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The potential energy of a mass m in a certain region varies as: U(x) = (13x2 + 39x-70)(Joules) . The total mechanical energy of the mass is constant = 60 (Joules). A. To what region of the x-axis is t
A car engine is rated at 148 horsepower (110kW). If the resistive forces acting on the car vary with the car's speed v as F(res)= Av^2 where A = 1.69Ns^2(m-2) , Estimate the maximum speed in mph att
A force is represented by a vector: from F= ˆi (3xy) - ˆj (2x^2(y)) . Calculate the work done by this force in a displacement from the origin (0,0) to (the point (5, 10) along the following
Calculate the work done by this force in a displacement from the origin (0,0) to (the point (5, 10) along the following paths:
The velocity and magnetic field are both in the xy-plane, with the velocity making a 20^\circ angle and the magnetic field a 250^\circ angle, both measured counterclockwise from the +x-axis. Find t
You are observing a double slit pattern on a screen that is 1.00 m from the slits. Each slit is 5 x 10-5 m wide and ihe slits are 2 x 10-4 m apart. You find that the distance between any two adjacent
It rebounds with a speed of 10m/s. What impulse acts on the ball during the contact? If the ball is in contact with the floor for 0.020 seconds, what is the magnitude of the average force on the flo
A rifle with a weight of 30N fires a 5g bullet with a speed of 300m/s. What is the recoil speed of the rifle? If a 700N man holds the rifle firmly against his shoulder, find the recoil speed of the
A medical cyclotron with a 2.2 T magnetic field is intended to accelerate deuterium nuclei (deuterons), consisting of one proton and one neutron.
What is the impulse exerted on the fullback? What is the impulse exerted on the tackler? What is the average force exerted on the tackler? Draw a diagram. Show all work.
A child in a boat throws a 6.4 kg package horizontally with a speed of 10.0 m/s. Calculate the velocity of the boat immediately after, assuming it is initially at rest? The child has a mass of 26.0
What is the impulse delivered by the bat? If the ball and the bat were in contact for 0.80 ms, what was the average force the bat exerted on the ball? Draw a diagram. Show all work
(a) What are the magnitude and direction of the net gravitational force due to these objects on a third uniform sphere with mass 0.500 kg placed at the point x = 4.00m, y=0?
You use a diffraction grating to obtain the spectrum of a gas. The gas has a green line at 540 nm and a second green line at 541 nm. If the grating has 600 lines/mm, what is the difference in angle
The driver of a compact car of mass 725kg suddenly applies the brakes hard for 2.0s. As a result, an average force of 5000N is exerted on the car to slow it. What is the change in momentum on the ca
The peter-principled Dean of Deans (Maximus incompetus) is dropped from the tower with zero initial speed and plummets toward the Earth. Neglect all histrionics and atmospheric effects. Determine th
A beam of light is incident from air on the surface of a liquid. If the angle of incidence is 25.0° and the angle of refraction is 14.0°, find the critical angle for the liquid when surround
A building stands on the shore, and the laser beam hits a target at the top of the building. The goal is to find the height of the target above sea level. (a) Draw a diagram of the situation, ident
A flashlight on the bottom of a 4.20 m deep swimming pool sends a ray upward and at an angle so that the ray strikes the surface of the water 1.80 m from the point directly above the flashlight. Wha
A trapdoor (mass M, length L), that is propped open at an angle θ, falls down, and stops only when it hits a pumpkin with its lower edge. (a) What is the angular speed ω of the trapdoor
a) Find the maximum current in the circuit. Answer in units of A (b) Find the maximum voltage across the inductor. Answer in units of V
Suppose you found ks = 0.5 N/m and m = 0.02 kg, and you observed an oscillation with an amplitude of 0.2 m. What is the approximate value of N, the "quantum number" for this oscillator?
A square wire loop with sides of length a = 1.40 m is bent 90 degrees at a distance b = 0.500 m from one end. A current of 0.100 A runs through the loop. What is the magnitude of the magnetic moment
A current of 0.2 A to the right flows through a wire. One meter of wire is placed in a magnetic field that is directed into the page with a magnetic field strength of 100 T. What is the magnetic for
A 87.0g hollow copper cylinder is 80.0cm long and has an inner diameter of 1.0cm. The current density along the length of the cylinder is 1.70 x 105 A/m2. What is the current in the cylinder?