(b) 2.0 kg 30 cm FIGURE 3.0 An object of mass 2.0 kg is placed 30 cm directly above the top end of a vertical spring as shown in FIGURE 3.0. The spring constant k =2000 N ml. (i) (ii) Calculate the speed of the object just before striking the spring. Determine the maximum compression x. [ v=2.43 ms', x=0.077m]
Q: A light spring with force constant 3.10 N/m is compressed by 7.80 cm as it is held between a…
A: Mass of left block=m1=0.4 kg Mass of right block=m2=0.8kg Let acceleration of m1=a1 m/s^2 and…
Q: You attach a block to the bottom end of a spring hang- ing vertically. You slowly let the block move…
A: The net force applied on the block,
Q: A 90 cm long spring has a force applied to it. The spring is stretched 25 cm by the force. The…
A: The equation for the magnitude of the force applied is
Q: A 9.20 kg rocket produces a thrust of 190 N. The rocket is pointed upward and the bottom of the…
A: Work done in stretching the spring will be,
Q: A block of mass 12.5 kg is launched on a horizontal, frictionless surface by compressing a spring…
A: Mass of the block is m=12.5 kg Spring constant of the spring is k=43.0 N/m Releasing distance of the…
Q: 17. A force of 3.0 N elongates a spring by 6.0 cm. How much force is needed to elongate spring an…
A:
Q: A 25.0 cm long spring Is hung vertically from a celling and stretches to 30.5 cm when 7.00 kg mass…
A:
Q: 3. The diagram shows how the length of a spring changes when a load of 10N is hung on it. S cm 8cm…
A:
Q: A 0.122-kg dart is fired from a gun with a speed of 122 m/s horizontally into a 5.00-kg wooden…
A:
Q: A small 4 kg block is accelerated from rest on a flat surface by a compressed spring (k = 647 N/m)…
A:
Q: A spring is such that a 4-lb weight stretches it 6 in. An impressed force ; Ecos8t is acting on the…
A: There is no damping in this case. The spring, however, is being acted upon by an impressed force cos…
Q: In a spring-loaded gun, a ball is launched horizontally by compressing a horizontal spring with the…
A:
Q: The bob of a pendulum of length 1 = 0.8 m is released at an angle 0,= 60° with an initial speed of…
A: "Since you have posted a question with multiple sub-parts, as per our guidelines we will solve first…
Q: An object with mass m is suspended at rest a spring with a spring constant of 200 N/m. The length of…
A: Energy stored in spring = (1/2)kx2 Where k = spring constant x= stretched lengh
Q: 3/179 At time t = 0, the velocity of cylinder A is 0.3 m/s down. By the methods of this article,…
A:
Q: FInd the full derivation of the two equations below solving the expression for the velocity of the…
A: From the conservation of momentum and energy, the expression for the velocity can be found out.
Q: 3. The length of the string is L The mass of the ball attached to it is M The spring constant is k…
A:
Q: wwwwwm™ A mass M is attached to a spring, which exerts no force at position C (equilibrium). The…
A: solution is given by
Q: 3. A spring is mounted vertically (k= 800/m) and is compressed down 0.200 meter. Find the upward…
A: We can solve this problem using conservation of energy
Q: position, it has a velocity of 2.20 m/s to the right and an accelera- tion of 8.40 m/s² to the left.…
A:
Q: A 0.50 kg football is kicked from ground level with an initial velocity of 13.0 m/s [F 37° U] (37°…
A:
Q: 1. A9 kg collar slides without friction along a vertical rod as 200 mm shown. The spring attached to…
A: At position 1: Determine the potential energy. Determine the kinetic energy.
Q: Two objects of masses m, horizontal frictionless surface and constant k = 300 N/m is placed between…
A: m1 =0.50 kg m2 = 1.00 kg Spring constant (k) = 300 N/m Initial compression (xi) = 10 cm = 0.1 m
Q: simple pendulum is suspended from the ceiling by means of a string of length 2.00 m. Now you start…
A:
Q: 3. Two masses of I kg and 0.5 kg are connected as in figure. The mass on the table is connected to a…
A: Given:
Q: 8. A vertically mounted spring (k = 800 N/m) is compressed by 21.0 cm relative to its unstrained…
A:
Q: A mass is attached to a spring and allowed to hang vertically from a fixe support. The spring…
A: The mass has the maximum speed when it is passing through the equilibrium position after being…
Q: If the coefficient of kinetic friction between the 80- kg crate and the plane is = 0.15, determine…
A:
Q: An 8 kg block attached to a spring with a spring constant of 7 N/m oscillates horizontally on a…
A:
Q: A mass resting on a horizontal, frictionless surface is attached to one end of a spring; the other…
A: Write the given values with the suitable variables. W=3 Jx=0.13 ma=12 m/s2 Here, W, x, and a are the…
Q: Consider the track shown in the figure. The section AB is one quadrant of a circle of radius 2.0 m…
A: Since AB is frictionless,there will be no loss of energyPE at A =KE at B =mgh(KE at B)-(Energy lost…
Q: 1) Calculate the maximum displacement x that the spring is compressed if the mass m=2 kg is released…
A:
Q: 13. A 1.30-kg pendulum bob is pulled to the side, raising it 19.0 cm above its rest position. After…
A: Given Mass of pendulum m=1.30kg Height h=0.19m
Q: This, the length of the pendulum is 1.03 m. Now you start with the pendulum at 28.7 degrees with…
A:
Q: 0 kg block is connected to a constant spring k= 7kn and can move without friction in a groove as…
A: Given:- mass m = 10 kg The spring constant k = 7 KN = 7 x 103 N The mass pushed down y = 100 mm =…
Q: co it. Removing the 1 kg mass and replacing it with a 0.50 kg mass then releasing the spring, how…
A:
Q: The position of a 0.30-kg object attached to a spring is described by x = (0.20 m) cos(0.6?t). (d)…
A: We know, instantaneous speed of a object at postion x is given by , v = dx/dt
Q: A spring-loaded Nerf gun can shoot a foam bullet 11.0 m straight up into the air when the spring is…
A:
Q: - One type of BB gun uses a spring-driven plunger to blow the BB from its barrel. (a) Calculate the…
A: The elastic potential energy stored in a compressed spring is given by UE = 12kx2, where k = spring…
Q: 2. A mass of 2 kg is suspended from a spring with a known spring constant of 10 N/m and allowed to…
A:
Q: A block is attached to a spring and set in motion. For this spring and block, the location on the…
A: At the maximum distance from the resting position, the speed of the block will be zero. The speed of…
Q: As shown in the figure below, m1=2 kg moves with velocity of 5 m/s on a frictionless surface, and…
A: Here as there is no mention of elasticity, we take the collision as an elastic collision. In an…
Q: A 5.00 gram bullet into a 1.00 kg block attached to a spring [k=900 N/m]. The bullet emerges through…
A: Given that, mass of bullet(m1)= 5gm mass of block(m2) =1kg spring…
Q: 1. The tower is 45 m. How long does it take the watermelon to fall to the trampoline? a. 3 seconds…
A:
Q: A 475.-g mass at rest on the end of a horizontal spring with spring constant 925. N/m is struck by a…
A: Given Information:- Mass is m=475 g =475 g×1 kg1000 g =0.475 kg Spring constant of the spring is…
Q: A block on the end of a spring is pulled to a position x=A and released from rest. In one full cycle…
A: Initial position of the block is at 0 i.e rest Block is pulled to a distance A
Step by step
Solved in 3 steps with 3 images
- A block of mass M rests on a table. It is fastened to the lower end of a light, vertical spring. The upper end of the spring is fastened to a block of mass m. The upper block is pushed down by an additional force 3mg, so the spring compression is 4mg/k. In this configuration, the upper block is released from rest. The spring lifts the lower block off the table. In terms of m, what is the greatest possible value for m?You are lying in your bedroom, resting after doing your physics homework. As you stare at your ceiling, you come up with the idea for a new game. You grab a dart with a sticky nose and a mass of 19.0 g. You also grab a spring that has been lying on your desk from some previous project. You paint a target pattern on your ceiling. Your new game is to place the spring vertically on the floor, place the sticky-nose dart facing upward on the spring, and push the spring downward until the coils all press together, as on the right in Figure P7.26. You will then release the spring, firing the dart up toward the target on your ceiling, where its sticky nose will make it hang from the ceiling. The spring has an uncompressed end-to-end length of 5.00 cm, as shown on the left in Figure P7.26, and can be compressed to an end-to-end length of 1.00 cm when the coils are all pressed together. Before trying the game, you hold the upper end of the spring in one hand and hang a bundle of ten identical darts from the lower end of the spring. The spring extends by 1.00 cm due to the weight of the darts. You are so excited about the new game that, before doing a test of the game, you run out to gather your friends to show them. When your friends are in your room watching and you show them the first firing of your new game, why are you embarrassed? Figure P7.26Review. A light spring has unstressed length 15.5 cm. It is described by Hookes law with spring constant 4.30 N/m. One end of the horizontal spring is held on a fixed vertical axle, and the other end is attached to a puck of mass m that can mow without friction over a horizontal surface. The puck is set into motion in a circle with a period of 1.30 s. (a) Find the extension of the spring x as it depends on m. Evaluate x for (b) m = 0.070 0 kg. (c) m = 0.140 kg, (d) m = 0.180 kg, and (e) m = 0.190 kg. (f) Describe the pattern of variation of x as it depends on m.
- You attach a block to the bottom end of a spring hanging vertically. You slowly let the block move down and find that it hangs at rest with the spring stretched by 15.0 cm. Next, you lilt the block back up to the initial position and release it from rest with the spring unstretched. What maximum distance does it move dawn? (a) 7.5 cm (b) 15.0 cm (c) 30.0 cm (d) 60.0 cm (e) The distance cannot be determined without knowing the mass and spring constant.In a needle biopsy, a narrow strip of tissue is extracted from a patient with a hollow needle. Rather than being pushed by hand, to ensure a clean cut the needle can be fired into the patients body by a spring. Assume the needle has mass 5.60 g, the light spring has force constant 375 N/m, and the spring is originally compressed 8.10 cm to project the needle horizontally without friction. The tip of the needle then moves through 2.40 cm of skin and soft tissue, which exerts a resistive force of 7.60 N on it. Next, the needle cuts 3.50 cm into an organ, which exerts a backward force of 9.20 N on it. Find (a) the maximum speed of the needle and (b) the speed at which a flange on the back end of the needle runs into a stop, set to limit the penetration to 5.90 cm.A cafeteria tray dispenser supports a stack of trays on a shelf that hangs from four identical spiral springs under tension, one near each corner of the shelf. Each tray is rectangular, 45.3 cm by 35.6 cm. 0.450 cm thick, and with mass 580 g. (a) Demonstrate that the top tray in the stack can always be at the same height above the floor, however many trays are in the dispenser, (b) Find the spring constant each spring should have for the dispenser to function in this convenient way. (c) Is any piece of data unnecessary for this determination?
- You attach a block to the bottom end of a spring hanging vertically. You slowly let the block move down and find that it hangs at rest with the spring stretched by 15.0 cm. Next, you lift the block back up to the initial position and release it from rest with the spring unstretched. What maximum distance does it move down? (a) 7.5 cm (b) 15.0 cm (c) 30.0 cm (d) 60.0 cm (e) The distance cannot be determined without knowing the mass and spring constant.A 35.0-cm long spring is hung vertically from a ceiling and stretches to 41.5 cm when a 7.50-kg weight is hung from its free end. (a) Find the spring constant. (b) Find the length of the spring if the 7.50-kg weight is replaced with a 195-N weight.One type of toy car contains a spring that is compressed as the wheels are rolled backward along a surface. The spring remains compressed until the wheels are freed and the car is allowed to roll forward. Jose learns that if he rolls the car backward for a greater distance (up to a certain point), the car will go faster when he releases it. The spring compresses 1.00 cm for every 10.0 cm the car is rolled backward. a. Assuming the spring constant is 150.0 N/m, what is the elastic potential energy stored in the spring when Jose rolls the car backward 20.0 cm? b. What is the elastic potential energy stored in the spring when he rolls the car backward 30.0 cm? c. Explain the correlation between the results for parts (a) and (b) and Joses observations of different speeds.
- An archer pulls her bowstring back 0.400 m by exerting a force that increases uniformly from zero to 230 N. (a) What is the equivalent spring constant of the bow? (b) How much work does the archer do in pulling the bow? Figure P5.64Review. This problem extends the reasoning of Problem 41 in Chapter 9. Two gliders are set in motion on an air track. Glider 1 has mass m1 = 0.240 kg and moves to the right with speed 0.740 m/s. It will have a rear-end collision with glider 2, of mass m2 = 0.360 kg, which initially moves to the right with speed 0.120 m/s. A light spring of force constant 45.0 N/m is attached to the back end of glider 2 as shown in Figure P9.41. When glider 1 touches the spring, superglue instantly and permanently makes it stick to its end of the spring. (a) Find the common speed the two gliders have when the spring is at maximum compression. (b) Find the maximum spring compression distance. The motion after the gliders become attached consists of a combination of (1) the constant-velocity motion of the center of mass of the two-glider system found in part (a) and (2) simple harmonic motion of the gliders relative to the center of mass. (c) Find the energy of the center-of-mass motion. (d) Find the energy of the oscillation.As a 75.0-kg man steps onto a bathroom scale, the spring inside the scale compresses by 0.650 mm. Excited to see that he has lost 2.50 kg since his previous weigh-in, the man jumps 0.300 m straight up into the air and lands directly on the scale. (a) What is the springs maximum compression? (b) If the scale reads in kilograms, what reading does it give when the spring is at its maximum compression?