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# Velocity

### Angular velocity and centripetal force.

A 25.0kg sled rests on a frictionless surface. It is attached by a 5.00m rope to a post in the ice. Once given a push, the sled revolves uniformly in a circle around the post. If the sled makes five complete revolutions every minute, what is the force (F) that is exerted on it by the rope?

### Projectile Motion

A cannon, located 60.0m from the base of a vertical 25.0m tall cliff, shoots a 15kg shell at 43.0 digress above the horizontal toward the cliff. 1). What must the minimum muzzle velocity be for the shell to clear the top of the cliff? 2) The ground at the top of the cliff is level, with a constant elevation of 25.0m

### You are driving north on a highway. Then, without changing speed, you round a curve and drive east.

You are driving north on a highway. Then, without changing speed, you round a curve and drive east. a) Does your velocity change? b) Do you accelerate? Explain

### Physics: Acceleration, order of magnitude calculations, velocity vector, initial velocity, Newton's first law, constant velocity

A helium-filled balloon for a birthday party is being brought home in a car. As the car accelerates away from a stoplight, in which direction does the balloon move relative to the car? Explain. Estimate how many 20 cm x 20 cm tiles it would take to tile the floor and three sides of a shower stall. The stall has a square floor

### Simple harmonic motion: amplitude, period and acceleration.

A 0.500-kg mass on a spring has velocity as a function of time given by: Vx(t)=(3.60 cm/s)*sin[(4.71s^(-1))*t-Pi/2] A) What is the period of the mass in s? B) What is the amplitude of the mass in cm? C) What is the maximum acceleration of the mass in cm/s^2?

### Problems on kinematics and dynamics

6.) An airplane flies due south with respect to the ground at an air speed of 900 km/h for 2.0 hr before turning and moving southwest with respect to the ground for 3.0 hr. During the entire trip, a wind blows in the easterly direction at 120 km/h. (a) What is the plane's average speed with respect to the ground? (b) What is the

### Linear Velocity of the Tire

If the tires on a bicycle have an angular velocity of 1 rad/s and a radius of 0.5 m, what is the linear velocity of the tire? How far will the bicycle travel in 10 seconds? a. linear velocity = 5 cm/s, distance = 50 meters b. linear velocity = pi m/s, distance = 10 pi meters c. linear velocity = 1 m/s, distance = 10 meters

### Calculations Related to Impulse/Momentum

An 85-kg jogger is heading due east at a speed of 2.0 m/s. A 55-kg jogger is heading 32° north of east at a speed of 3.0 m/s. Find the magnitude and direction of the sum of the momenta of the two joggers.

### Electricity: Rotating rod with angular velocity around the axis

See attached file for full problem description. Electricity: Rotating rod with angular velocity around the axis. What is the potential difference across the rod?

### Effect of air drag on an object thrown upwards

A ball was thrown upward with a velocity u. What is the maximum height that the ball reaches? What is the final velocity of the ball when it hits the ground? Is it same as the initial velocity? Assume that the air resistance is NOT negligible.

### Standing waves on stretched string

a) A 2.00m long wire having a mass of 0.1kg is fixed at both ends. The tension of the wire is maintained at 20N. When the wire is vibrating the first node is observed at a point 0.40m form one end. (i) In what mode is the wire vibrating? (i.e. fundamental, 10th harmonic etc.) (ii) With what frequency is it vibrating?

### Constant angular acceleration, velocity and centripetal acceleration ot point on a wheel

A wheel starts from rest and rotates about its axis with constant angular acceleration. After 6.8 seconds have elapsed, it has rotated through an angle of 25 radians. A) What is the angular acceleration of the wheel? B) What is the angular velocity when the time t = 6.8 seconds? C) What is the centripetal acceleration of

### Average Angular Velocity of a Clock

What is the average angular velocity of each of the three hands of a clock? I believe the answer is ω; (second hand) = 0.105 rad/s, ω; (minute hand) = 1.75 x 10^-3 rad/s, ω; = (hour hand) = 1.45 x 10^-4 rad/s. I need to see each step and formula to solve this question.

### Direction and Speed of an Elastic collision

Two billiard balls travel towards each other along a straight line with the same speed. What are their speeds and directions after an elastic collision? I need to see each step and formula to solve this question.

### Elastic Collision of a Ball and the Floor

A ball thrown downward at 2.32 m/s from a height of 1.07 meters above the floor bounces up to a height of 1.34 meters. Is the collision with the floor elastic?

### Description of Momentum

Which is greater, the momentum of a 1645-kg Cadillac De-Ville traveling at 32 km/h or a 1601-kg Mazda Miata traveling at 47 km/h? I believe the Mazda is greater. I need to see each step and formula to solve this question.

### Momentum with Mass and Speed Given

A) What is the momentum of a 109-kg football player running at a top speed of 9.86 m/s? B) What is the momentum of a 9.72-gram rifle bullet traveling at 728 m/s? I need to see each step and formula to solve these questions.

### Momentum and Speed problem

What is the momentum of a 1500-kg Mercedes-Benz 300E traveling at 115.0 km/h? Please show each step and formulas to solve this question.

### Radius of a Water Droplet with Uniform Density

The vaporization velocity in proportion to the surface area at a water droplet of spherical. Find the radius of a water droplet as the function of time when the density is uniform always.

### Variable Linear Mass Density

2. A nonuniform wire of length L and mass M has a variable linear mass density given by mu = kx where x is the distance from one end of the wire and k is a constant. (a) Show that M = (kL^2)/2. (b) Show that the time t required for a pulse generated at one end of the wire to travel to the other end is given by t = sqrt(8ML

### Solving Harmonic Oscillator Problems

(See attached file for full problem description) --- Learning Goal: To derive the formulas for the major characteristics of motion as functions of time for a horizontal spring oscillator and to practice using the obtained formulas by answering some basic questions. A block of mass m is attached to a spring whose spring cons

### Angular Velocity and Power Plants

Please help answer the following questions. Provide step by step calculations for each. It has been argued that power plants should make use of off-peak hours (such as late at night) to generate mechanical energy and store it until it is needed during peak load times, such as the middle of the day. One suggestion has been to

### Relation between terminal velocity and radius

A sphere of mass M and radius R is falling in a viscous fluid. How is the terminal velocity related to R ?

### 3 Problems: Force, Motion, Vectors, Relative velocity

* degree mode Please view attachment 10. Two circus elephants, Bessie and Maybelle, are dragging a large container, as shown below. If Bessie pulls with a force of 2200 lbs. and Maybelle with a force of 1500 lbs, and the container moves along the dashed line, what is the angle? The container is behind both Bessie and Mayb

### Velocity of a ball thrown upwards

A boy / girl (you choose!) throws a ball straight up with a velocity of 35.0 m/s. a. How high is the ball when its velocity has slowed to 22.5 m/s? b. How high is the ball when its velocity is -22.5 m/s? c. What is its velocity when it is caught at the same height as when it was released? d. What is the maximum heigh

### Newton's Law (Merry Go Round)

Merry-Go-Round. Two identical twins, Jena and Jackie, are playing one December on a large merry-go-round (a disk mounted parallel to the ground on a vertical axle through its center) in their school playground in northern Minnesota. Each twin has a mass of m. The icy coating on the merry-go-round surface makes it frictionless. T

### Waves and oscillations: Stretched string

(See attached file for full problem description)

### Change in Velocity of a Vertical Drop

On the center photo of page 43 measure the distance between the two images nearest the 20 cm position of the larger, heavier ball on the left. Use bottom to bottom measurements as shown in a previous figure. Repeat for the two images nearest the bottom left of the photo on page 43. Scale these distances to actual displacement

### Projectile motion using trigonometry

If a pitcher threw a ball horizontally at 101.0 mph, how far would it fall vertically by the time it reached home plate, 60.5 ft away? A daredevil jumps a canyon with walls of equal height and 10 m apart. He takes off by driving a motorcycle off a short ramp sloped at an angle of 15 degrees. What minimum speed must he have in

### Physics help: Newton's laws of motion

A dockworker applies a constant horizontal force of 80.0 N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves 11.0 m in 5.00 s. a) What is the mass of the block of ice? b) If the worker stops pushing at the end of 5.00 s, how far does the block move in th