A 1:6 scale model automobile is tested in a wind tunnel in the same air properties as the prototype. The prototype automobile runs on the roads at a velocity of 50 km/hr. For dynamically similar conditions, the drag measured on the model is 300 N. Make calculation for the drag of the prototype and the power required to overcome this drag.
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- A 7.80-g bullet moving at 470 m/s penetrates a tree trunk to a depth of 6.50 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet. (b) Assuming the friction force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment in stops moving.A 7.80-g bullet moving at 690 m/s penetrates a tree trunk to a depth of 5.10 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet.N(b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.sA 7.80-g bullet moving at 520 m/s penetrates a tree trunk to a depth of 6.30 cm. Answer parts a-b.
- A 20 kg box is resting on horizontal surface initially. Then a F = 50 N force pulls on the box by a cord at an angle of 20 degrees above horizontal. The kinetic frictional coefficient is 0.20. 1.What is the magnitude of acceleration of the box, a=? 2.What is the kinetic energy of the box after 3.0 seconds? (hint: calculate the velocity first v =?) 3.What is the work done by the force Fin 3.0 second? (hint: calculate the distance first, d = ?)A car is traveling on a level road with speed v0 at the instant when the brakes lock, so that the tires slide rather than roll. Part A Use the work-energy theorem to calculate the minimum stopping distance of the car in terms of v0, g, and the coefficient of kinetic friction ?kbetween the tires and the road Part B By what factor would the minimum stopping distance change if the coefficient of kinetic friction were doubled ? Part C By what factor would the minimum stopping distance change if the initial speed were doubled? Part D By what factor would the minimum stopping distance change if both the coefficient of kinetic friction and the initial speed were doubled?A crate with mass m = 33.3 kg being pushed up an incline that makes an angle φ = 22.7 degrees with horizontal. The pushing force is horizontal, with magnitude P, and the coefficient of kinetic friction between the crate and the incline is μ = 0.358. Consider the work done on the crate as it moves a distance d = 5.32 m at constant speed. a. What is work done by the pushing force, in joules? b. What is the work done by friction, in joules? c. What is the work done by gravity, in joules? d. What is the net work, in joules?
- A 7.80-g bullet moving at 600 m/s penetrates a tree trunk to a depth of 4.80 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet.N(b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.A 7.80 g bullet is initially moving at 650 m/s just before it penetrates a tree trunk to a depth of 4.70 cm. (a) What is the magnitude of the average frictional force (in N) that is exerted on the bullet while it is moving through the tree trunk? Use work and energy considerations to obtain your answer. b) Assuming the frictional force is constant, how much time (in s) elapses between the moment the bullet enters the tree trunk and the moment it stops moving?A box of 9kg is released from rest on a rough inclined plane and slides to the bottom. The plane is inclined at a 230 angle to the horizontal and it is 5.1 m high. The coefficient of kinetic friction between the box and the plane is 0.1. Use conservation of energy to determine the speed of the block as it reaches the bottom.
- An 8 kg sled is at rest on a horizontal road. The coefficient of kinetic friction between the sled and the road is 0.4. The sled is pulled a distance of 3 m by a force of 40 N applied to the sled at an angle of 30 degree.a) Find the work done by the applied force.b) Find the work done by friction. c) Find the change in kinetic energy of the sled.d) Find the speed of the sled after it has traveled 3 m.A 7.80-g bullet moving at 570 m/s penetrates a tree trunk to a depth of 4.40 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet. (b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.A 2.5 kg rock is released from rest at the surface of a pond 1.8m deep. As the rock falls, a constant upward force of 4.3N is exerted on it by water resistance. Let y=0 be at the bottom of the pond.A) Calculate the gravitational potential energy of the system, U, when the depth of the rock below the water's surface is 0.50 m.B) Calculate the kinetic energy of the rock, K, when the depth of the rock below the water's surface is 0.50m.C) Calculate the total mechanical energy of the system, E, when the depth of the rock below the water's surface is 0.50m.