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# Velocity

### Velocity of Elastic Balls

Two identical balls are traveling toward each other with velocities of -4.0 and 7.0 m/s and they experience an elastic head-on collision. What are the velocities (magnitude and direction) of each ball after the collision?

### Elastic collision

A 1055kg van, stopped at a traffic light, is hit directly in the rear by a 715 kg car traveling with a velocity of 2.25 m/s. Assume that the transmission of the van is in neutral, the brakes are not being applied, and the collision is elastic. What is the final velocity of (a) the car and )b) the van?

### Recoil Velocity When Firing a Gun

The lead female character in a movie is standing at the edge of an offshore oil rig. As she fires a gun, she is driven back over the edge and into the sea. Suppose the mass of a bullet is 0.010 kg and its velocity is 720 m/s. Her mass (including the gun) is 51 kg. (a) what recoil velocity does she acquire in response to a si

### Recoil velocity on a raft

A 55 kg swimmer is standing on a stationary 210 kg floating raft. The swimmer then runs off the raft horizontally with a velocity of 4.6 m/s relative to the shore. What is the recoil velocity that the raft would have if there were no friction and resistance due to the water?

### Dynamics: Escape Velocity

See attached file for full problem description Escape velocity. We suppose that r = -gR^2/r^2. Suppose that a rocket is fired straight up, from the surface of the Earth with a velocity that is exactly half of the escape velocity. How high will the rocket go?

### Free Fall: Time and Distance

Question: You are at the top of a 500 meter television tower and drop a hammer. For each of the first 7 seconds of free fall, calculate the distance that the hammer falls and its velocity at that particular moment. - How long will the hammer fall until it hits the ground? - What will be the final (terminal) velocity when it

### Free Fall from a Moon Tower

What would the results be if you fell while on a 450 meter tower on the Moon, where a = 1.65m/s^2 ? Given the distance fallen D = (0.5)(1.65)* t^2 (meters) ( V= 1.65 t) Downward Velocity (meters/sec) and the elapsed time is 0,1,2,3,...7 sec.

### Acceleration, velocity, distance

1. How would you describe the change in velocity each second for an accelerating object? 2. How would you describe the amount of distance fallen each second for an accelerating object? 3. a) Is there gravity on the Moon? b) What would happen if you doubled the mass of the object that is falling to the surface?

### Rocket equation of motion and exhaust velocity.

See attached file for full problem description. 1) (a) Consider a rocket traveling in a straight line subject to an external force Fext acting along the same line. Show the equation of motion is mv = - mvex + Fext. (3.29) (b) Specialize to the case of a rocket taking off vertically (from rest) in a gravitational

### Free fall: distance and velocity

You are the top of a 500 meter tower and drop a hammer. For each of the first 7 seconds of freefall, calcucate the distance that the hammer fall, and its velocity at that particular moment.

### Collision Between an Atom and an Electron

If an electron of 58 eV had a head-on collision with a Ba atom at rest, what would be the kinetic energy of the recoiling Ba atom? Assume an elastic collision. (Take the atom to be the most abundant isotope of the element).

### Velocity of Niagara Falls

Suppose the water at the top of Niagara Falls has a horizontal speed of 2.7 m/s just before it cascades over the edge of the falls. At what vertical distance below the edge does the velocity vector of the water point downward at a 75 degree angle below the horizontal?

### Question about projectile motion of a rocket

A rocket is fired at a speed of 75 m/s from ground level, at an angle of 60 degrees above the horizontal. The rocket is fired toward an 11.0 m high wall, which is located 27 m away. By how much does the rocket clear the top of the wall?

### Height Between Climbers

A rock climber throws a small first aid kit to another climber who is higher up the mountain. The initial velocity of the kit is 11 m/s at an angle of 65 degrees above the horizontal. At the instant when the kite is caught, it is traveling horizontally, so its vertical speed is zero. What is the vertical height between the two c

### A Ball's Velocity When an Opposing Player Fields the Ball

A volleyball is spiked so that it has an initial velocity of 15 m/s directed downward at an angle of 55 degrees below the horizontal. What is the horizontal component of the ball's velocity when the opposing player fields the ball?

### Inclined Plane

The velocity of a 1.9 kg block sliding down a frictionless inclined plane is found to be 1.15 m/s. 1.40 s later, it has a velocity of 5.35 m/s. What is the angle of the plane with respect to the horizontal (in degrees)?

### How to Find the Radius of a Chamber

At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant the outer wall moves at a speed of 3.2 m/s, and an 83 kg person feels a 560 N force pressing against his back. What is the radius of a cha

### 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