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A $0.010 \text{ kg}$ bullet traveling horizontally at $400 \text{ m/s}$ passes completely through a $2.0 \text{ kg}$ block initially at rest on a frictionless surface, exiting at $100 \text{ m/s}$ in the same direction. What is the block's speed just after the bullet exits?

A $0.010 \text{ kg}$ bullet traveling horizontally at $400 \text{ m/s}$ passes completely through a $2.0 \text{ kg}$ block initially at rest on a frictionless surface, exiting at $100 \text{ m/s}$ in the same direction. What is the block's speed just after th...

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A $0.010 \text{ kg}$ bullet traveling horizontally at $400 \text{ m/s}$ passes completely through a $2.0 \text{ kg}$ block initially at rest on a frictionless surface, exiting at $100 \text{ m/s}$ in the same direction. What is the block's speed just after the bullet exits?

A $0.10\ M$ solution of a weak acid HA is diluted with water to $0.010\ M$ at constant temperature. Which statement correctly describes the changes upon dilution?

A $0.10\ M$ solution of a weak monoprotic acid HA has a pH of $2.70$ at $25^{\circ}\text{C}$. What is the percent ionization of the acid?

A $0.10\ M$ solution of ammonia ($\text{NH}_3$, a weak base) is titrated with $0.10\ M$ HCl. Which best describes the pH at the equivalence point at $25^{\circ}\text{C}$?

A $0.15 \text{ kg}$ ball is dropped from a height of $1.8 \text{ m}$ onto a hard floor and rebounds to a height of $0.80 \text{ m}$. Use $g = 10 \text{ m/s}^2$. What is the magnitude of the impulse the floor delivers to the ball during the bounce?

A $0.20 \text{ kg}$ ball is at rest when a force is applied, accelerating it to $10 \text{ m/s}$ in $0.050 \text{ s}$. What is the magnitude of the impulse delivered to the ball?

A $0.20\ M$ solution of a weak monoprotic acid is $1.5\%$ ionized at equilibrium. What is the approximate $K_a$ of the acid?

A $0.25 \text{ kg}$ mass oscillates on a spring with a frequency of $2.0 \text{ Hz}$. What is the spring constant?

A $0.40 \text{ kg}$ ball moving horizontally at $5.0 \text{ m/s}$ strikes a wall and rebounds along the same line at $3.0 \text{ m/s}$. The ball is in contact with the wall for $0.020 \text{ s}$. What is the magnitude of the average force the wall exerts on the ball?

A $0.40 \text{ kg}$ block is pressed against a horizontal spring ($k = 500 \text{ N/m}$) that is compressed $0.20 \text{ m}$. When released, the block slides across a frictionless surface. What is the speed of the block after it leaves the spring?

A $0.50 \text{ kg}$ ball attached to a string travels in a circle of radius $2.0 \text{ m}$ at a speed of $8.0 \text{ m/s}$. What is the magnitude of the ball's angular momentum about the center of the circle?

A $0.50 \text{ kg}$ ball is released from rest at a height of $20 \text{ m}$ above the ground on a frictionless track. Use $g = 10 \text{ m/s}^2$. What is the speed of the ball at ground level?

A $0.50 \text{ kg}$ ball on a string is swung in a vertical circle of radius $1.0 \text{ m}$. At the lowest point of the circle, the ball's speed is $4.0 \text{ m/s}$. Using $g = 10 \text{ m/s}^2$, what is the tension in the string at that point?

A $0.50 \text{ kg}$ ball on the end of a lightweight rod swings in a circle of radius $2.0 \text{ m}$. Treating the ball as a point mass, what is its rotational inertia about the center of the circle?

A $0.50 \text{ kg}$ ball rests on a vertical spring ($k = 250 \text{ N/m}$) that is compressed $0.20 \text{ m}$ and then released, launching the ball upward. Use $g = 10 \text{ m/s}^2$. What maximum height above its release position does the ball reach?

A $0.50 \text{ kg}$ ball traveling at $8.0 \text{ m/s}$ to the right strikes a wall and bounces back at $6.0 \text{ m/s}$ to the left. The ball is in contact with the wall for $0.020 \text{ s}$. What is the magnitude of the average force exerted by the wall on the ball?

A $0.50 \text{ kg}$ block is attached to a spring with spring constant $200 \text{ N/m}$ on a frictionless horizontal surface. What is the period of oscillation?

A $0.50 \text{ kg}$ block oscillates on a spring with spring constant $200 \text{ N/m}$ and amplitude $0.10 \text{ m}$. What is the block's speed when it is $0.060 \text{ m}$ from equilibrium?

A $1.0 \text{ kg}$ ball moving at $10 \text{ m/s}$ collides with a $3.0 \text{ kg}$ ball at rest, and they stick together. What fraction of the initial kinetic energy is lost in the collision?

A $1.0 \text{ kg}$ block on a frictionless horizontal surface is attached to a spring with spring constant $100 \text{ N/m}$. The block is displaced and released. What is the period of the resulting oscillation?

A $1.0 \text{ kg}$ block starts from rest and slides $2.0 \text{ m}$ down a frictionless incline angled at $30^\circ$ above the horizontal, then compresses a spring ($k = 100 \text{ N/m}$) aligned with the incline. Use $g = 10 \text{ m/s}^2$. What is the maximum compression of the spring?

A $1.0\ \text{L}$ buffer contains $0.50\ \text{mol}$ of a weak acid HA (p$K_a = 4.00$) and $0.50\ \text{mol}$ of NaA. After $0.10\ \text{mol}$ of solid NaOH dissolves in the buffer (no volume change), what is the new pH?

A $1.0\ \text{L}$ flask is charged with $0.80\ \text{mol}$ of NOBr, which decomposes by $2\ \text{NOBr}(g) \rightleftharpoons 2\ \text{NO}(g) + \text{Br}_2(g)$. At equilibrium, $[\text{Br}_2] = 0.10\ M$. What is $K_c$?

A $1.20\ \text{g}$ sample of a compound (molar mass $60.0\ \text{g/mol}$) is burned in a bomb calorimeter whose total heat capacity is $5.86\ \text{kJ/}^{\circ}\text{C}$. The temperature rises by $3.00\,^{\circ}\text{C}$. What is the enthalpy of combustion per mole of the compound?

A $10 \text{ kg}$ cannon sits on a frictionless surface and fires a $2.0 \text{ kg}$ cannonball horizontally at $50 \text{ m/s}$ relative to the ground. What is the total kinetic energy released by the explosion?

A $10 \text{ kg}$ crate, initially at rest, is pulled $6.0 \text{ m}$ across a rough horizontal floor by a constant horizontal force of $50 \text{ N}$. Friction exerts a constant $20 \text{ N}$ force on the crate. What is the crate's speed after the $6.0 \text{ m}$?

A $1000 \text{ kg}$ car travels at $20 \text{ m/s}$ and a $2000 \text{ kg}$ truck travels at $10 \text{ m/s}$ in the same direction. Which of the following correctly compares their momenta and kinetic energies?

A $1200 \text{ kg}$ car accelerates from rest to $30 \text{ m/s}$ in $12 \text{ s}$ on a level road. What is the average power delivered by the engine, assuming no friction or air resistance?

A $1500 \text{ kg}$ car traveling at $20 \text{ m/s}$ brakes and comes to rest. What is the magnitude of the total work done by the braking force?

A $2.0 \text{ kg}$ ball initially moving at $5.0 \text{ m/s}$ is acted upon by a net force that does $+36 \text{ J}$ of work on it. What is the ball's final speed?

A $2.0 \text{ kg}$ ball moving at $6.0 \text{ m/s}$ collides head-on with a $2.0 \text{ kg}$ ball at rest. The collision is perfectly elastic. What are the velocities of the two balls after the collision?

A $2.0 \text{ kg}$ ball on a string moves in a horizontal circle of radius $0.50 \text{ m}$ at a constant speed of $3.0 \text{ m/s}$. What is the magnitude of the centripetal acceleration?

A $2.0 \text{ kg}$ block is held against a vertical wall by a horizontal force $F$ pressing it into the wall. The coefficient of static friction between the block and the wall is $0.50$. Using $g = 10 \text{ m/s}^2$, what is the minimum force $F$ that prevents the block from sliding down?

A $2.0 \text{ kg}$ block is pushed up a frictionless ramp of length $5.0 \text{ m}$, rising a vertical height of $3.0 \text{ m}$ from the floor to a table. Use $g = 10 \text{ m/s}^2$. How much work does gravity do on the block during this trip?

A $2.0 \text{ kg}$ block oscillates on a horizontal spring, reaching a maximum speed of $3.0 \text{ m/s}$ as it passes through equilibrium. What is the elastic potential energy stored in the spring when the block is at its maximum displacement?

A $2.0 \text{ kg}$ cart moving at $6.0 \text{ m/s}$ collides head-on and perfectly elastically with a $4.0 \text{ kg}$ cart at rest. What is the velocity of the $2.0 \text{ kg}$ cart immediately after the collision?

A $2.0 \text{ kg}$ cart moving right at $6.0 \text{ m/s}$ collides head-on with a $4.0 \text{ kg}$ cart moving left at $3.0 \text{ m/s}$. The carts stick together. What is their common velocity immediately after the collision?

A $2.0 \text{ kg}$ cart starts from rest on a frictionless track. A force-time graph shows the net force on the cart: a constant $+6.0 \text{ N}$ for the first $2.0 \text{ s}$, then a constant $-2.0 \text{ N}$ for the next $3.0 \text{ s}$. What is the cart's velocity at $t = 5.0 \text{ s}$?

A $2.0 \text{ kg}$ lab cart on a level track speeds up uniformly from $3.0 \text{ m/s}$ to $9.0 \text{ m/s}$ in $2.0 \text{ s}$. What is the magnitude of the net force on the cart?

A $2.0 \text{ kg}$ solid sphere ($I = \frac{2}{5}MR^2$, $R = 0.10 \text{ m}$) rolls without slipping at a translational speed of $3.0 \text{ m/s}$. What is the total kinetic energy of the sphere?

A $20 \text{ kg}$ crate is lowered $5.0 \text{ m}$ at constant speed by a rope. Use $g = 10 \text{ m/s}^2$. How much work does the rope's tension do on the crate during the descent?

A $20 \text{ kg}$ crate is pushed across a horizontal floor at constant velocity by a horizontal force. The coefficient of kinetic friction between the crate and floor is $\mu_k = 0.25$. Use $g = 10 \text{ m/s}^2$. What is the magnitude of the applied force?

A $25.0 \text{ mL}$ sample of $0.100 \text{ M}$ acetic acid ($K_a = 1.8 \times 10^{-5}$) is titrated with $0.100 \text{ M}$ NaOH. What is the pH after exactly $12.5 \text{ mL}$ of the base has been added?

A $25.0\ \text{mL}$ sample of $0.200\ M$ HBr is titrated with $0.100\ M$ KOH. What volume of the KOH solution is required to reach the equivalence point?

A $3.0 \text{ kg}$ block is pushed $5.0 \text{ m}$ up a frictionless incline that makes a $30^\circ$ angle with the horizontal by a force parallel to the incline. Use $g = 10 \text{ m/s}^2$. What is the work done by gravity on the block during this displacement?

A $3.0 \text{ kg}$ block on a frictionless horizontal table is connected by a light string over a frictionless, massless pulley to a $2.0 \text{ kg}$ block hanging vertically. Using $g = 10 \text{ m/s}^2$, what is the acceleration of the system when released?

A $3.0 \text{ kg}$ metal object with volume $5.0 \times 10^{-4} \text{ m}^3$ hangs from a string, fully submerged in water ($\rho = 1000 \text{ kg/m}^3$, $g = 10 \text{ m/s}^2$). What is the tension in the string?

A $3.0 \text{ kg}$ object experiences a net force of $12 \text{ N}$ to the east. What is the acceleration of the object?

A $3.0 \text{ kg}$ object moves to the right at $4.0 \text{ m/s}$ and a $1.0 \text{ kg}$ object moves to the left at $8.0 \text{ m/s}$. What is the velocity of the center of mass of the system?

A $3000 \text{ kg}$ railroad car moving at $2.0 \text{ m/s}$ couples with an identical $3000 \text{ kg}$ car at rest on a straight, level track. What is the speed of the joined cars immediately after coupling?

A $4.0 \text{ kg}$ block is on a rough incline at $30^\circ$ with $\mu_k = 0.20$. The block is given a push and slides up the incline. Use $g = 10 \text{ m/s}^2$, $\sin 30^\circ = 0.50$, $\cos 30^\circ = 0.87$. What is the magnitude of the block's acceleration while it slides up?

A $4.0 \text{ kg}$ block slides across a rough horizontal surface. Its speed decreases from $6.0 \text{ m/s}$ to $2.0 \text{ m/s}$ over a distance of $4.0 \text{ m}$. What is the magnitude of the friction force acting on the block?

A $4.0 \text{ kg}$ box slides $3.0 \text{ m}$ across a horizontal floor while a constant friction force of $8.0 \text{ N}$ acts on it. How much work does friction do on the box? Use $g = 10 \text{ m/s}^2$.

A $4.0 \text{ kg}$ cart moving at $3.0 \text{ m/s}$ to the right collides with a $2.0 \text{ kg}$ cart at rest. After the collision, the two carts stick together. What is their combined velocity after the collision?

A $4.0 \text{ kg}$ cart moving at $6.0 \text{ m/s}$ collides with an $8.0 \text{ kg}$ cart at rest, and the two stick together. How much kinetic energy is converted to other forms during the collision?

A $4.92 \text{ g}$ sample of a hydrate, $\text{MgSO}_4 \cdot x\text{H}_2\text{O}$, is heated to constant mass, leaving $2.40 \text{ g}$ of anhydrous $\text{MgSO}_4$ (molar mass $120.36 \text{ g/mol}$). What is the value of $x$? (Molar mass of $\text{H}_2\text{O} = 18.02 \text{ g/mol}$)

A $5.0 \text{ kg}$ block rests on a frictionless horizontal surface. Two horizontal forces act on the block: a $20 \text{ N}$ force to the right and a $12 \text{ N}$ force to the left. What is the magnitude and direction of the block's acceleration?

A $5.0 \text{ kg}$ block slides across a horizontal floor where the coefficient of kinetic friction is $0.40$. Using $g = 10 \text{ m/s}^2$, what is the magnitude of the kinetic friction force on the block?

A $5.0 \text{ kg}$ block slides down a frictionless incline that makes an angle of $37^\circ$ with the horizontal. Use $g = 10 \text{ m/s}^2$, $\sin 37^\circ = 0.60$, and $\cos 37^\circ = 0.80$. What is the normal force on the block and its acceleration down the incline?

A $5.0 \text{ kg}$ metal block has a density of $2500 \text{ kg/m}^3$. It is completely submerged in water ($\rho_{water} = 1000 \text{ kg/m}^3$). What is the apparent weight of the block in water? Use $g = 10 \text{ m/s}^2$.

A $50 \text{ kg}$ ice skater at rest throws a $5.0 \text{ kg}$ ball horizontally at $10 \text{ m/s}$. What is the skater's recoil speed? (Assume the ice is frictionless.)

A $50 \text{ kg}$ rider on a Ferris wheel moves in a vertical circle of radius $5.0 \text{ m}$ at a constant speed of $5.0 \text{ m/s}$. Using $g = 10 \text{ m/s}^2$, what normal force does the seat exert on the rider at the lowest point of the ride?

A $50 \text{ kg}$ sprinter accelerates from rest to $10 \text{ m/s}$ in $5.0 \text{ s}$ on level ground. What average power does the sprinter develop over this interval?

A $50.0\ \text{g}$ piece of copper cools from $95.0\,^{\circ}\text{C}$ to $25.0\,^{\circ}\text{C}$. Given that the specific heat capacity of copper is $0.385\ \text{J/(g}\cdot{}^{\circ}\text{C)}$, how much heat does the copper release?

A $6.0 \text{ kg}$ object at rest on a frictionless surface explodes into two pieces. The $2.0 \text{ kg}$ piece flies east at $9.0 \text{ m/s}$. What is the velocity of the $4.0 \text{ kg}$ piece?

A $6.0 \text{ kg}$ toy boat floats at rest on a pond. Using $g = 10 \text{ m/s}^2$, what is the buoyant force acting on the boat?

A $60 \text{ kg}$ person jumps from a ledge and lands on the ground, coming to rest. The person's velocity just before landing is $5.0 \text{ m/s}$ downward. If the person bends their knees and takes $0.50 \text{ s}$ to stop, what is the average net force on the person during landing?

A $60 \text{ N}$ force is applied to the end of a $0.30 \text{ m}$ wrench at an angle of $30°$ to the wrench handle. What is the magnitude of the torque about the bolt at the other end of the handle?

A $8.0 \text{ kg}$ sled is pulled $12 \text{ m}$ along a horizontal surface by a rope that makes an angle of $60^\circ$ with the horizontal. The tension in the rope is $40 \text{ N}$. How much work does the rope do on the sled?

A 0.10 M solution of a weak acid HA has a pH of 3.00 at 25°C. What is the acid dissociation constant, Ka, for HA?

A 25.0 g sample of a metal at 100.0°C is placed into 50.0 g of water at 22.0°C. The final temperature of the system is 24.5°C. What is the specific heat capacity of the metal? (c_water = 4.18 J/(g·°C))

A 5.00 L container holds an unknown gas at 25°C and 760 mmHg. The gas has a mass of 8.80 g. What is the molar mass of the gas? (R = 0.0821 L·atm/(mol·K))

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If two marbles are drawn at random without replacement, what is the probability that both marbles are red?

A bakery's bread recipe uses flour and sugar in a ratio of 5 to 2 by the cup. If a batch uses 20 cups of flour, how many cups of sugar does it use?

A ball attached to a string is whirled in a horizontal circle at constant speed on a frictionless table. At the instant the string suddenly breaks, which path does the ball follow?

A ball is dropped from rest from a bridge and takes $3.0 \text{ s}$ to reach the water below. Use $g = 10 \text{ m/s}^2$ and ignore air resistance. How high is the bridge above the water?

A ball is in projectile motion after being thrown at an angle above the horizontal. Ignoring air resistance, which statement correctly compares the ball's acceleration while rising, at the peak, and while falling?

A ball is kicked from ground level at $20 \text{ m/s}$ at an angle of $30^\circ$ above the horizontal. Use $g = 10 \text{ m/s}^2$ and ignore air resistance. What is the maximum height reached by the ball?

A ball is kicked from ground level, and its height in feet after $t$ seconds is modeled by $h(t) = -16t^2 + 64t$. According to the model, after how many seconds does the ball return to the ground?