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(3.10) angular accelleration of this wheel? Find tension in the string?

At t=0, a wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity of 2 rad/s. Two seconds later it has turned 5 complete revolutions. What is the angular acceleration of this wheel? ============================================== Answer: a) 17 rad/s^2 b) 14 rad/s^2 c) 20 rad/s^2 d) 23 ra

Time and distance

2 buses, 385 miles apart, are traveling directly toward each other on the same road. One is traveling 60 miles an hour and the the other is traveling 50 miles an hour. After how long will they meet?

traveling wave equation obtain much information about the wave.

One end of a long wire under tension is moved up and down sending a wave along it. Assume the wire lies along an x axis with the moving end at the origin. The equation giving displacement y, in meters, of points on the wave is: (1) y= (.06 m) sin (5 x - 25 t) a. From given constants, calculate the value and units of the quan

Bernoulli's Theorem: Perfume Atomizer

An old fashioned perfume atomizer operates by the user squeezing a bulb which sets up a rapid flow of air through a horizontal tube. The reduction in pressure due tothis rapid flow causes perfume to be sucked up a vertical tube from the bottle and then expelled from the horizontal tube along with the air. For simplification, we

Developing total energy, amplitude and maximum speed

A mass M attached to an ideal spring with force constant k executes SHM on a horizontal frictionless table. It has a total energy of 1.0 Joule and amplitude .10 m, and its maximum speed when location x= 0, is 1.2 m/sec. a. find k and M and the period T. b. If the initial location of the mass is at x= +Xm, develop x(t), and v(

Relativistic Addition of Velocities

Task: Suppose a pulsar with a speed of 0.96c approaches Earth, and a rocket with a speed of 0.995c heads toward the pulsar (both speeds measured in Earth's frame of reference). If the pulsar emits 10 pulses per second in its own frame of reference, at what rate are the pulses emitted in the rocket's frame of reference?

Collision: Determining Velocity

Ball 1 with an initial speed of 12 m/s collides elastically with stationary balls 2 and 3 that are initially in contact with each other. The centers of balls 2 and 3 are on a line perpendicular to the initial velocity of ball 1. The three balls are identical. Ball 1 is aimed directly at the contact point, and all motion is frict

A Collision problem.

A 0.15 kg ball hits a wall with a velocity of (6.00 m/s) i + (6.50 m/s) j + (5.50 m/s) k. It rebounds from the wall with a velocity of (2.00 m/s) i + (3.50 m/s) j + (-3.20 m/s) k a) What is the change in the ball's momentum? (__i +__j +__k ) kg · m/s b) What is the impulse on the ball? (__i +__j +__k ) N · s (c) Wh

Momentum: Rocket Firing in Space

A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 265*10^105 kg, of which 200*10^5 kg is fuel. The engine is fired for 250s, during which fuel is consumed at the rate of 480 kg/s. The speed of the exhaust product relative to the rocket is 3.23 km/s. a) What is the rock

Impulse and Velocity

Question: A 50 kg cart is moving across a friction-less floor at 2 m/s. A 70 kg boy, riding the cart, jumps off so that he hits the floor with zero velocity. 1. What impulse did the boy give to the cart? 2. What was the velocity of the cart after the boy jumped?

Momentum and Impulse inquiry

While being thrown, a net force of 132 N acts on a baseball (mass = 140 g) for a period of 4.5 X 10^-2 seconds. The balls initial velocity is zero before leaving the pitchers hand. When the batter hits the ball, a net force of 1320 N, opposite the direciton of the balls initial motion, acts on the ball for 9 X 10^-3 seconds du

Particle Completing a Revolution

A charged particle with a charge-to-mass ratio of q/m = 6.0E8 C/kg travels on a circular path that is perpendicular to a magnetic field whose magnitude is 0.71 T. How much time does it take for the particle to complete one revolution? Answer in seconds.

Relative velocities: airplane, wind and ground.

An airplane flies due west at 185 km/h with respect to the air. There is a wind blowing at 85 km/h to the northeast relative to the ground. What is the plane's speed with respect to the ground? The book's answer is 140 km/h. But it does not show how it arrived at that answer. Do you know?

Physics: Bicycle mass of rim, angular velocity of wheel

A bicycle wheel consist of a rim ( radius R = 0. 40 m ) and essintially massless spokes. Soppose we mount the bycle wheel on the wall. so that the wheel is parallel to the wall. Is it free to spin around its center, but not freee to translate. A very light string is wrapped around the rim and a mass m + 0. 80 kg is attached to t

Determining Constant Velocity of Train

The frequency of a steam train whistle as it approaches you is 538Hz. After it passes you, its frequency is measured as 509 Hz., how fast the train moving (assume constant velocity)? Assume the speed of sound is 343m/s.

Forces in a circular motion

1. If a car goes around a curve at half the speed, the centripetal force on the car is... a.) twice as big. b.) four times as big. c.) half as big. d.) one-fourth as big. 2. What is the gravitational force between two trucks, each with a mass of 2.0 x 10^4 kg, that are 2.0 m apart? 3. The gravitational

value of b k and omega, expression for velocity as function of time

An essentially massless spring is connected to the ceiling. A 5.00 g mass is attached to the spring so that the spring is 2.00 cm longer than its unstretched length. The mass is the pulled downward so that it is 20 cm below the equilibriun position and released from rest. After 10s the amplitude of oscillation has been reduce to

Angular speed of a sphere at the bottom of the hill

A 243 N sphere 0.199 m in radius rolls, without slipping, 6.06 m down a ramp that is inclined at 36.9° with the horizontal. What is the angular speed of the sphere at the bottom of the hill if it starts from rest?

Physics problems involving sound waves

Physics questions The expression given below represents a transverse harmonic wave travelling along a string which is stretched along the horizontal x-axis. The expression yields the transverse wave displacement y in metres when x is entered in metres and the time t in seconds. For 1 mark each, answer the following q

Determining the Speed a Car Can Go Without Skidding

A 2.00 x 10^3 kg car rounds a circular turn of a radius 20.0 m. If the road is flat and the coefficient of static friction between the tires and the road is 0.70, how fast can the car go without skidding?