A block with a mass m₁ = 9.20 kg is attached to a lightweight spring with a spring constant k = 100 N/m that is attached to a wall. Initially the block is at restand the spring is relaxed, as shown in figure (a). A second block with a mass m₂ = 7.00 kg is pushed up against block m₁, compressing the spring a distanceA = 0.140 m, as shown in figure (b). The two blocks are released from rest, and both start moving to the right with negligible friction.abdkm₁ m₂cmkm1my m₂m₁m₂(a) When block m₁ reaches the equilibrium point, as shown in figure (c), block m₂ loses contact with block m₁. Block m₂ continues to move right at a speed v.What is the speed v (in m/s)?m/s(b) Block m, continues to move right, reaching the point where the spring is at the maximum stretch (for the first time), as shown in figure (d). At this point,what is the distance D between the two blocks (in cm)? (Assume the widths of the blocks are much smaller than D.)

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A block with a mass m₁ = 9.20 kg is attached to a lightweight spring with a spring constant k = 100 N/m that is attached to a wall. Initially the block is at rest and the spring is relaxed, as shown in figure (a). A second block with a mass m₂ = 7.00 kg is pushed up against block m₁, compressing the spring a distance A = 0.140 m, as shown in figure (b). The two blocks are released from rest, and both start moving to the right with negligible friction. a b C k k cm m₂ m₁ A- T m₁ m₂ m₁ m₂ (a) When block m₁ reaches the equilibrium point, as shown in figure (c), block m₂ loses contact with block m₁. Block m₂ continues to move right at a speed v. What is the speed v (in m/s)? m/s (b) Block m, continues to move right, reaching the point where the spring is at the maximum stretch (for the first time), as shown in figure (d). At this point, what is the distance D between the two blocks (in cm)? (Assume the widths of the blocks are much smaller than D.)

A block with a mass m₁ = 9.20 kg is attached to a lightweight spring with a spring constant k = 100 N/m that is attached to a wall. Initially the block is at rest and the spring is relaxed, as shown in figure (a). A second block with a mass m₂ = 7.00 kg is pushed up against block m₁, compressing the spring a distance A = 0.140 m, as shown in figure (b). The two blocks are released from rest, and both start moving to the right with negligible friction. a b C k k cm m₂ m₁ A- T m₁ m₂ m₁ m₂ (a) When block m₁ reaches the equilibrium point, as shown in figure (c), block m₂ loses contact with block m₁. Block m₂ continues to move right at a speed v. What is the speed v (in m/s)? m/s (b) Block m, continues to move right, reaching the point where the spring is at the maximum stretch (for the first time), as shown in figure (d). At this point, what is the distance D between the two blocks (in cm)? (Assume the widths of the blocks are much smaller than D.)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

A block with a mass m₁ = 9.20 kg is attached to a lightweight spring with a spring constant k = 100 N/m that is attached to a wall. Initially the block is at rest
and the spring is relaxed, as shown in figure (a). A second block with a mass m₂ = 7.00 kg is pushed up against block m₁, compressing the spring a distance
A = 0.140 m, as shown in figure (b). The two blocks are released from rest, and both start moving to the right with negligible friction.
a
b
d
k
m₁ m₂
cm
k
m1
my m₂
m₁
m₂
(a) When block m₁ reaches the equilibrium point, as shown in figure (c), block m₂ loses contact with block m₁. Block m₂ continues to move right at a speed v.
What is the speed v (in m/s)?
m/s
(b) Block m, continues to move right, reaching the point where the spring is at the maximum stretch (for the first time), as shown in figure (d). At this point,
what is the distance D between the two blocks (in cm)? (Assume the widths of the blocks are much smaller than D.)

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