Sam, whose mass is 65 kg , straps on his skis and starts down a 56 m -high, 20∘ frictionless slope. A strong headwind exerts a horizontal force of 200 N on him as he skies. Use work and energy to find Sam's speed at the bottom.
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- On an essentially frictionless, horizontal ice rink, a skater moving at 4.3 m/s encounters a rough patch that reduces her speed by 42% due to a friction force that is 24% of her weight. Use the work-energy theorem to find the length of this rough patch.Hi there!! My question is bolded below :) It is a multiple choice question, so I have also listed every possible answer. A person with a mass of 42kg starts from rest at position A, as shown, and then slides down to positions B, C, and D. Calculate the gravitational potential energy of the person at A. 412 J 672 J 4.2 kJ 6.6 kJ Thanks!15. A particle is subject to a force F, that varies with posi- W tion as shown in Figure P7.15. Find the work done by the force on the particle as it moves (a) from x = 0 to 5.00 m, (b) from x = 5.00 m to x = 10.0 m, and (c) from x= 10.0 m to x = 15.0 m. (d) What is the total work done by the force over the distance x = 0 to x = 15.0 m? x= F, (N) 3 2 1 0 x (m) 2 4 6 8 10 12 14 16 Figure P7.15 Problems 15 and 34.
- A 58 kg skier is coasting up the hill shown below with speed vi = 10 m/s. ΚΕ Number m/s. Figure 7.37 The skier's initial kinetic energy is partially used in coasting to the top of a rise. What is the final speed on top of the rise assuming that there is no friction acting? 35° m. V = ? Instead, assume that friction acts only on the straight line part of the rise and that the coefficient of friction is 0.24. 2.5 m What is the length of the straight line part of the rise? Number N. What is the normal force acting on skier during the straight line part of the rise? Number m/s. What is the final speed on top of the rise assuming that friction acts only during the straight line part? NumberWfric Suppose the ski patrol lowers a rescue sled and victim, having a total mass of 100.0 kg down a 60° slope at constant speed, as shown in the figure. The coefficient of friction between the sled and the snow is 0.100. = (a) How much work is done by friction as the sled moves 30.0 m along the hill. Enter to 3 significant figures Wrope 1.47 × 10³ J = W grav 60° (b) How much work is done by the rope on the sled in this distance? Hint: use Newton's second law to find the tension. Enter to 3 significant figures W -2.39x104 T = 2.55×104 J (c) What is the work done by the gravitational force on the sled? Enter to 3 significant figuresJustin, with a mass of 50 kg, is going down an 8.0-m-high water slide. He starts at rest, and his speed at the bottom is 12 m/s. How much thermal energy is created by friction during his descent? Express your answer with the appropriate units. Eth = μA Value Units ?
- QUESTION: From ground level, you toss a 20 N marble vertically into the air. You notice that it is going at 25.0 m/s upward when it is 15.0 m above the ground. Find (a) the marble's speed as it left the ground and (b) its maximum height using the work-energy theorem. ANSWER IN COMPLETE SOLUTION AND WRITE A CONCLUSION FROM YOUR ANSWER.A = 8A 1.3Kg particle moves from an initial position r1=2i-1j+2k m to a final position r2=6i-4j-4k m while a force F=4i-5j+4k N acts on it. What is the work done by the force on the particle? Answer in Joules
- C7 17.) A 1 kg block (block A) is released from rest at the top of a 20 m long frictionless ramp that is 7 m high. At the same time, an identical block (block B) is released next to the ramp so that it drops straight down the same 7 m. Find the values for each of the following for the blocks just before they reach ground level. (a) gravitational potential energy Block A ______________ J Block B ______________ J (b) kinetic energy Block A ____________________ J Block B ____________________ J (c) speed Block A ____________________ m/s Block B ____________________ m/s (d) momentum Block A _______________________ kg·m/s Block B _______________________ kg·m/s20. A 1 kg block is placed on a rough (0.1) 37 incline. The block is released from rest. What is the work done in J by the normal force after the block slides down the incline a distance d=1 m? (a) -0.8 (b) 0.0 (c) 3.2 21. A 2 kg projectile is fired from ground level at an angle fo with a kinetic energy K-200 J. If the projectile has a kinetic energy K=140 J at its maximum height (hmar), what is the value of haz in m? (a) 3 (b) 4 (c) 5 (d) 5.2 (d) 6 (e) 6.0 111 (e) 7 d 37 A mar30. A crate on rollers is being pushed without frictional loss of energy across the floor of a freight car (see the following figure). The car is moving to the right with a constant speed vo. If the crate starts at rest relative to the freight car, then from the work- energy theorem, Fd = mv² /2, where d, the distance the crate moves, and v, the speed of the crate, are both measured relative to the freight car. (a) To an observer at rest beside the tracks, what distance d'is the crate pushed when it moves the distance d in the car? (b) What are the crate's initial and final speeds vo'and v’as measured by the observer beside the tracks? (c) Show that Fd'= m(v)²/2 – m(v'o)²/2 and, consequently, that work is equal to the change in kinetic energy in both reference systems. Vo