Q: block 2 (mass 1.0 kg) is at rest on a frictionless surface and touching the end of an unstretched…
A:
Q: A 0.220-kg block along a horizontal track has a speed of 1.20 m/s immediately before colliding with…
A: Given Mass of block is m= 0.220 kg Speed of block is v=1.20 m/s Spring constant of spring is k= 4.35…
Q: A spring-loaded pellet gun is designed to fire 3.20 g projectiles horizontally at a speed of 42.8…
A: The given data are: m=3.20 g=3.20×10-3 kgv=42.8 m/sx=8.60 cm=8.60×10-2 m
Q: A spring with spring constant k = 80 N/m has an equilibrium length of 1.00 m. The spring is…
A:
Q: A very light ideal spring with a spring constant (force constant) of 2.5 N/cm pulls horizontally on…
A: a) when box is ready to move, spring force equals static friction…
Q: In the figure, block 2 (mass 1.60 kg) is at rest on a frictionless surface and touching the end of…
A:
Q: A mass of 90g is placed on top of a vertical spring constant of 310N/m. The spring is then…
A:
Q: A spring-loaded pellet gun is designed to fire 2.50 g projectiles horizontally at a speed of 42.2…
A: Given data The mass is m=2.50 g The speed is v=42.2 m/s The spring difference is x=7.10 cm (a) The…
Q: the motion of the block, what is its maximum speed? Express your answer to three significant figures…
A:
Q: In the figure, block 2 (mass 1.40 kg) is at rest on a frictionless surface and touching the end of…
A:
Q: A horizontal block-spring system with the block on a frictionless surface has total mechanical…
A: Since you have posted a question with multiple subparts , we will solve the first three subparts for…
Q: a) when block m1 reaches the equilibrium point, as shown in figure (c) block m2 loses contact with…
A:
Q: (a) The springs of a pickup truck act like a single spring with a force constant of 1.30X105 N/m. By…
A: To determine: (a) The distance of the truck that is depressed by the maximum load (b) The force…
Q: A horizontal spring-mass system has low friction, spring stiffness 220 N/m, and mass 0.4 kg. The…
A:
Q: 65 kg person jumps from a window to a fire net 18 m below, which stretches the net 1.1 m. Assuming…
A: according to conservation of energy total energy remains constant total decrease in height of person…
Q: The spring of a toy revolver has an elastic constant k. The revolver is tilted at an angle θ to the…
A: When the toy gun fires the mass, since the gun is tilted, the mass has an initial velocity component…
Q: (Section B) A gun barrel of mass 500kg has a recoil spring of stiffness 3,00,000 N/m. If the barrel…
A:
Q: Problem C) A block of mass 5 kg has a speed of 2 m/s at a height h above a spring (spring constant k…
A: Given: The mass of the block is m=5 kg. The speed is v= 2m/s. The spring constant is k=1000 N/m. The…
Q: A 2.0kg mass is placed against a spring of force constant 800.0N/m, which has been compressed 0.22m.…
A: Given Data: The mass of the object is: m=2.0 kg The force constant of the spring is: k=800.0 N/m The…
Q: 2. A 2.0-kg block of wood is attached to a horizontal spring that is at its equilibrium length (not…
A:
Q: (a) The springs of a pickup truck act like a single spring with a force constant of 1.30 × 105 N/m .…
A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: A body of mass is attached to a spring with an elastic constant equal to 282 N/m. When equal to 5.56…
A:
Q: A 30g wood block is firmly attached to a horizontal spring. The coefficient of friction between the…
A: (b) Let F denotes the force, k denotes the spring constant, and A denotes the maximum compression.…
Q: A block of mass 2.80 kg is placed against a horizontal spring of constant k = 805 N/m and pushed so…
A: a)The required elastic potential is,
Q: llet with a mass ?b=13.5g is fired into a block of wood at velocity ?b=261 m/s. The block is…
A: givenMass of Bullet, mb=13.5 g=0.0135 kgVelocity of bullet, vb=261 m/sSpring constant, k=205…
Q: In the figure, block 2 (mass 1.20 kg) is at rest on a frictionless surface and touching the end of…
A:
Q: A 0.300-kg block along a horizontal track has a speed of 1.60 m/s immediately before colliding with…
A:
Q: B/ A copper spring with elastic constant of 28 N/m was placed horizontally and attached to a mass of…
A: Given Spring constant k=28N/m Mass m=0.25kg Amplitude A=0.06m
Q: In the figure, block 2 (mass 1.20 kg) is at rest on a frictionless surface and touching the end of…
A: Mass of block 1(m1) =1.40 kg It's speed (V1) =3.30 m/s Mass of block 2(m2) =1.20 kg Block m1 sticks…
Q: A horizontal block–spring system with the block on a frictionless surface has total mechanical…
A:
Q: A particle with a mass of 0.500 kg is attached to a horizontal spring with a force constant of 50.0…
A: Given data: The mass of a particle is: m = 0.5 kg The angular frequency is: ω The force constant is:…
Q: Part A During the motion of the block, what is its maximum speed? Express your answer to three…
A: Given Mass of block m=0.4kg Spring constant k=200N/m speed at x=0.160m is v=3m/s
Q: A horizontal block-spring system with the block on a frictionless surface has total mechanical…
A:
Q: When a 2.10-kg object is hung vertically on a certain light spring described by Hooke's law, the…
A: Given mass of object m = 2.10 kg stretch in spring y = 2.98 cm = 0.0298 m We have to find our spring…
Q: A spring with a spring constant of 383 N/m is initially compressed by a distance of 0.076 m from its…
A: The elastic potential energy stored in a compressed spring is given by UE = 12kx2, where k = spring…
Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 745 N/m and pushed so…
A: (a) The elastic potential energy of the block spring system is, U=12kx2=12745 N/m0.0550 m2=1.13 J
Q: A block with a mass m = 2.5 kg is pushed into an ideal spring whose spring constant is k = 4520 N/m.…
A:
Q: A 0.250 - kg block along a horizontal track has a speedof 1.50 m/s immediately before colliding with…
A: According to law of conservation of energy, potential energy of the system is equal to kinetic…
Q: A horizontal spring attached to a wall has a force constant of 720 N/m. A block of mass 1.90 kg is…
A:
Q: In the frictionless horizontal plane, the first blocks with masses of m, 2m and 3m, respectively,…
A: Given: Three masses have values = m, 2m, 3m. The velocity of mass m = v. The spring coefficient = k…
Q: A rifle bullet with mass of 7.50 g strikes and embeds itself in a 0.870 kg block resting on a…
A:
Q: (a) The springs of a pickup truck act like a single spring with a force constant of 1.30×105 N/m .…
A: Given data *The given force constant is k = 1.30 × 105 N/m *The given mass is m = 1000 kg
Q: A mass is vibrating at the end of a spring of force constant 225 N/m. Figure 1 shows a graph of its…
A: a) at t = 0,1,2,3,4 sec particle is not moving b) initial energy = (1/2)kA2 = (1/2)×225×72 =…
Q: A 2.50-kg block on a horizontal floor is pushed against a horizontal spring that is initially…
A:
Q: (a) The springs of a pickup truck act like a single spring with a force constant of 1.30×105 N/m .…
A:
Given:
Mass of the bullet = 10 g
Mass of the block = 1.60 Kg
Value of spring constant = 23.7 N/m
Speed of the bullet = 300 m/s
The distance of compression of spring =?
Step by step
Solved in 3 steps
- A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 47.0 J and a maximum displacement from equilibrium of 0.240 m. (a) What is the spring constant? (b) What is the kinetic energy of the system at the equilibrium point? (c) If the maximum speed of the block is 3.45 m/s, what is its mass? (d) What is the speed of the block when its displacement is 0.160 m? (e) Find the kinetic energy of the block at x = 0.160 m. (f) Find the potential energy stored in the spring when x = 0.160 m. (g) Suppose the same system is released from rest at x = 0.240 m on a rough surface so that it loses 14.0 J by the time it reaches its first turning point (after passing equilibrium at x = 0). What is its position at that instant?A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure P7.15. The block is pulled to a position xi = 5.00 cm to the right of equilibrium and released from rest. Find the speed the block has as it passes through equilibrium if (a) the horizontal surface is frictionless and (b) the coefficient of friction between block and surface is k = 0.350. Figure P7.15Consider the data for a block of mass m = 0.250 kg given in Table P16.59. Friction is negligible. a. What is the mechanical energy of the blockspring system? b. Write expressions for the kinetic and potential energies as functions of time. c. Plot the kinetic energy, potential energy, and mechanical energy as functions of time on the same set of axes. Problems 5965 are grouped. 59. G Table P16.59 gives the position of a block connected to a horizontal spring at several times. Sketch a motion diagram for the block. Table P16.59
- A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 47.0 J and a maximum displacement from equilibrium of 0.240 m. (a) What is the spring constant? (b) What is the kinetic energy of the system at the equilibrium point? (c) If the maximum speed of the block is 3.45 m/s, what is its mass? (d) What is the speed of the block when its displacement is 0.160 m? (e) Find the kinetic energy of the block at x = 0.160 m. (f) Find the potential energy stored in the spring when x = 0.160 m. (g) Suppose the same system is released from rest at x = 0.240 m on a rough surface so that it loses 14.0 J by the time it reaches its first turning point (after passing equilibrium at x = 0). What is its position at that instant?A spring with spring constant 25 N/m is compressed a distance of 7.0 cm by a ball with a mass of 202.5 g (Fig. P13.33). The ball is then released and rolls without slipping along a horizontal surface, leaving the spring at point A. The process is repeated, using a block instead, with a mass identical to that of the ball. The block compresses the spring by 7.0 cm and is also released, leaving the spring at point A. Assume the ball rolls, but ignore other effects of friction. a. What is the speed of the ball at point B? b. What is the speed of the block at point B? FIGURE P13.33 Problems 33 and 34.Review. A 0.250-kg block resting on a frictionless, horizontal surface is attached to a spring whose force constant is 83.8 N/m as in Figure P15.15. A horizontal force F causes the spring to stretch a distance of 5.46 cm from its equilibrium position. (a) Find the magnitude of F. (b) What is the total energy stored in the system when the spring is stretched? (c) Find the magnitude of the acceleration of the block just after the applied force is removed. (d) Find the speed of the block when it first reaches the equilibrium position. (e) If the surface is not frictionless but the block still reaches the equilibrium position, would your answer to part (d) be larger or smaller? (f) What other information would you need to know to find the actual answer to part (d) in this case? (g) What is the largest value of the coefficient of friction that would allow the block to reach the equilibrium position? Figure P15.15
- A spring 1.50 m long with force constant 475 N/m is hung from the ceiling of an elevator, and a block of mass 10.0 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (b) If the elevator subsequently accelerates upward at 2.00 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion?An automobile having a mass of 1.00 103 kg is driven into a brick wall in a safety test. The bumper behaves like a spring with constant 5.00 105 N/m and is compressed 3.16 cm as the car is brought to rest. What was the speed of the car before impact, assuming no energy is lost in the collision with the wall?A horizontal spring attached to a wall has a force constant of 850 N/m. A block of mass 1.00 kg is attached to the spring and oscillates freely on a horizontal, frictionless surface as in Figure 5.22. The initial goal of this problem is to find the velocity at the equilibrium point after the block is released. (a) What objects constitute the system, and through what forces do they interact? (b) What are the two points of interest? (c) Find the energy stored in the spring when the mass is stretched 6.00 cm from equilibrium and again when the mass passes through equilibrium after being released from rest. (d) Write the conservation of energy equation for this situation and solve it for the speed of the mass as it passes equilibrium. Substitute to obtain a numerical value. (e) What is the speed at the halfway point? Why isnt it half the speed at equilibrium?
- Review. 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.A 1.50-kg mass is attached to a spring with spring constant 33.0 N/m on a frictionless, horizontal table. The springmass system is stretched to 4.00 cm beyond the equilibrium position of the spring and is released from rest at t = 0. a. What is the maximum speed of the 1.50-kg mass? b. What is the maximum acceleration of the 1.50-kg mass? c. What are the position, velocity, and acceleration of the 1.50-kg mass as functions of time?A spring 1.50 m long with force constant 475 N/m is hung from the ceiling of an elevator, and a block of mass 10.0 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (b) If the elevator subsequently accelerates upward at 2.00 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion?