A 6.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track. What is the force constant k of the spring? N/m
Q: A 3.4 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it…
A: Mass of the box is m = 3.4 kg Speed of the box is v = 1.8 m/s Compression of the spring is x = 7.2…
Q: A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits…
A: SOlution:
Q: A 2.4 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it…
A: Using energy conservation KE=PE stored in spring
Q: 5. A bow with an arrow is drawn back 0.50 m. The bow has a spring constant of 500 N/m. problem. (a)…
A: Given: The displacement of the bow with the arrow is 0.5 m. The spring constant of the system is 500…
Q: A 6.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.700 m by a large…
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Q: A 100-kg Cabrillo student is launched by a spring (k = 80,000 N/m) that is initially compressed by…
A: The energy of interacting bodies or particles in a closed system remains constant due to…
Q: 3. a) The 10 kg block shown in Fig. Q3(a) is subjected to a constant force of magnitude 100 N and is…
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Q: 3. A 320 g block is released from rest on a 37° ramp and slides down the ramp a distance d until it…
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Q: When a 2.40-kg object is hung vertically on a certain light spring described by Hooke's law, the…
A: According to hook's law - Force is directly proportional to the the displacement - F=kx Where, k…
Q: A 5.5 g marble is fired vertically upward using a spring gun. The spring must be compressed 8.0 cm…
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Q: A 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.600 m/s in 0.800 m by a large…
A: According to question---- Given data--- Mass m = 6.5 × 105 kg. Speed = 0.6 m / sec. X = 0.8 m. We…
Q: E. A block of 200 g mass is dropped from a height of distance of 50 cm. The force constant of the…
A: Given data: Mass (m) = 200 g = 0.200 kg Height from ball dropped = 2 m Comparison in spring (x) =…
Q: A 4.00 x 10° kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 m by a large…
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Q: A 500-g block is released from rest and slides down a frictionless track that begins 2.50 m above…
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Q: A 2.9-kg block slides with a speed of 2.1 m>son a frictionless horizontal surface until it…
A:
Q: A 4.50 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.800 m by a large…
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Q: 2 A6 kg block is moving on a rough horizontal surface (u=0.67) toward a relaxed spring with force…
A: Given that- M=6kg μk=0.67 K=200N/m Maximum…
Q: A spring compressed by 25[cm] is released in order to launch a 50 [gram] projectile straight up. The…
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Q: body moves from the initial position x1=150 mm. Q3: The spring is upstretched when x-0. If the 4…
A: k=Spring constant=4 kN/mx2=250 mmx1=150 mmθ=Slope=20°g=Acceleration due to gravity=9.81 m/s2
Q: A 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 m by a large…
A:
Q: A 6.50 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.900 m by a large…
A: Given : m = 6.50 × 105 kg v = 0.5 m/s x = 0.9 m vo = 0 (because finally the train stops)
Q: 3. A box (mass = 100 g) is initially connected to a compressed (x = 80 cm) spring (k = 100 N/m) at…
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Q: A 6.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.700 m by a large…
A:
Q: A 6.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large…
A: Given data: Mass (m) = 6.00 × 105 kg Initial velocity (v0) = 0.500 m/s Final velocity (v) = 0 m/s…
Q: In the figure, a block of mass m = 15 kg is released from rest on a frictionless incline of angle 0…
A:
Q: IP A 2.6 kg block slides with a speed of 2.5 m/s on a frictionless horizontal surface until it…
A: Given Information:- Mass of the block is m=2.6 kg. Initial speed of the block is vi=2.5 m/s. Final…
Q: In the figure, a block of mass m = 15 kg is released from rest on a frictionless incline of angle 0…
A: (a) Draw the free-body diagram of the block.
Q: A 2.50-kg block on a horizontal floor is pushed against a horizontal spring that is initially…
A: (a)
Q: One type of BB gun uses a spring-driven plunger to blow the BB from its barrel. (a) Calculate the…
A: Compression x = 0.140 m Mass m = 0.0560 kg Speed v = 18 m/s
Q: A 4.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 m by a large…
A: Given data: Mass (m) = 4.50×105 kg Speed (v) = 0.500 m/s Distance (x) = 0.600 m Required: The force…
Q: What is the force constant k of the spring (in N/m)
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Q: A 3.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.800 m by a large…
A: Basic Details According to the conservation of the energy, the kinetic energy of the subway train…
Q: The cable of the 2000 kg elevator cab in the figure snaps when the cab is at rest at the first…
A: Using force balance equations, energy conversion relations to solve the problem
Q: A0. 1kg bullet is fired horizontally at initial speed 10m/s into a 0.9kg wooden block that is…
A: Given data: Mass of bullet is, m=0.1 kg. Initial speed of bullet is, u=10 m/s. Mass of block is,…
Q: .50 x 10° kg subway train is brought to a stop from a speed of 0.500 m/s in 0.300 m by a large…
A: Given : Mass (m) = 4.50 x 105 Kg Speed (V) = 0.500 m/s Compression (x) = 0.300 m
Q: A2 kg block is attached to a spring of force constant 500 N/m, as shown in the figure below. The…
A:
Q: A 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.800 m by a large…
A: Change in kinetic energy of train is equal to the potential energy of spring,
Q: 3. A 320 g block is released from rest on a 37° ramp and slides down the ramp a distance d until it…
A:
Q: A 7.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large…
A: Using kinematic equation, the expression for calculate acceleration is v2=u2+2-asa=u2-v22s…
Q: Problem 11.50 A freight company uses a compressed spring to shoot 2.00 kg packages up a 1.00-m -high…
A:
Q: 2. Maria and Rory are using a spring launcher to move a 125 g block to the top of a ramp. The spring…
A:
Q: A 3.0 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it…
A: mass of box =m = 3 kg initial speed = V = 1.8 m/s a) compressed length = x = 4.7 cm = 0.047 m
Q: A 500-g block is released from rest and slides down a frictionless track that begins 1.86 m above…
A: Given data *The mass of the block is m = 500 g = 0.500 kg *The given height is h = 1.86 m *The…
Q: A 5.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.300 m by a large…
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Q: A 7.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…
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Q: Reggie is a trampoline artist. A) How fast is he going to lands on the trampoline, 3.0 m below if he…
A: We will use equation of motion to calculate velocity at tampoilne and will use energy conservation…
Q: 5) A 2.00-kg block is pushed against a spring with negligible mass and force constant k = 400 N/m,…
A:
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- An inclined plane of angle has a spring of force constant k fastened securely at the bottom so that the spring is parallel to the surface. A block of mass m is placed on the plane at a distance d from the spring. From this position, the block is projected downward toward the spring with speed v as shown in Figure P7.47. By what distance is the spring compressed when the block momentarily comes to rest?Consider the blockspringsurface system in part (B) of Example 8.6. (a) Using an energy approach, find the position x of the block at which its speed is a maximum. (b) In the What If? section of this example, we explored the effects of an increased friction force of 10.0 N. At what position of the block docs its maximum speed occur in this situation?(a) Sketch a graph of the potential energy function U(x)=kx2/2+Aex2 where k , A, and are constants. (b) What is the force corresponding to this potential energy? (c) Suppose a particle of mass in moving with this potential energy has a velocity v when its position is x = . Show that the particle does not pass 2+2 through the origin unless Amv2=k22(1e a 2 ) .
- A block of mass m = 5.00 kg is released from point and slides on the frictionless track shown in Figure P8.3. Determine (a) the blocks speed at points and and (b) the net work done by the gravitational force on the block as it moves from point to point . Figure P8.3A particle of mass m = 1.18 kg is attached between two identical springs on a frictionless, horizontal tabletop. Both springs have spring constant k and are initially unstressed, and the particle is at x = 0. (a) The particle is pulled a distance x along a direction perpendicular to the initial configuration of the springs as shown in Figure P7.50. Show that the force exerted by the springs on the particle is F=2kx(1Lx2+L2)i (b) Show that the potential energy of the system is U(x)=kx2+2kL(Lx2+L2) (c) Make a plot of U(x) versus x and identify all equilibrium points. Assume L = 1.20 m and k = 40.0 N/m. (d) If the panicle is pulled 0.500 m to the right and then released, what is its speed when it reaches x = 0? Figure P7.50The launching mechanism of a toy gun consists of a spring of unknown spring constant, as shown in Figure P5.39a. If the spring is compressed a distance of 0.120 m and the gun fired vertically as shown, the gun can launch a 20.0-g projectile from rest to a maximum height of 20.0 m above the starting point of the projectile. Neglecting all resistive forces, (a) describe the mechanical energy transformations that occur from the time the gun is fired until the projectile reaches its maximum height, (b) determine the spring constant, and (c) find the speed of the projectile as it moves through the equilibrium position of the spring (where x = 0), as shown in Figure P5.39b. Figure P5.39
- A jack-in-the-box is actually a system that consists of an object attached to the top of a vertical spring (Fig. P8.50). a. Sketch the energy graph for the potential energy and the total energy of the springobject system as a function of compression distance x from x = xmax to x = 0, where xmax is the maximum amount of compression of the spring. Ignore the change in gravitational potential energy. b. Sketch the kinetic energy of the system between these points the two distances in part (a)on the same graph (using a different color). FIGURE P8.50 Problems 50 and 79A 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 P8.55A 4.00-kg particle moves along the x axis. Its position O varies with time according to x = t + 2.0t3, where x is in meters and t is in seconds. Find (a) the kinetic energy of the particle at any time t (b) the acceleration of the particle and the force acting on it at time t, (c) the power being delivered to the particle at time t and (d) the work done on the particle in the interval t = 0 to t = 2.00 s.
- Why is the following situation impossible? In a new casino, a supersized pinball machine is introduced. Casino advertising boasts that a professional basketball player can lie on top of the machine and his head and feet will not hang off the edge! The ball launcher in the machine sends metal balls up one side of the machine and then into play. The spring in the launcher (Fig. P6.60) has a force constant of 1.20 N/cm. The surface on which the ball moves is inclined = 10.0 with respect to the horizontal. The spring is initially compressed its maximum distance d = 5.00 cm. A ball of mass 100 g is projected into play by releasing the plunger. Casino visitors find the play of the giant machine quite exciting.At 220 m, the bungee jump at the Verzasca Dam in Locarno, Switzerland, is one of the highest jumps on record. The length of the elastic cord, which can be modeled as having negligible mass and obeying Hookes law, has to be precisely tailored to each jumper because the margin of error at the bottom of the dam is less than 10.0 m. Kristin prepares for her jump by first hanging at rest from a 10.0-m length of the cord and is observed to stretch the rope to a total length of 12.5 m. a. What length of cord should Kristin use for her jump to be exactly 220 m? b. What is the maximum acceleration she will experience during her jump?A boy starts at rest and slides down a frictionless slide as in Figure P5.64. The bottom of the track is a height h above the ground. The boy then leaves the track horizontally, striking the ground a distance d as shown. Using energy methods, determine the initial height H of the boy in terms of h and d. Figure P5.64