Unit 2 · Topic questions

Two 12 cm materials, A and B. Density of B is twice A. Find the mass ratio of the left piece to the right piece after the cut.

Six identical spheres form triangles A and B. Compare y_cm,a to y_cm,b.

A system consisting of three identical uniform bars is placed in four different locations on the -plane as shown. At which of the four locations is the syste...

A non-uniform bar is launched and lands at the same level. Distance d runs from the right end at launch to the left end at landing. Choose the x_cm orientations that maximize d.

A platform is balanced at P (7.0 m, 1.0 m). Place a 4.0 kg rock so the three-rock platform system stays balanced with the 1.0 kg and 3.0 kg rocks already on it.

A long rod lies along the -axis with one end of the rod at the origin. The rod’s linear density is where and . What is the -position of the center of mass of...

A system consists of three uniform spheres connected by a uniform rod passing through the center of each sphere. The rod has a length of and mass of , and th...

A uniform sheet of cardboard is cut into an “ ” shape as shown. One end of string is attached at point , and the object is held vertically at rest by the str...

Three small, uniform objects, , , and , are arranged as shown with each object’s center of mass a distance from the origin. Objects and each have the same ma...

A block is at rest on a desk’s horizontal surface. A student correctly identifies the forces exerted on the block as the force of Earth on the block and the ...

A student pushes a box across a rough horizontal surface. Which of the following includes all the forces exerted on the box that are a result of interatomic ...

At the instant shown in the figure, a string attached to a box on an inclined surface is pulling straight up on the box. There is negligible friction between...

Two blocks, and , are attached together with a string and pulled up an incline by another string attached to Block , as shown. The string between the blocks ...

An Atwood’s machine consists of two blocks attached to a string that passes over a pulley, as shown. Block and Block have masses of and respectively, where ....

A box slides up a short, inclined ramp and continues to travel beyond the ramp. Friction and air resistance are negligible. Point is located on the ramp and ...

A toy car pushes two identical blocks, Block and Block , up an inclined ramp at a constant velocity, as shown. The force of friction between the incline and ...

A large box of mass is at rest on a platform of mass , where . These objects are suspended by two strings and each string passes over a separate pulley attac...

Two different blocks, and , are next to each other on an inclined smooth surface which has negligible friction. An applied force, , pushes Block as shown and...

An astronaut is holding a cord attached to a large rock in deep space, as shown. The rock and the astronaut are at rest relative to a nearby spaceship. The m...

A block with a weight of hangs vertically by a rope, with uniform density, attached to a hook as shown. The weight of the rope is . Which statement best desc...

A cart moving to the right collides with a stationary block, resulting in the two objects sliding together along the horizontal surface until coming to stop....

An elephant pushes two heavy boxes across a rough surface. The force that Box exerts on Box is and the force that Box exerts on Box is . Which of the followi...

A box rests on a horizontal floor, up against a wall. A student then pushes the box such that the box exerts a force on the wall, and the wall exerts a force...

A launcher with mass is compressed by a block with mass , where . The launcher is on a horizontal surface with negligible friction. Just after the block exit...

Two blocks, and , are pushed at constant speed across a rough horizontal surface by a horizontal force , as shown. The force exerted on Block by Block is and...

A block and cart, connected by an ideal string, are moving along a horizontal surface as shown. The mass of the block is greater than the mass of the cart. A...

A block on a horizontal, rough surface is connected to a hanging block by a string that passes over a pulley, as shown. The mass of the hanging block is grea...

A constant, horizontal tension is exerted on a box as it slides to the right across a rough, horizontal surface, as shown in the figure. In the region to the...

Three coplanar forces are exerted on an object which is at rest. Two of the forces are shown in the diagram. What is the magnitude of the third force if the ...

Two students are pushing a box with horizontal forces in opposite directions along a rough, horizontal surface. The magnitudes of these forces are and . If t...

An object is moving while a constant force is exerted on it. Could the addition of a force of the same magnitude cause the object to move with a constant vel...

A mass is supported by two strings attached to the ceiling which have tensions and at angles and below the horizontal as shown in the figure. If , what is th...

A heavy block is suspended by a string which is attached to plastic ring. The ring is attached to two other strings which are tied to vertical supports at th...

A ring is at rest and then three horizontal forces are exerted on it as shown in the top view figure. A short time after these forces are exerted on the ring...

A block is suspended from the ceiling and wall by light strings as shown in the figure. String is at an angle below the horizontal and String is horizontal. ...

A glider on a horizontal air track with negligible friction has a constant rightward force exerted on it between time and . At the rightward force suddenly b...

Three blocks are in contact with each other, and they are at rest on a horizontal surface with negligible friction. The masses of the blocks are , , and , as...

A small block of mass is moving along a horizontal surface when it collides with a large block of mass , which is initially at rest. Friction between the blo...

A system consists of three discrete masses, and a different rightward force is exerted on each mass. A force is exerted on the mass, a force is exerted on th...

A hanging block of mass is connected to an identical block of mass on a horizontal surface with negligible friction by a light cord over an ideal pulley, as ...

Two horizontal forces cause an object to move with an acceleration to the right. The force is exerted to the left, with magnitude , and the force is exerted ...

A object with three constant forces exerted on it has an acceleration at an angle of above the horizontal as shown in the figure. Two of the forces are given...

Three large blocks, , , and , and a small block attached to Block slide across a horizontal surface as a constant force is exerted on Block , as shown in the...

Two identical blocks are placed on a table as shown in the figure. The block on the left is attached to another identical block hanging over the edge of the ...

Two forces, and , exerted in opposite directions as shown in the figure, cause an object to move with an acceleration of magnitude . If these forces are inst...

Planet is a spherical planet of uniform density. Which of the following describes the gravitational field inside Planet ?

A large spherical shell with a uniform mass distribution contains a small object within the thickness of the shell, as shown in the figure. At which of the f...

Asteroid is spherical in shape with a mass and radius . Asteroid , also spherical, has a mass and radius . A small space probe of mass experiences a gravitat...

A sphere of radius and uniformly distributed mass is concentric with a thin spherical shell of radius and uniformly distributed mass . What is the gravitatio...

A rocket of initial mass is on the surface of a planet of radius and mass . The rocket is then launched into a circular orbit. When the rocket has reached it...

The gravitational field of a spherically symmetric object of radius as a function of distance from the object’s center is shown in the graph. Which of the fo...

A large sphere of uniform density has a radius and a mass . A much smaller object of mass is located within the sphere at a distance from the sphere’s center...

Four identical objects, each of mass , are located at each of four corners of a square of side length . What is the magnitude of the gravitational force exer...

Two satellites orbit Earth at different altitudes. Satellite has mass and orbits at a distance from Earth’s center. Satellite has mass and orbits at a distan...

Block of mass is on a horizontal surface and is pulled at a constant velocity to the right by a string, as shown in the figure. Block of mass is on Block and...

A block is held at rest near the top of a rough incline that makes an angle of from the horizontal. The block is then released and starts moving with a const...

A string is attached to a block that lies on a horizontal table with a rough surface. In three different trials, the string pulls the block along the table a...

A rectangular block is pushed by a constant force and accelerates along a rough horizontal surface. The block can be oriented to slide along any of three dif...

A box is initially held at rest on a ramp with an incline of with respect to the horizontal and then released. The coefficients of static and kinetic frictio...

A block of mass is at rest on a ramp inclined at an angle of with the horizontal. The coefficient of static friction between the ramp and block is . The angl...

A small block of mass is on top of a large block of mass on a ramp that is at an angle from the horizontal, as shown in the figure. The large block is pulled...

A block is given an initial velocity up an incline that makes an angle of from the horizontal. As it is sliding up the incline, the block is slowing down wit...

A block of mass rests on a rough horizontal tabletop, as shown in the figure. The block is connected by a string to a second block of mass , which hangs belo...

Two springs are each fixed in place at one end and lie on a horizontal surface, with negligible friction between the surface and either spring. One of the sp...

When a block of mass is hung vertically from a spring, the spring is stretched by a distance compared to its unstretched length. If a second identical spring...

A group of students is experimenting with two springs, Spring and Spring . Spring stretches by a distance of when a block weighing is hung vertically from it...

A block is initially held up by a combination of two identical springs, each with a spring constant , as shown in Figure . The combined two-spring system has...

A block is hung vertically from an ideal spring, stretching the spring by . The block is removed, and the spring is cut into two segments of equal length. Wh...

Figure and Figure show identical blocks of mass hanging from identical springs, each with a spring constant . In Figure , the springs are connected in series...

Three identical ideal springs each having a spring constant are connected end to end. Which of the following describes the effective spring constant of the t...

Some students attach a single spring to a clamp and let the spring hang vertically. Objects of different mass are attached to the free end of the spring and ...

A block hangs at rest at the end of an ideal spring with spring constant as shown in Scenario . In Scenario , a second ideal spring with a spring constant , ...

An object of mass falling near Earth’s surface experiences a resistive force of , where is a positive constant with units of and is in . What is the magnitud...

Two spheres, and , of identical size and surface material, but different masses, are dropped from rest near the surface of Earth. While falling, each sphere ...

A student is investigating the motion of a coffee filter as it falls to the ground through the air. A graph of the velocity of the coffee filter as a functio...

An object of mass is released from rest at time near Earth’s surface and experiences a resistive force of , where is a positive constant with units of and is...

An object of mass is moving horizontally in a region where there is a resistive force , where is a positive constant with units of and is in . The gravitatio...

An object is released from rest and falls to the ground near Earth’s surface. The resistive force exerted on the object is directly proportional to the speed...

An object is dropped from rest at near Earth's surface and experiences a resistive force of magnitude , where is the speed of the object and is a constant wh...

An object falling near Earth’s surface has two forces exerted on it: the gravitational force and a resistive force that is proportional to the object’s veloc...

A ball is thrown straight up into the air near Earth’s surface and eventually returns to the ground. While in the air, the ball has a velocity and experience...

Two identical blocks slide along two different vertical loops of radii and . At the top of each loop, the blocks have the minimum velocity required to remain...

A small block of mass sits on a horizontally rotating platform, a distance from the axis of rotation. The coefficient of static friction between the block an...

Two small blocks, and rotate without slipping on a horizontal disk with Block being twice as far from the rotational axis of the disk as Block . The blocks a...

An object of mass is attached to the end of a string. The string is spun around in a vertical circle of radius . When the object is at the top of its path, t...

An object of mass attached to a string is moving in a vertical circle of radius . When the object is at the height of the center of the circle , as shown in ...

A sphere hangs at the end of a string of length and is spun around in a horizontal circle at a constant speed forming a conical pendulum with an angle with t...

Two cars, Car and Car , are going around the same horizontal curve. Car maintains a constant speed throughout the turn, while Car slows down at a constant ra...

In a demonstration, a physics teacher swings a bucket of water in a vertical circle, and the water does not spill out of the bucket. Which statement correctl...

Planet is in a circular orbit around Star , and Planet is in a circular orbit around Star . The radius of Planet ’s orbit is twice the radius of Planet ’s or...