Velocity

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Speed

A hoop of 0.5 m and a mass of 0.2 kg is released from rest five meters above the horizontal and allowed to roll down an inclined plane. How fast is it moving when it is 2 meters above the horizontal?

(See attached file for full problem description and equations) --- A stone is thrown vertically upwards so that its height, measured in feet, after t seconds is given by s(t) = 100t - 16t2. What is its initial velocity? Determine the maximum height of the stone and the time of flight of the stone. ---

Linear and angular velocity.

(See attached file for full problem description with equations) --- A bullet is shot through two cardboard disks attached a distance D apart to a shaft turning with a rotational period T, as shown. (see diagram in attachment) a) Derive a formula for the bullet speed V in terms of D, T, and a measured angle between

Velocity of rocket exceeding the velocity of exhaust gas

It is possible for the velocity of a rocket to be greater than the exhaust velocity of the gases it ejects? When that is the case, the gas velocity and momentum are in the same direction as the rocket's. How does the rocket still obtain thrust by ejecting the gases?

Motion in a straight: 6 problems

1. Calculate the average speed of the Earth in its orbit about the sun. (The radius of the orbit is 1.5 x 10^11 meters.) Give this in m/s and in miles/h. Now, what is the average velocity of the earth, averaged over one year's time? 2. Is it possible for speed to be constant while acceleration is not zero? Give an example.

Leonardo da Vinci's law of motion

Leonardo da Vinci, in the fifteenth century, formulated a different law of motion. He proposed that the distances fall in successive equal intervals of time are proportional to the consecutive integers. That is, suppose that, starting from rest, a body falls one foot in the first time interval. Then the body will traverse two fe

Ballistics cart on an incline

In a demonstration known as the ballistics cart, a ball is projected vertically upward from a cart moving with constant velocity along the horizontal direction. The ball lands in the catching cup of the cart because both the cart and ball have the same horizontal component of velocity. Now consider a ballistics cart on an inclin

Mechanics Problems

How many significant numbers do each of the following numbers have? a. 214 b. 81.60 c. 7.03 d. 0.03 e. 0.0086 f. 3236 g. 8700 NOTE the 10 with a number after in () is power of ten/ scientific Notation Write the following numbers in full with the correct number of zeros. a. 8.69x10(4) b. 9.1x10(3) c. 8.8x10(-1) d.

Cross-linking a Polymer

Cross-linking a Polymer Objective The objective of this experiment is to crosslink a polymer and observes the changes in the physical properties of the polymer as a result of the crosslinking. Changes in physical properties are also sensitive to amount of crosslinking. This experiment could be expanded to investigate vario

Two-dimensional kinematics colliding cars

Two cars lost in a blinding snowstorm are traveling across a large field, each thinking they are on the road, as shown in the figure on the left. They collide. If the distance x is 124 meters and the red car is travelling at 12.7 mph, how fast to the nearest hundredth of a mph was the blue car travelling?

Simple problems on physics

1) A stone is thrown vertically upward with a speed of 18.0m/s. A.how fast is it moving when it reaches a height of 11.0m? B.how long is it required to reach this height? C.Why are there two answers to b.? 2) A falling stone takes 0.28s to travel past a window 2.2m tall. From what height above the top of

Classical Mechanics - Velocity of a bullet and a Bicyclist

A passenger at rest on a flatbed train car fires a bullet straight up. The event is viewed by observers at rest on the station platform as the train moves past the platform with constant velocity. What is the trajectory of the bullet as described by the observers on the platform? A a straight horizontal path in the directi

A Marble Rotating Inside a Hemispherical Bowl

How do I relate the angular velocity of the marble to the height at which it is rotating inside the bowl?

Finding the velocity of an electron accelerated

Question: For an accelerating voltage of 900 V calculate the time taken for an electron to reach the anode after being accelerated from rest (u=0) at the cathode of a CRT. Anode-cathode separation is 1cm. I am looking for the working's out for this problem and the answer.

Relativistic Electrons Example Problem

Two relativistic electrons are ejected simultaneously from a piece of potassium in opposite directions each is traveling with a speed of 0.5c with respect to the metal. a) what is the velocity of electron 1 with respect to electron 2? b) what is the velocity of electron 2 with respect to electron 1?

Relativistic formulas

At what velocities do the relativistic formulas for length contraction and time dilation give a 1% difference from classical values?

Velocity of a wave if its peak-to-peak cycles each require

What is the velocity of a wave if its peak-to-peak cycles each require .000049 seconds and its wavelength is .456 meters?

How to Use Completing the Square to Find Meximum Height

1) A baseball is hit from a height of 0.8m. After t seconds. its height h, in metres is measured by h = -5t^2 + 20t + 0.8 a) use the method of completing the square to find the maximum height of the ball? b) How long is the ball in the air?

If water flows through a tube whose radius is .02 m, then what will be the pressure after the tube narrows to radius .01m?

If water flows at 1.5 m/s with pressure 60000N/m^2, through a tube whose radius is .02 m, then what will be the pressure after the tube narrows to radius .01m?

Calculate the Average Force of Particles Colliding with a Wall

What is the average force associated with 100 * 10^6 particles, each of a mass 8.280912E-06 Kg, colliding elastically with a wall at a velocity of 102.1 m/s, with directions randomly distributed in 3 dimensions? Assume that the wall is one of the parallel walls of a cylinder with the walls separated by 3 meters.

Kinematics: Determining Distance Traveled From Average Velocity

In reaching her destination, a backpacker walks with an average velocity of 1.14 m/s, due west. This average velocity results, because she hikes for 6.17 km with an average velocity of 2.53 m/s, due west, turns around, and hikes with an average velocity of 0.747 m/s, due east. How far east did she walk (in terms of km)?

Wave on a string: Amplitude, frequency, time, speed, distance

A wave on a string is described by the equation y=12cos(1.57 x - 6.28 t). The lengths are measured in cm and time is s. Determine, (a) the amplitude, frequency, and the the time it takes for the wave to repeat itself. (b) the speed of the wave and the distance a peak of the wave travels at 3T + .5 s.

Addition vector of two velocities

When a truck creeps along in traffic at a speed of 5 m/s, a man walks diagonally across the back of the truck at 3m/s. To a traffic helicopter in a stationary position above the road the road, the man's apparent motion is the superposition of these two motions; that is, his apparent velocity is the vector sum of the two given ve

Telephone with cans - waves in a stretched string

A brother and sister try to communicate with a string tied between two tin cans. If the string is 9.5 m long, has a mass of 32 g, and pulled taut with a tension of 8.6 N, how long does it take a wave to travel from one end of the string to the other?

Finding Ratio of Wave Speeds in Two Strings

Two steel guitar strings have the same length. String A has a diameter of 0.50 mm and is under 410.0 N of tension. String B has a diameter of 1.0 mm and is under a tension of 820.0 N. Find the ratio of the wave speeds, vA/vB, in these two strings.

Sound

1) Sound waves travel through an aluminum bar at a speed of 1400 m/s. If the frequency of the sound wave is 880 Hz, what is the distance between crests on a sound wave traveling through aluminum? 2) An airplane flies horizontally at a constant speed, piloted by rescuers who are searching for a disable

What is the final speed at the end of that displacement?

1. A car slowed from 30 m/s to 20 m/s in 50. m. How long did it take for this to happen? 2. An auto with an initial velocity of 7.0 m/s accelerates at 0.71 m/s^2. It travels a distance of 1.0 km while accelerating. What is the final speed at the end of that displacement?

Physics: How tall is the building?

1. A steel ball bearing is dropped from the roof of a building. An observer standing in front of a window 120 cm high notes that the ball takes 0.125s to fall from the top to the bottom of the window. The ball bearing continues to fall, makes a completely elastic collision with a horizontal sidewalk, and reappears at the bottom

A 50 g ball of putty

A 50 g ball of puty moving with a velocity of 3.0 m/s has an inelastic collision head on with a stationary mass of 50 g and sticks to it. find the velocity of the mass and putty after the collision a. 1.7 m/s b. 1.1 m/s c. 1.5 m/s d. 1.3 m/s

Recoil velocity calculation

A 37.0 kg child standing on a frozen pond throws a 0.500 kg stone to the east with a speed of 6.00 m/s. Ignoring friction between the child and the ice, find the recoil velocity of the child. (Assume the positive direction is to the east.) m/s