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    Velocity

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    Two-dimensional motion

    In two-dimensional motion, such as projectile motion, we can write the acceleration as: a=gj (this is vector j) This implies what about the velocity and displacement of the projectile?

    Working with vectors - direction and velocity of a plane

    An airplane flies at 65 meters per second in a direction 149 degrees counterclockwise from east. What are the east and north components of the plane's velocity? The book's answer is: -200 m/s for its east velocity and 120 m/s for its north velocity. Can you confirm whether this is correct and show its solution? The book does

    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?

    Magnetic Field: Force on a particle of charge

    A particle of charge 6e enters a region containing a magnetic field with a velocity of 7.5 X 105 m/s that is perpendicular to the field. There is a force on the particle of 6.84 X 10-13 N. Find the magnetic field T.

    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?

    Minimum horizontal velocity required to miss the rock

    Cliff divers at Acapulco jump into the sea from a cliff 36m high At the level of the sea a rock sticks out a horizontal distance at 6m. With what minimum horizontal velocity must the cliff divers leave the top of the cliff if they are to miss the rock?

    Collision

    Hi. Can someone please show me how to do the following problem: "An 11.2 g object moving to the right at 21.3 cm/s makes an elastic head-on collision with a 17.3 g object moving in the opposite direction at 31.5 cm/s. What is the velocity of the 11.2 g object after the collision? (positive is to the right)" Thank you!

    Two cars, moving at right angles, collide. Find x and y components of velocity

    See ATTACHMENT #1 for a diagram. A Chevrolet whose weight Wc= 2700 lb is moving at Vc = 40 mi/hr at 0 degrees. A Bronco whose weight Wb= 3600 lb is moving at Vb = 60 mi/hr at 270 degrees. The vehicles crash and lock together then move as a unit. a. On the diagram, (not to scale) show all the given data. b. Showing u

    Spring compression, velocities of two blocks and decompression

    A 2 kg block slides along a friction-less tabletop at 8.0 m/s toward a second block (at rest) of 5 kg. A spring which obeys Hooke's law with a spring constant k = 850 N/m, is attached to the second block. (a) What will be the maximum compression of the spring? (b) What will be the velocities of the two blocks when the sprin

    Springs and Forces: Frequency, Energy, Amplitude, and Velocity

    A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.20 N is applied. A 1.200 kg particle rests on a friction-less horizontal surface and is attached to the free end of the spring. The particle is pulled horizontally so that it stretches the spring 5.00 cm and is then released from rest at t=0.

    Spring action

    "The launching mechanism of a toy gun consists of a spring of unknown spring constant. If the spring is compressed a distance of 0.139 m and the gun is fired vertically, the gun can launch a 25.1g projectile from rest to a maximum height of 24.5 m above the starting point of the projectile. Neglecting all resistive forces, deter