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- The hydraulic cylinder on a woodsplitter has a 4-inch bore (diameter) and a stroke of 2 feet. The hydraulic pump creates a maximum pressure of 2000 pounds per square inch. Therefore, the maximum force created by the cylinder is 2000( π . 22 ) 8000 π, pounds :- Find the work done through one extension of the cylinder, given that the maximum force is required?Describe the difference between finding the work done by a constant force and finding the work done by a variable force.A highway safety institution conducts experiments in which cars are crashed into a fixed barrier at 40 mph. In the institute's 40-mph offset test, 40% of the total width of each vehicle strikes a barrier on the driver's side. The barrier's deformable face is made of aluminum honeycomb, which makes the forces in the test similar to those involved in a frontal offset crash between two vehicles of the same weight, each going just less than 40 mph. You are in the market to buy a family car and you want to know if the mean head injury resulting from this offset crash is the same for large family cars, passenger vans, and midsize utility vehicles (SUVs). The data in the accompanying table were collected from the institute's study. Complete parts (a) through (c) below.
- A highway safety institution conducts experiments in which cars are crashed into a fixed barrier at 40 mph. In the institute's 40-mph offset test, 40% of the total width of each vehicle strikes a barrier on the driver's side. The barrier's deformable face is made of aluminum honeycomb, which makes the forces in the test similar to those involved in a frontal offset crash between two vehicles of the same weight, each going just less than 40 mph. You are in the market to buy a family car and you want to know if the mean head injury resulting from this offset crash is the same for large family cars, passenger vans, and midsize utility vehicles (SUVs). The data in the accompanying table were collected from the institute's study. Complete parts questions below. LOADING... Click the icon to view the data table. Large Family Cars Passenger Vans Midsize Utility Vehicles (SUVs) 266 148 226 133 239 216 406 341 185 532 693 310 149 548…A highway safety institution conducts experiments in which cars are crashed into a fixed barrier at 40 mph. In the institute's 40-mph offset test, 40% of the total width of each vehicle strikes a barrier on the driver's side. The barrier's deformable face is made of aluminum honeycomb, which makes the forces in the test similar to those involved in a frontal offset crash between two vehicles of the same weight, each going just less than 40 mph. You are in the market to buy a family car and you want to know if the mean head injury resulting from this offset crash is the same for large family cars, passenger vans, and midsize utility vehicles (SUVs). The data in the accompanying table were collected from the institute's study. Complete parts questions below. LOADING... Click the icon to view the data table.Large_Family_Cars Passenger_Vans Midsize_Utility_Vehicles266 148 226133 239 216406 341 185532 693 310149 548 349629 470 547167 321 394 (a) State the null and…How do you solve this fluid force problem?
- A force of 5 pounds stretches a spring 1 inch from its natural position. Find the work done in stretching the spring from its natural length of 10 inches to a length of 15 inchesUse the concept of Particular Antiderivatives and Rectilinear Motion to answer the problem below: On the edge of an 8m building, Sam throws his toy vertically upwards at initial velocity = 28 m/s. If the only force that acts on the toy is accelerationdue to gravity (-32 ft/s), a. How many seconds will it take for the toy to reach its maximum height?b. What is the toy's speed when it hits the ground?A spring has a natural length of 15 inches. If a force of 25 pounds is required to keep the spring stretched to a length of 30 inches, a.) Give the spring constant k lbs/ft b.) Calculate the amount of work that is done is stretching the spring from its natural length to a length of 75 inches. ft-lbs
- A large building shaped like a box is 50 m high with a face that is 80 m wide. A strong wind blows directly at the face of the building, exerting a pressure of 150 N>m2 at the ground and increasing with height according to P1y2= 150 + 2y, where y is the height above the ground. Calculate the total force on the building, which is a measure of the resistance that must be included in the design of the building.A lunar module weighs 12 metric tons on the surface of the earth. How much work is done in the propelling the module from the surface of the moon to a height of 50 miles. Consider the radius of the moon to be 1100 miles and it's force of gravity to be 1/6 of that of earth.Find the amount of work done if an object is pushed horizontally 70 m by a force of 25 N directed 60° above the horizontal.