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Impact Shock Test and Collision Situations

Airplane flight recorders must be able to survive catastrophic crashes. They typically are encased in crash-resistant steel boxes. One of the tests is an impact shock test, in which the box must survive being thrown at high speeds against a barrier. A 41 kg box is thrown at a speed of 220 m/s and is brought to a halt in a collis

Projectile Motion and Classical Mechanics

(See attached file for full problem description with diagrams) --- A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 16.0 m/s. The cliff is h = 22.0 m above a flat horizontal beach, as shown in Figure P3.24. Figure P3.24 How long after being released does the stone stri

Projectile motion and geometry problems involving cosine law and sin law.

1. A ball thrown vertically upward is caught by the thrower after 4.00 s. (a) Find the initial velocity of the ball. m/s (b) Find the maximum height it reaches. m 2. A mountain climber stands at the top of a 40.0 m cliff that overhangs a calm pool of water. She throws two stones vertically downward 1.00 s apart and

Find the tension in the cable.

A stuntman is being pulled along a rough road at a constant velocity, by a cable attached to a moving truck. The cable is parallel to the ground. The mass of the stuntman is 109 kg, and the coefficient of kinetic friction between the road and him is 0.87 . Find the tension in the cable.

Kinematics: Motion in One Dimension

Problem #1. A car traveling at constant speed of 30m/s passes a trooper hidden behind a bush. Once second after the speeding car passes the bush, the trooper sets off in chase with a constant acceleration of 3.0 m/s2. How long does it take the trooper to overtake the speeding car? How far does the trooper travel during this tim

Set of 5 problems on kinematics

1) A car covers one-quarter of the distance to the next town at 40km/h, another quarter at 50 km/h and the rest at 90km/h. Find the car's average speed for the entire distance. 2) In order to qualify for the finals in a racing event, a race car must achieve an average speed of 250km/h on a track with a total length of 1600

One end of a spring is attached to a solid wall...

One end of a spring is attached to a solid wall while the other end just reaches to the edge of a horizontal, frictionless tabletop, which is a distance H above the floor. A block of mass M is placed against the end of the spring and pushed toward the wall until the spring has been compressed a distance X. The block is released

Motion in two dimensions, projectile motion.

A bird is flying horizontally at 6.0 m/s with a fish in its mouth. It accidentally drops the fish. How much time passes before the fish's speed doubles? and how much additional time would be required for the fish's speed to double again?

Physics problems: Velocity, Speed, Acceleration

1) Wiley Coyote has missed the elusive roadrunner once again. This time, he leaves the edge of the cliff at 50 m/s horizontal velocity. If the canyon is 100 meters deep, how far from the edge of the cliff does the coyote land? a) 100 meters b) 200 meters c) 225 meters d) 250 meters e) 300 meters 2) An artillery she

Total Displacement and Average Velocity

A motorist drives north for 35 min. at 85 km/h and then stops for 15.0 min. He then continues north, traveling 130 km/h in 2 hours. (A) What is his total displacement? (B) What is his average velocity?

For women's volleyball the top of the net is 2.24 m above the floor

For women's volleyball the top of the net is 2.24 m above the floor and the court measures 9.0 m by 9.0 m on each side of the net. Using a jump serve, a player strikes the ball at a point that is 3.0 m above the floor and a horizontal distance of 8.0 m from the net. If the initial velocity of the ball is horizontal, a) what mi

Applications of the Doppler Effect

1. A cyclist and a railway train are approaching each other. The cyclist is moving at 10m/s and the train at 20m/s. the engine driver sounds a warning siren at a frequency of 480 Hz. Calculate the frequency heard by the cyclist (a) before and (b) after the train has passed by. (speed of sound in air = 340m/s). 2. For the equa

3 Circular Motion Problems

1. A circular disk of radius 30 cm is rotating with an angular acceleration of 1 radian/ s2. What is the tangential acceleration of a point on the rim of the disk? What is its centripetal acceleration if the angular speed is 3 rev / s? 2. A 980 Kg car traveling at 20 m/s rounds a curve of radius 40 m. What is the friction f

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

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.

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?

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.

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.