Q: 17. GO A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the…
A: The given values are,
Q: Rusty uses a hammer to exert an applied force upon a stubborn nail to drive it into the wall. a.…
A:
Q: A helicopter lifts a 80 kg astronaut 20 m vertically from the ocean by means of a cable. The…
A: (a). The work done by helicopter is
Q: A 1270-kg1270-kg car moves at 23.0 m/s.23.0 m/s. How much work ?netWnet must be done on the car to…
A: the change in kinetic energy of the given system is ∆KE=12mvf2-vi2=12mvf2-vi2=121270 kg31 m/s2-23…
Q: Jane is using a 14 cm long screwdriver to assemble a bookcase. She applied a force of 45 N to rotate…
A: length of screw driver (l) = 14 cmApplied force (F) = 45 N∆θ = 180° = π radians
Q: A 80-N constant force exerted on a 15-kg object for 12 seconds. The initial velocity of an object is…
A: Given value--- force = 80 N. mass = 15 kg. time = 12 sec. initial velocity = 6m/s. We have to…
Q: A 20 N object is lifted a distance of 5.0 meters. The object has 100.0 N of potential energy. True…
A: Potential energy is weight times the displacement in that direction. PE = W × h
Q: A 51.7-kg hiker ascends a 43.2-meter high hill at a constant speed of 1.20 m/s. If it takes 384 s to…
A: Given: mass of hiker, m = 51.7 kg height of the hill, h = 43.2 m velocity, v = 1.2 m/s time, t =…
Q: the force vector F = (5 î + 3 j) N Consider Cy much work was done by the applied force to the body…
A:
Q: Can you please solve this problem and show all of the steps
A: Hey, since there are multiple subparts question posted, we will answer first three questions. If you…
Q: An old forklift is replaced with a new one. The new forklift has 2x the power of the old one. How…
A:
Q: A 4-N force is applied to a 2-kg object that is moving at 3 m/s. This force is parallel to the…
A: Work done = Force × displacement
Q: When a body moves in a circular path, how much work is done by the body? Give reason.
A: The magnitude of work done by a force F with a displacement d is given by
Q: A 70 kg human sprinter can accelerate from rest to 10 m/s in 3.0 s. During the same time interval, a…
A: Given data The mass of the human sprinter is mh = 70 kg. The final veloity of the human is vh = 10…
Q: A 100 N force that makes an angle of 30o with the horizontal is used to move a 10 kg crate across a…
A:
Q: Q19. The winners of long jump each weighing 56 kg. 40 kg and 45 kg stand on the podium. What is the…
A: Answer 0 J
Q: Awater-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle…
A: We have, Mass, m = 81 Kg Initial speed u = 6.5 m/s Final speed, v = 10.1 m/s
Q: A 380-kg piano slides 2.9 m down a 25° incline and is kept from accelerating by a man who is pushing…
A:
Q: 3. A body moves a distance of 15 m along a straight line under the action of 25 N force. If work…
A: Given data: d=15 mF=25 NW=45 J Need to determine the force and angle between the force and direction…
Q: A tow truck drags a stalled car along a road. The chain makes an angle of 30° with the road and the…
A: Given Data: The angle between the chain and road is: θ=30° The tension in the chain is: T=1800 N The…
Q: A0.5 kg ball is located of top of a hill that is 1000 m high. The ball starts rolling from rest.…
A: As per the guidelines we will solve the first three parts only(A, B an C). Please upload the last…
Q: Shey leads South’s varsity softball team in hitting. In a game against New Greer Academy this past…
A:
Q: A tired squirrel (mass of 1 kg) does push-ups by applying a force to elevate its center-of-mass by 5…
A:
Q: A truck driver pushes the truck with a 50 N horizontal force. He is unable to move the truck. The…
A: Given Data: The force applied is, F = 50 N. The displacement, s = 0.
Q: Nola page into CrossFit and she is being asked to push a wheel if she applies force of 57N to push…
A: Given: Force, F = 57 N and Distance travelled, s = 20 m
Q: a child pulls a box of 6kg a distance of 10 meters along a rough horizontal surface with a…
A:
Q: A child pulls a sled across a frictionless surface with a force of 5N directed at an angle of 30…
A: Φ = 30 ⁰ F = 5 N M = 2 kg
Q: A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle…
A: Given :- mass of water skier = 61.2 kg initial velocity = 5.1m/s speed increases to 12.1 m/s
Q: A 1 50-g book is lifted from the floor to a shelf 2.0 m above. Calculate: (a)the force needed to…
A: Mass of the book (m) =150g =0.150 kg. Height of the shelf from the ground (h) = 2m. We need to…
Q: #15 A person pushes a m = 2.00 kg carton a distance d= 7.20 m along the floor by a constant force of…
A: mass of carton (m) = 2 kg distance moved (d) = 7.20 m Force applied (F) = 10 N Angle below the…
Q: An elevator and its contents have a total mass of 4000 kg. The elevator moves up a distance of 40 m…
A: "As per the guidelines i solved the first question alone". The work done by the elevator is,…
Q: A 1350-kg car is traveling with an initial speed of 25.0 m/s. Determine the car's speed after –2.20…
A:
Q: • Two forces i+j+kN and i+2j+ 3k N act on a particle and displace it from (2, 3, 4) to point (5, 4,…
A: Given value--- two force F1 = i+j+k . F2 = i+2j+3k . displacement…
Q: A tired squirrel( mass approximately 1kg) does push up by applying a force to elevate center-of-mass…
A:
Q: A cable pulls an 299 kg safe up a slope inclined at 10°, for 12 m on an very slippery oily surface.…
A:
Q: "Rocket Man" has a propulsion unit strapped to his back. He starts from rest on the ground, fires…
A: Let u be the initial velocity, v be the final velocity at a height h, m be the mass of the…
Q: A 60-N constant force exerted on a 10-kg object for 12 seconds. The initial velocity of an object is…
A: (a) Calculate the acceleration of the object due to the applied force. a=Fm=60 N×1 kg·m/s21 N10 kg=6…
Q: A 600 N person climbs a ladder at a constant speed. The person climbs up 12 meters in a time of 20…
A:
Q: 7. How much work did the figure skater in the previous question do in reconfiguring her limbs? (a)…
A: We need to calculate the work done by the figure skater in reconfiguring her limbs.
Q: mother pulls her child on a sled across a rough patch of snow. The sled and child have a combined…
A: Given Applied force F=65 N Angle is 42^o Distance is d=15 m
Q: "Rocket Man" has a propulsion unit strapped to his back. He starts from rest on the ground, fires…
A: Let u be the initial velocity, v be the final velocity at a height h, m be the mass of the…
Q: A loaded grocery cart is rolling across a parking lot in a strong wind. You apply a constant force,…
A:
Q: A person pulls a 50-kg crate along a horizontal floor by a constant force Fp=100N, which acts at a…
A: Given data The mass of the crate is given as m = 50 kg. The constant force is given as Fp = 100 N.…
Q: 1000-kg automobile accelerates up a hill, increasing its speed from 5 mi/h to 50 mi/h, along a…
A:
Q: In the figure, the rock weighs 115 lb and is lifted 1 ft by the lever. F Fulcrum 3F 3d (a) How much…
A: The work done is calculated by using the formula W=Fd , where F is the force applied and d is the…
Q: All questions on this assessment use the same scenario: A team of sled dogs pull a 50.00 kg dogsled…
A:
Q: A 10.0 kg marble is moving at an initial speed of 2.00 m/s. A constant force is applied to the…
A:
Q: man pushes against a truck that is too heavy for him to move. Has work been done? Explain. include…
A:
Step by step
Solved in 2 steps with 2 images
- A nonconstant force is exerted on a particle as it moves in the positive direction along the x axis. Figure P9.26 shows a graph of this force Fx versus the particles position x. Find the work done by this force on the particle as the particle moves as follows. a. From xi = 0 to xf = 10.0 m b. From xi = 10.0 to xf = 20.0 m c. From xi = 0 to xf = 20.0 m FIGURE P9.26 Problems 26 and 27.Jonathan is riding a bicycle and encounters a hill of height 7.30 m. At the base of the hill, he is traveling at 6.00 m/s. When he reaches the top of the hill, he is traveling at 1.00 m/s. Jonathan and his bicycle together have a mass of 85.0 kg. Ignore friction in the bicycle mechanism and between the bicycle tires and the road. (a) What is the total external work done on the system of Jonathan and the bicycle between the time he starts up the hill and the time he reaches the top? (b) What is the change in potential energy stored in Jonathans body during this process? (c) How much work does Jonathan do on the bicycle pedals within the JonathanbicycleEarth system during this process?A particle moves in the xy plane (Fig. P9.30) from the origin to a point having coordinates x = 7.00 m and y = 4.00 m under the influence of a force given by F=3y2+x. a. What is the work done on the particle by the force F if it moves along path 1 (shown in red)? b. What is the work done on the particle by the force F if it moves along path 2 (shown in blue)? c. What is the work done on the particle by the force F if it moves along path 3 (shown in green)? d. Is the force F conservative or nonconservative? Explain. FIGURE P9.30 In each case, the work is found using the integral of Fdr along the path (Equation 9.21). W=rtrfFdr=rtrf(Fxdx+Fydy+Fzdz) (a) The work done along path 1, we first need to integrate along dr=dxi from (0,0) to (7,0) and then along dr=dyj from (7,0) to (7,4): W1=x=0;y=0x=7;y=0(3y2i+xj)(dxi)+x=7;y=0x=7;y=4(3y2i+xj)(dyj) Performing the dot products, we get W1=x=0;y=0x=7;y=03y2dx+x=7;y=0x=7;y=4xdy Along the first part of this path, y = 0 therefore the first integral equals zero. For the second integral, x is constant and can be pulled out of the integral, and we can evaluate dy. W1=0+x=7;y=0x=7;y=4xdy=xy|x=7;y=0x=7;y=4=28J (b) The work done along path 2 is along dr=dyj from (0,0) to (0,4) and then along dr=dxi from (0,4) to (7,4): W2=x=0;y=0x=0;y=4(3y2i+xj)(dyj)+x=0;y=4x=7;y=4(3y2i+xj)(dyi) Performing the dot product, we get: W2=x=0;y=0x=0;y=4xdy+x=0;y=4x=7;y=43y2dx Along the first part of this path, x = 0. Therefore, the first integral equals zero. For the second integral, y is constant and can be pulled out of the integral, and we can evaluate dx. W2=0+3y2x|x=0;y=4x=7;y=4=336J (c) To find the work along the third path, we first write the expression for the work integral. W=rtrfFdr=rtrf(Fxdx+Fydy+Fzdz)W=rtrf(3y2dx+xdy)(1) At first glance, this appears quite simple, but we cant integrate xdy=xy like we might have above because the value of x changes as we vary y (i.e., x is a function of y.) [In parts (a) and (b), on a straight horizontal or vertical line, only x or y changes]. One approach is to parameterize both x and y as a function of another variable, say t, and write each integral in terms of only x or y. Constraining dr to be along the desired line, we can relate dx and dy: tan=dydxdy=tandxanddx=dytan(2) Now, use equation (2) in (1) to express each integral in terms of only one variable. W=x=0;y=0x=7;y=43y2dx+x=0;y=0x=7;y=4xdyW=y=0y=43y2dytan+x=0x=7xtandx We can determine the tangent of the angle, which is constant (the angle is the angle of the line with respect to the horizontal). tan=4.007.00=0.570 Insert the value of the tangent and solve the integrals. W=30.570y33|y=0y=4+0.570x22|x=0x=7W=112+14=126J (d) Since the work done is not path-independent, this is non-conservative force. Figure P9.30ANS
- Integrated Concepts (a) What force must be supplied by an elevator cable to produce an acceleration of 0.800 m/s2 against a 200-N frictional force, if the mass of the loaded elevator is 1500 kg? (b) How much work is done by the cable in lifting the elevator 20.0 m? (c) What is the final speed of the elevator if it starts from rest? (d) How much work went into thermal energy?A particle is subject to a force Fx that varies with position as shown in Figure P7.9. Find the work done by the force on the particle as it moves (a) from x = 0 to x = 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?A block is placed on top of a vertical spring, and the spring compresses. Figure P8.24 depicts a moment in time when the spring is compressed by an amount h. a. To calculate the change in the gravitational and elastic potential energies, what must be included in the system? b. Find an expression for the change in the systems potential energy in terms of the parameters shown in Figure P8.24. c. If m = 0.865 kg and k = 125 N/m, find the change in the systems potential energy when the blocks displacement is h = 0.0650 m, relative to its initial position. FIGURE P8.24
- A small object is attached to two springs of the same length l, but with different spring constants k1 and k2 as shown in Figure P9.31. Initially, both springs are relaxed. The object is then displaced straight along the x axis from xi to xf. Find an expression for the work done by the springs on the object.A 5.00-kg block is set into motion up an inclined plane with an initial speed of i = 8.00 m/s (Fig. P8.23). The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of = 30.0 to the horizontal. For this motion, determine (a) the change in the blocks kinetic energy, (b) the change in the potential energy of the block-Earth system, and (c) the friction force exerted on the block (assumed to be constant). (d) What is the coefficient of kinetic friction?A particle moves in one dimension under the action of a conservative force. The potential energy of the system is given by the graph in Figure P8.55. Suppose the particle is given a total energy E, which is shown as a horizontal line on the graph. a. Sketch bar charts of the kinetic and potential energies at points x = 0, x = x1, and x = x2. b. At which location is the particle moving the fastest? c. What can be said about the speed of the particle at x = x3? FIGURE P8.55
- Figure P8.39 shows two bar charts. In each, the final kinetic energy is unknown. a. Find Kf. b. If m = 2.5 kg, find vf.As a simple pendulum swings back and forth, the forces acting on the suspended object are the force of gravity, the tension in the supporting cord, and air resistance, (a) Which of these forces, if any, does no work on the pendulum? (b) Which of these forces does negative work at all times during the pendulums motion? (c) Describe the work done by the force of gravity while the pendulum is swinging.A horizontal spring attached to a wall has a force constant of k = 850 N/m. A block of mass m = 1.00 kg is attached to the spring and rests on a frictionless, horizontal surface as in Figure P8.35. (a) The block is pulled to a position xi = 6.00 cm from equilibrium and released. Find the elastic potential energy stored in the spring when the block is 6.00 cm from equilibrium and when the block passes through equilibrium. (b) Find the speed of the block as it passes through the equilibrium point. (c) What is the speed of the block when it is at a position xi/2 = 3.00 cm? (d) Why isnt the answer to part (c) half the answer to part (b)? Figure P8.35