Approximate the force acting on the 15 -cm-diameter headlamp of an automobile travelling at 120 km/h.
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- The thrust generated by a single jet engine a for s F=59000n. It take the plane (with a mass of m=6300kg) a distance of D =0.95km to take off How far meters would you need to depress spring k=100,000 N/m in order to launch the plane at the same speed without help from the engine?A small three (3) blade turbine with 10 meter long blades is shut down due to wind speeds being 35 m/s. The turbine has a brake on the low speed shaft rotor to keep the rotor from spinning in these circumstances. However, a maintenance man accidentally sets the blades to have an angle of attack of 10 degrees against the incoming wind when the rotor is facing into the wind. The blades have a constant chord of 0.5 meters, and have CI = 2TTA where a is measure in radians. Assume also that the air density is 1.25 kg/m³. Approximately how much torque must the brake restrain?Animal Propulsion. Squids and octopuses propel themselves by expelling water. They do this by keeping water in a cavity and then suddenly contracting the cavity to force out the water through an opening. A 6.50 kg squid (including the water in the cavity) at rest suddenly sees a dangerous predator. (a) If the squid has 1.75 kg of water in its cavity, at what speed must it expel this water suddenly to achieve a speed of 2.50 m/s to escape the predator? Ignore any drag effects of the surrounding water. (b) How much kinetic energy does the squid create by this maneuver?
- A 150 million-kg cargo ship starts from rest. The total force exerted on it by its engines and hydrodynamic drag (in Newtons) can be approximated as a function of time in seconds by EF = 937,500-0.65f. Determine how fast the ship is moving in 16 minutes. Clearly write down here what principle or law you use in this problem.An object of mass 6.8 kg is attached to an ideal massless spring of spring constant 1690 N/m. The object is at rest and a distance 9.0 cm from equilibrium. Calculate the maximum speed the object reaches during its motion. answer is 5.5m/sWhat is the safe maximum speed without tipping or skidding for a 13,200 N automobile running around a flat curve of 80 m radius? Its center of gravity is 0.60 m above the road surface and the wheel tread is 1.5 m, and f = 0.50.
- At what maximum speed does a compressed air torpedo move, which expells 18 kg of air every second at a speed of 118 m/s? The force of water resistance is proportional to the square of the velocity and is equal to 480 N at a speed of 21 m/s. (The solutiom is 44 m/s)A 1920 kg truck traveling north at 39 km/h turns east and accelerates to 60 km/h. (a) What is the change in the truck's kinetic energy? (b) What is the magnitude of the change in its momentum? (a) Number (b) Number The tolerance is ±3 Units Units 0A body Diagram of A nonconducting container filled with 25 kg of water at 20°C is fitted with a stirrer,which is made to turn by gravity acting on a weight of mass 35 kg. The weight fallsslowly through a distance of 5 m in driving the stirrer. Assuming that all work doneon the weight is transferred to the water and that the local acceleration of gravity is9.8 m·s−2, determine:(a) The amount of work done on the water.(b) The internal energy change of the water.(c) The final temperature of the water, for which CP = 4.18 kJ·kg−1·°C−1.(d) The amount of heat that must be removed from the water to return it to its initialtemperature.(e) The total energy change of the universe because of (1) the process of loweringthe weight, (2) the process of cooling the water back to its initial temperature, and(3) both processes together.
- A baseball (radius = .0366 m, mass = .145 kg) is dropped from rest at the top of the Empire State Building (height = 1250 ft). Calculate (a) the initial potential energy of the baseball, (b) its final kinetic energy, and (c) the total energy dissipated by the falling baseball by com- puting the line integral of the force of air resistance along the baseball's total distance of fall. Compare this last result to the difference between the baseball's initial potential energy and its final kinetic energy. (Hint: In part (c) make approximations when evaluating the hyperbolic functions obtained in carrying out the line integral.) 2.9Estimate the maximum horizontal distance you can throw a baseball (m = 0.145 kg) if you throw it at an angle of a0 = 45° above the horizontal in order to achieve the maximum range. (a) What is the kinetic energy of the baseball just after it leaves your hand? Ignore air resistance and the small distance the ball is above the ground when it leaves your hand. Take the zero of potential energy to be at the ground. (b) At the ball’s maximum height, what fraction of its total mechanical energy is kinetic energy and what fraction is gravitational potential energy? (c) If you throw the baseball at an initial angle of 60° above the horizontal, at its maximum height what fraction of its total energy is kinetic energy and what fraction is gravitational potential energy? (d) What fraction of the total mechanical energy is kinetic energy at the maximum height in the limiting cases of a0 = 0° and a0 = 90°?Consider a person who momentarily puts all of their body weight on one leg when walking or running. The forces acting on the leg and the corresponding biomechanical model of the system are shown in Fig.- Prob. 10(a) and (b). Point O corresponds to the center of rotation of the hip joint. A is the connection point of the hip abductor muscle with the femur; point B is the center of gravity of the leg; and C is the point of application of the ground reactive force. The distances between point A and points O, B, and C are: a = 8.6 cm, b = 34.3 cm, and c = 89.4 cm. The angles formed by the femoral neck and the longitudinal axis of the femur with respect to the horizontal are alpha = 43° and beta = 79°, respectively. Furthermore, for this position of the person standing on one leg, it has been estimated that the magnitude of the force exerted by the hip abductor muscle is FM = 2062.6 N and its line of action forms an angle of theta = 69° with respect to the horizontal. If the magnitude of…