the same height, which physical quantity is the same for both during the fall?

A car moves at $20\text{ m/s}$ for $30\text{ seconds}$, then at $30\text{ m/s}$ for $20\text{ seconds}$. What is the total distance traveled?

How many $m/s$ is $90\text{ km/h}$?

Which of the following is required to fully describe a vector quantity?

The area under a velocity-time graph represents...

In the equation $v = u + at$, if $u=2, a=3,$ and $t=4$, what is $v$?

What is the value of acceleration due to gravity on Earth (approximate)?

A race car speeds up from $10$ m/s to $60$ m/s. If its acceleration is $10$ m/s$^{2}$, how much time did it take?

What is the initial velocity of an object that comes to a stop in $10$ seconds with a deceleration of $2$ m/s$^{2}$?

If an object moves $10$ meters in $2$ seconds, what is its velocity if it is moving towards the West?

A body is thrown vertically upwards with velocity $u$. The ratio of the times taken to reach heights $h$ and $2h$ is tricky. If $h$ is the maximum height, what is the velocity at $h/2$?

A particle starts from rest and moves with an acceleration $a = 4t$. What is the velocity of the particle after $3\text{ seconds}$?

A stone dropped from a bridge strikes the water in $3\text{ seconds}$. What is the height of the bridge? (Use $g = 9.8\text{ m/s}^2$)

Rougher surfaces have more _____ than smooth surfaces.

Which force depends on the surface area of an object moving through a fluid?

What happens to the terminal velocity of a skydiver if they curl into a tight ball?

Which of the following is an example where high friction is desirable?

If you push a heavy box and it doesn't move, the force of static friction is:

As a ball falls through the air, before it reaches terminal velocity, its speed is _______ and its acceleration is _______.

Which of the following would NOT help a car go faster by reducing resistance?

When a person walks, friction acts between their shoes and the ground. What is the direction of the friction force acting on the person's shoe as they push off?

A box is pushed against a vertical wall. Friction prevents the box from sliding down. In which direction does the friction force act?

What happens to the terminal velocity of a raindrop as it grows in size (assuming it stays spherical)?

Which represents a greater impulse: $10\,N$ for $2\,s$ or $5\,N$ for $4\,s$?

If momentum is conserved, and an object's mass decreases during motion (like a leaking sand truck), what must happen to its velocity?

In an inelastic collision, some of the kinetic energy is often converted into:

Newton's Second Law can be rewritten to say that Force is the rate of change of:

Two identical blocks, X and Y, are initially at rest on a frictionless surface. A constant force of $F$ is applied to block X for a time interval of $2t$. A different constant force of $2F$ is applied to block Y for a time interval of $t$. Which of the following statements correctly compares their final momenta?

A $2\text{ kg}$ cart (Cart A) and a $4\text{ kg}$ cart (Cart B) are initially at rest with a compressed spring held between them. When the spring is released, Cart B moves to the right at a velocity of $3\text{ m/s}$. Assuming there is no friction, what is the resulting velocity of Cart A?

If an object hits a wall and bounces back with the same speed it had initially, which of the following is true?

A $0.5\, \text{kg}$ ball moving at $10\, \text{m/s}$ is stopped by a catcher's mitt in $0.02\, \text{s}$. What is the average force exerted by the mitt?

If the velocity of an object is tripled, by what factor does its momentum increase?

A $5\, \text{kg}$ ball moving at $4\, \text{m/s}$ has an elastic collision with a $10\, \text{kg}$ ball moving at $1\, \text{m/s}$ in the same direction. After collision, the $5\, \text{kg}$ ball moves at $2\, \text{m/s}$. What is the speed of the $10\, \text{kg}$ ball?

In the formula $F = kx$, if $F$ is $100$ N and $k$ is $200$ N/m, what is $x$?

What is the extension of a spring if its length changes from $20$ cm to $25$ cm?

A graph of Force vs Extension is a straight line. What can you conclude?

What is the name of the scientist who discovered the law of elasticity?

Which part of the IB scientific method involves checking if the spring returned to its original length after each weight was removed?

If a force of $50\ N$ is applied to a spring with $k = 1000\ N/m$, what is the extension in millimeters?

A spring stretches $2\ mm$ for a $10\ N$ load. What is the extension for a $1\ N$ load?

A spring is stretched by $2.0\text{ cm}$ and stores $E$ Joules of energy. It is then stretched a further $2.0\text{ cm}$ (total $4.0\text{ cm}$). How much additional energy is stored in the second stage?

Which of the following materials is most likely to show a large plastic region before breaking?

A force of $20\text{ N}$ is applied to a spring. The energy stored is $0.4\text{ J}$. What is the spring constant?

If a force of $4 N$ is applied $3 m$ from the pivot, the moment is:

An object will be most stable if it has a:

The human arm (lifting a weight in the hand) acts as which class of lever?

If you double the distance from the pivot and keep the force the same, the moment:

A gardener uses a wheelbarrow, which acts as a second-class lever, to move a stone weighing $600 N$. The stone (Point B) is positioned $0.4 m$ from the wheel axle (Point A). The gardener applies an upward force $F$ at the handles (Point C), which are $1.2 m$ from the wheel axle. What is the minimum force $F$ required to balance the stone?

A $12 N$ force creates a moment of $4.8 N m$. What is the perpendicular distance from the pivot?

A bus is more likely to topple over if it has many passengers on the top deck compared to the bottom deck. This is because:

A bicycle pedal arm is $0.15\text{ m}$ long. If a cyclist pushes down with a vertical force of $400\text{ N}$ when the pedal arm is at an angle of $30$ degrees above the horizontal, what is the torque produced?

A uniform rod is $1.0\text{ m}$ long and weighs $10\text{ N}$. It is supported by a string at the $0.2\text{ m}$ mark and another string at the $0.8\text{ m}$ mark. If a $20\text{ N}$ weight is hung at the $0.5\text{ m}$ mark, what is the tension in the string at $0.8\text{ m}$?

If a force of $10\text{ N}$ creates a moment of $5\text{ Nm}$ about a pivot, what is the perpendicular distance from the line of action of the force to the pivot?

A ship floats higher in saltwater than in freshwater because saltwater is:

Which of these units is NOT used for pressure?

What is the force required to produce a pressure of $50\ Pa$ on an area of $2\ m^2$?

If you pump more air into a bicycle tire, the pressure increases because:

A force of $150\,N$ is applied to an area of $0.5\,m^2$. If the same force is applied to an area of $1.0\,m^2$, how does the pressure change?

If you move from sea level to the top of Mount Everest, the reading on a mercury barometer will:

An object floats in a fluid. Which statement about the forces is correct?

A $100\ g$ object floats in a liquid of density $0.8\ g/cm^3$. What volume of the liquid does it displace?

A vertical tube $2\ m$ long is closed at one end and filled with water. It is then inverted into a bowl of water. What happens to the water in the tube?

A hydraulic brake system uses a master cylinder of radius $1\ cm$ and wheel cylinders of radius $3\ cm$. What is the mechanical advantage of this system?

What is the useful output of a toaster?

Which of the following is NOT a unit of energy or work?

A small motor has a power of $10 W$. How much work does it do in $1$ minute?

If a machine has an efficiency of $0\%$, what does this mean?

If you double the force applied to an object but the distance it moves remains the same, the work done will:

A $1000\ W$ toaster takes $30$ seconds to toast bread. How much energy is used?

Which of these is a unit of work?

Two machines, A and B, perform the same amount of work. Machine A takes $10\text{ seconds}$ and Machine B takes $40\text{ seconds}$. What is the ratio of the power of Machine A to Machine B?

A motor has an input power of $1,000\text{ W}$ and is $85\%$ efficient. How much energy is wasted in one minute of operation?

A $400\text{ kg}$ object is accelerated from $5\text{ m/s}$ to $15\text{ m/s}$. What is the total work done on the object?