Chapter 44, Problem 55GP

Your neighbor designs automobiles for a living. You are fascinated with her work. She is designing a new automobile and needs to determine how strong the front suspension should be. She knows of your fascination with her work and your expertise in physics, so she asks you to determine how large the normal force on the front wheels of her design automobile could become under a hard stop, ma when the wheels are locked and the automobile is skidding on the road. She gives you the following information. The mass of the automobile is m₂ = 1.10 × 103 kg and it can carry five passengers of average mass m = 80.0 kg. The front and rear wheels are separated by d = 4.45 m. The center of mass of the car carrying five passengers is dCM = 2.25 m behind the front wheels and hcm = 0.630 m above the roadway. A typical coefficient of kinetic friction between tires and roadway is μk 0.840. (Caution: The braking automobile is not in an inertial reference frame. Enter the magnitude of the force in N.)…

John is pushing his daughter Rachel in a wheelbarrow when it is stopped by a brick 8.00 cm high (see the figure below). The handles make an angle of 0 = 17.5° with the ground. Due to the weight of Rachel and the wheelbarrow, a downward force of 403 N is exerted at the center of the wheel, which has a radius of 16.0 cm. Assume the brick remains fixed and does not slide along the ground. Also assume the force applied by John is directed exactly toward the center of the wheel. (Choose the positive x-axis to be pointing to the right.) (a) What force (in N) must John apply along the handles to just start the wheel over the brick? (No Response) N (b) What is the force (magnitude in kN and direction in degrees clockwise from the -x-axis) that the brick exerts on the wheel just as the wheel begins to lift over the brick? magnitude (No Response) KN direction (No Response) ° clockwise from the -x-axis

An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 × 103 kg/m³. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of the sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.600 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that is, its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 19.2 cm. What is the moment of inertia (in kg. m²) of the tire about an axis perpendicular to the page through its center? 2.18 x Sidewall 33.0 cm 30.5 cm 16.5 cm Tread

A person on horseback is on a drawbridge which is at an angle = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.35 m from the end of the bridge. The bridge is l = 7.00 m long and has a mass of 2,300 kg. A cable is attached to the bridge 5.00 m from the frictionless hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,100 kg. Assume the bridge is uniform. Suddenly (and most unfortunately for the horse and rider), the ledge where the bridge usually rests breaks off, and at the same moment the cable snaps and the bridge swings down until it hits the wall. ÚI MAJI A TLA MAJA AUTA (a) Find the angular acceleration (magnitude, in rad/s²) of the bridge once it starts to move. 2.22 Use the rotational analogue of Newton's second law. The drawbridge can be modeled as a rod, with rotation axis about one end. rad/s² (b) How long (in s) does the horse and rider stay in contact with the bridge…

Two long, parallel wires carry currents of I₁ = 2.70 A and I2 = 4.85 A in the directions indicated in the figure below, where d = 22.0 cm. (Take the positive x direction to be to the right.) 12 (a) Find the magnitude and direction of the magnetic field at a point midway between the wires. magnitude direction 3.91 270 μπ ⚫ counterclockwise from the +x axis (b) Find the magnitude and direction of the magnetic field at point P, located d = 22.0 cm above the wire carrying the 4.85-A current. magnitude direction Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. μT The response you submitted has the wrong sign.° counterclockwise from the +x axis

O Macmillan Learning The mass of a particular eagle is twice that of a hunted pigeon. Suppose the pigeon is flying north at Vi2 = 16.1 m/s when the eagle swoops down, grabs the pigeon, and flies off. At the instant right before the attack, the eagle is flying toward the pigeon at an angle 0 = 64.3° below the horizontal and a speed of Vi,1 = 37.9 m/s. What is the speed of of the eagle immediately after it catches its prey? What is the magnitude & of the angle, measured from horizontal, at which the eagle is flying immediately after the strike? Uf = II x10 TOOLS Vi.1 Vi,2 m/s

What is the equivalent resistance if you connect a 1.7 Ohm, a 9.3 Ohm, and a 22 Ohm resistor in series? (Give your answer as the number of Ohms.)

Three wires meet at a junction. One wire carries a current of 5.2 Amps into the junction, and a second wire carries a current of 3.7 Amps out of the junction. What is the current in the third wire? Give your answer as the number of Amps, and give a positive number if the current in that wire flows out of the junction, or a negative number if the current in that wire flows into the junction.

What is the equivalent resistance if you connect a 4.5 Ohm, a 6.8 Ohm, and a 15 Ohm resistor in parallel? (Give your answer as the number of Ohms.)