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A pitcher throws a ball to the catcher at a speed of 100 mi/h(45 m/s). If the velocity of the ball is horizontal when itleaves the pitcher's hand, how far (vertically) will it fallon the way to the catcher? The distance from the pitcher to catcheris 60.5 ft. Express answer in meter and in feet.
A 30cm string of linear density 7.0 g/m is stretched to a tension of 35N and fixed at both ends, Calculate the wavelengths and frequencies of the first fourharmonics
Determine the normal mode frequency of the Lagrangian, given by L=(1/2)(xdot2 +ydot2)-(1/2)(ω21x2+ω22y2)+ αxy ,where α is constant xdot =ydot means derivative with respect time.
A 27 pound meteorite struck a car, leaving a dent 26cm deep in the trunk. If the meteorite struck the car with a speed of 620m/s, what was the magnitude of its deceleration, assuming it to be constant.
Consider a solid sphere and a thin shell with the same radius and the same mass. Explain why the thin shell has a greater amount of intertia
A dog running in an open field has components of velocity v_x = 3.2 m/s and v_y = -2.1 m/s at time t_1 = 11.6 s. For a time interval from t_1 = 11.6 s to t_2 = 19.7 s, the average acceleration of the dog has magnitude 0.30 m/s^2 and direction 35.0..
Alpha particles (charge = +2e, mass = 6.68* 10^-27 kg) are accelerated in a cyclotron to a final orbit radius of 0.50 m. Determine the kinetic energy of an alpha particle in the final orbit
Kenny throws a basketball which has an initial speed v0. When the ball gets to its minimum speed sometime before striking the ground, What was the initial angle of the ball
The potential difference between the plates of a capacitor is 180V. Midway between the plates; a proton and an electron are released. The electron is released from rest.
The Hall effect can be used to determine the density of mobile electrons in a conductor. Find the density of mobile electrons in the material
A 5.6cm diameter horizontal pipe gradually narrows to 2.9cm. When water flows through this pipe at a certain rate, What is the volume rate of flow
An 18.0g arrow is fired into a 3.00kg pumpkin suspended on a string. Calculate the velocity of the arrow just before it enters the pumpkin
A 11 kg box must be slid across the floor. what is the minimum force needed to start the box moving from rest
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