A 136-kg crate is subjected to the forces shown. If it is originally at 1, determine the amount of energy (in J) lost due to friction (i.e. the work of friction) after the crate attains a speed of v=9m. Coefficient of kinetic friction is μ = 0.2 Hint: find out how far the box travels first. 500 N 400 N 45° 30°
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- A-C please!!A 55-kg girl is riding a 5 kg bike with 5 m/s on a ramp with 4 meters height and 8 meters length. The ramp makes 30 degrees angle with the ground. What is her speed at the bottom of the ramp if there is no sliding friction What is her speed at the bottom of the ramp if there is the coefficient of friction is mu=0.1You throw a 24.0 NN rock into the air from ground level and observe that, when it is 14.0 mm high, it is traveling upward at 16.0 m/sm/s. Part A: Use the work-energy principle to find the rock's speed just as it left the ground. Part B: Use the work-energy principle to find the maximum height the rock will reach.
- A student, starting from rest, slides down a water slide. On the way down, a kinetic frictional force (a nonconservative force) acts on her. The student has a mass of 78 kg, and the height of the water slide is 10.8 m. If the kinetic frictional force does -5.8 x 103 J of work, how fast is the student going at the bottom of the slide? Vf =A box of mass 4.0 kg hangs by a cable from the ceiling of an elevator. The elevator is moving down at a steady speed of 5.0 m/s for 8.0 m. Use g = 10 m/s2. Match the answers with questions. m v the final kinetic energy of the box (Kf) А. -320 J v the change in kinetic energy of the box (AK) В. 20 J C. 320 J D. 50 J E. -20 J F. -50 J G. OJExplorers in the jungle find an ancient monument in the shape of a large isosceles triangle as shown in the figure below. The monument is made from tens of thousands of small stone blocks of density 3 293 kg/m. The monument is 14.0 m high and 64.0 m wide at its base and is everywhere 2.50 m thick from front to back. Before the monument was built many years ago, all the stone blocks lay on the ground. How much work did laborers do on the blocks to put them in position while building the entire monument? Note: The gravitational potential energy of an object-Earth system is given by U, = Mgy CM, where M is the total mass of the object and yCM is the elevation of its center of mass above the chosen reference level.
- Part of the route of a roller coaster is as follows: Determine: The ETOTAL en A The ETOTAL en B The ETOTAL en C The ETOTAL en D Pd: ETOTAL is total energyA block of mass 2.28 kg starts sliding from rest down an incline plane for 25 cm. If the block has a velocity of 1.14 m/s, and the incline has an angle measured from the +x axis of 37 degrees then: a. How much work did kinetic friction do on the block? b. What is the coefficient of kinetic friction between the block and the incline?For its size, the common flea is one of the most accomplished jumpers in the animal world. A 2.10-mmmm-long, 0.470 mgmg flea can reach a height of 20.0 cmcm in a single leap. Part A Ignoring air drag, what is the takeoff speed of such a flea? Express your answer in meters per second. Part B Calculate the kinetic energy of this flea at takeoff. Express your answer in joules. Part C Calculate the kinetic energy per kilogram of mass. Express your answer in joules per kilogram. If a 77.0 kgkg, 2.00-mm-tall human could jump to the same height compared with his length as the flea jumps compared with its length, how high could the human jump? Express your answer in meters. If a 77.0 kgkg, 2.00-mm-tall human could jump to the same height compared with his length as the flea jumps compared with its length, what takeoff speed would the person need? Express your answer in meters per second. Most humans can jump no more than 60.0 cmcm from a crouched…
- A 7.80-g bullet moving at 520 m/s penetrates a tree trunk to a depth of 6.30 cm. Answer parts a-b.Same set-up for the conservation of energy was performed. The 5-g marble covered a horizontal distance of 40 cm from the edge of the ramp (horizontal) from an elevation of 15 cm above the ground. At what height (in cm) relative to edge of the ramp was the marble released? Use g=9.8 m/s2. Round off your answer to two decimal places.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?