A 2.00 kg block slides on a rough horizontal surface. The block hits a spring with a speed of 2.00 m/s and compresses it a distance of 11.0 cm before coming to rest.
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Q: A block slides on a rough horizontal surface. The block hits a spring with a speed of 2.00 m/s and…
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A: Given, mass of block, m = 0.36 kg x = 0.028 m
Q: A 1.60 kg block slides on a rough horizontal surface. The block hits a spring with a speed of 2.10…
A: Given: m=1.60kgv=2.10 m/sx=11.0 cm=0.11mμ=0.460
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Q: 12. A 0.15 kg ball is sent at the spring (k=110 N/m) at 2.2 m/s. What is the maximum compression…
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Q: There is a block, call is mass 1 of 1.2kg. It is being compressed 75 mm into a spring with a k value…
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Q: A 100-g block hangs from a spring with k = 5.00 N / m. At t = 0, the block is 20 cm below the…
A: The mean position of the block during the hangs of the spring the vertical oscillation is mgk…
Q: Initially sliding with a speed of 4.1 m/s, a 1.7 kg block collides with a spring and compresses it…
A: Given- Velocity of block (V) = 4.1 m/s Mass of block (m) = 1.7 kg Compressed sprinf (x) = 0.32 m
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Q: If a 4-kg block is placed against the spring and the spring is released, what will be the speed of…
A: GIVEN: Mass of block =4 kg For the spring Work done =12kx2 where k is spring constant x…
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A: Given:- A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m The block…
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Q: When a 0.34-kg block is suspended on a vertical spring, it causes it to stretch 2.90 cm. If the…
A: M= 0.34kg x= 2.9cm = 0.029m y= 7.6cm = 0.076m
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Q: Mickey, a daredevil mouse of mass 0.0217 kg, is attempting to become the world's first "mouse…
A: mass of mouse = m = 0.0217kg force constant = k = 60.3 N/m distance = x =0.149m
Q: A 2.00kg block is pushed against a spring with negligible mass and force constant k = 435 N/m ,…
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Q: The elastic potential energy depends only on the mass of the spring True False
A: Elastic potential energy stored in the spring is given by: EPE = (1/2)*k*x^2 Where k = spring…
Q: A 3.00 kg block on a horizontal surface is placed (not attached) at rest against a horizontal…
A: The given data: The mass of the block, m = 3.00 kg The weight of the block, W = mg = 3×9.8 = 29.4 N…
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Q: Initially sliding with a speed of 4.3 m/sm/s, a 2.0 kg block collides with a spring and compresses…
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Q: A 1.90 kg block slides on a rough horizontal surface. The block hits a spring with a speed of 2.00…
A: Given that , m = 1.90 kg block Also,the block hits a spring with a speed of 2.00 m/s and compresses…
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Q: What stretch is necessary for the spring in this Example to have a potential energy of 5.00 J?
A: Given- In spring potential energy (U) is stored = 5 J Spring constant (k) = - (Force / (extension or…
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Q: A 500-g block is released from rest and slides down a frictionless track that begins 1.00 m above…
A: Mass of the block is m = 500 g Height of the block is h = 1 m Spring constant is k = 35 N/m
Q: As shown in the figure, a 1.50-kg box is held at rest against a spring with a force constant k = 650…
A: Given quantities: mass of the box (m) = 1.50 kg force constant of the spring (k) = 650 N/m…
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- Consider a block of mass 0.200 kg attached to a spring of spring constant 100 N/m. The block is placed on a frictionless table, and the other end of the spring is attached to the wall so that the spring is level with the table. The block is then pushed in so that the spring is compressed by 10.0 cm. Find the speed of the block as it crosses (a) the point when the spring is not stretched, (b) 5.00 cm to the left of point in (a), and (c) 5.00 cm to the right of point in (a).Check Your Understanding How high above the bottom of its arc is the particle in the simple pendulum above, when its speed is 0.81 m/s?A block of mass 0.250 kg is placed on top of a light, vertical spring of force constant 5 000 N/m and pushed downward so that the spring is compressed by 0.100 m. After the block is released from rest, it travels upward and then leaves the spring. To what maximum height above the point of release does it rise?
- A childs pogo stick (Fig. P7.69) stores energy in a spring with a force constant of 2.50 104 N/m. At position (x = 0.100 m), the spring compression is a maximum and the child is momentarily at rest. At position (x = 0), the spring is relaxed and the child is moving upward. At position , the child is again momentarily at rest at the top of the jump. The combined mass of child and pogo stick is 25.0 kg. Although the boy must lean forward to remain balanced, the angle is small, so lets assume the pogo stick is vertical. Also assume the boy does not bend his legs during the motion. (a) Calculate the total energy of the childstickEarth system, taking both gravitational and elastic potential energies as zero for x = 0. (b) Determine x. (c) Calculate the speed of the child at x = 0. (d) Determine the value of x for which the kinetic energy of the system is a maximum. (e) Calculate the childs maximum upward speed. Figure P7.69A pendulum, comprising a light string of length L and a small sphere, swings in the vertical plane. The string hits a peg located a distance d below the point of suspension (Fig. P7.80). (a) Show that if the sphere is released from a height below that of the peg, it will return to this height after the string strikes the peg. (b) Show that if the pendulum is released from rest at the horizontal position ( = 90) and is to swing in a complete circle centered on the peg, the minimum value of d must be 3L/5. Figure P7.80Check Your Understanding When the length of the spring in Example 8.3 changes from an initial value of 22.0 cm to a final value, the elastic potential energy it contributes changes by 0.0800 J. Find the final length.
- 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 P7.55. (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 P7.55A 75.0-kg firefighter slides down a pole while a constant friction force of 300 N retards her motion. A horizontal 20.0-kg platform is supported by a spring at the bottom of the pole to cushion the fall. The firefighter starts from rest 4.00 m above the platform, and the spring constant is 4 000 N/m. Find (a) the firefighters speed just before she collides with the platform and (b) the maximum distance the spring is compressed. Assume the friction force acts during the entire motion.A 25.0-kg child on a 2.00-m-long swing is released from rest when the ropes of the swing make an angle of 30.0 with the vertical. (a) Neglecting friction, find the childs speed at the lowest position. (b) If the actual speed of the child at the lowest position is 2.00 m/s, what is the mechanical energy lost due to friction?
- 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 fellow student tells you that she has both zero kinetic energy and zero potential energy. Is this possible? Explain.An inclined plane of angle = 20.0 has a spring of force constant k = 500 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in Figure P6.61. A block of mass m = 2.50 kg is placed on the plane at a distance d = 0.300 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance is the spring compressed when the block momentarily comes to rest?