Physics 50 example problems

For a tube containing mercury and water, find the difference in height of the mercury and water using Pascal's law

Given some measurements of the pressure in a fluid taken on the surface of an unknown planet, use Pascal's law and the universal law of gravitation to find the mass of the planet.

Use Bernoulli's Equation to find the force on an airplane wing and then find the net force acting on the airplane.

Use the continuity equation to find the exit velocity for water in a shower head

For a block of wood floating on top of a layer of water and below a layer of oil, find its mass and density given how high it is floating

Determine the gauge pressure at a given distance below the surface of a fluid using Pascal's law

Find the density of a piece of metal given its mass and volume. Is the metal gold?

For a piece of cheese oscillating on the end of a spring, find out how far the spring will be stretched when the oscillations stop.

Find the gravitational force acting on the moon from the Earth and Sun for moon at three different points in the lunar orbit

Find the tension in ropes holding up a beam in equilibrium.

Find the acceleration of a block on a plane that is attached to a rotating cylinder which has non-negligible moment of inertia

Determine the direction that a gyroscope precesses

Determine the lifting capacity of a motor with a given power and rotation rate

Find the acceleration of a falling yo-yo and the tension in the string as it falls

Find the frictional torque necessary to slow a spinning object a given amount in a given time

Find the torque exerted on an object by each of three different forces

Find the torque that a force exerts on a wrench for six different configurations

Calculate the moment of inertia for a cone.

Solve for the speed of a falling block that must pull another block and spin a pulley that has inertia.

Relate the linear velocity of a car to the angular velocity of the axle as read by the speedometer

Use the parallel axis theorem to find the moment of inertia for a wheel rotating about a point on its rim.

Find the moment of inertia for a wagon wheel given the size and shape of its components.

Find the moment of inertia for a distribution of masses.

Determine the linear acceleration of a point on the edge of a drill bit, given its angular velocity.

Relate the parameters of angular motion for a helicopter rotor blade to the parameters of linear motion for a point on the tip of the blade.

Calculate the change in the angular velocity and angular displacement of a flywheel that is slowing down due to friction

Relate an expression for the angular displacement of a merry-go-round to its angular velocity and angular acceleration

Relate an angle to arc lengths subtended by the angle

Determine the center of mass of an object

Find the velocity of a ball after a head-on elastic collision

Find the speed of a bullet by using the work-energy theorem and conservation of momentum during a collision with a block

Find the velocity of a puck after collision with another puck

Find the velocities of two masses after they are launched by a spring

Find the velocity of a hockey player after being hip-checked

Find the momentum of a moving truck

Solutions to Homework 7 - Gas Guzzling

Solutions to midterm #2

Solutions to the homework where you were asked about the parameters of a rollercoaster

Find the angle of a ramp that causes a block sliding up the ramp to have the minimum speed after sliding a certain distance

Find the parameters of a bungee cord necessary for a given bungee jump

Find the minimum height of a roller-coaster hill for the coaster to go over a loop successfully.

Find the speed a car was traveling given the length of the skid marks it left when it stopped.

Find the force on a particle from the energy diagram. Is it attractive or repulsive?

Check if friction is a conservative force or not by determining the work it does when a book sliding on a table moves in a closed path

Find the energy stored in a spring when it is stretched or compressed

Find the force necessary to lift a sack of sugar. Find the work done.

Find the power necessary to ride a bike at a given speed

Find the work necessary to compress or stretch a spring

Find the initial speed and eventual height of a thrown rock using the work energy theorem

Find the work done reeling in a fish

Solutions to Homework 5 - rides and elevators