A block of mass m = 0.32 kg is set against a spring with a spring constant of k1 = 681 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2 = 466 N/m.   1.  Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is μk = 0.5. If the distance between the springs is x = 1 m, how far d2, in meters, will the second spring now compress?

Q: At the bottom of a plane that makes angle 34 degrees with the horizon there is a 0.15 kg block put…

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Q: The figure shows a system of masses. The mass of 2m is connected to an immobile wall with a spring…

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Q: A block of mass m = 2.8 kg is dropped (starting from rest) from a height h = 0.81 meters above the…

A: Consider the top of the spring as the reference line. Apply principle of conservation of energy…

Q: In the figure, a 2.7 kg block is accelerated from rest by a compressed spring of spring constant 660…

A: the vertical forces are normal force (up) and gravity force (down).  As Vertical component = 0

Q: An ideal spring is holding up a massless pulley as shown above. The end of the rope running over the…

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Q: (b) An clastic string AB of natural length 2 m has the end A fixed. A load of mass 4kg is attached…

A: →Let AB be the string  of length 2 m with mass 4 kg attached  at B which is     rotating at a speed…

Q: A pendulum consists of a mass, called a bob, that is affixed to the end of a string of length L.…

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Q: A spring (k = 193.7 n/m) is compressed 1.35 m by a block of mass 5 kg. The system is released from…

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Q: A weight of 40N is placed on a horizontal plane touching one end of a horizontal spring whose other…

A: Given spring constant k= 5N/mm=5000N/m Weight of block =40N this gives mass m of block =4.08kg ~4 kg…

Q: A block P of weight 50 N is kept on a plane and now pulled so that the extension in the spring is 10…

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Q: A 2.03 kg ball is pushed against a horizontal spring whose force constant is 1108 N/m, compressing…

A: mass of ball = 2.03 kg k = 1108 Nm x = 0.201 m coefficient of kinetic friction = 0.249d = 1.44 m θ =…

Q: A spring with a spring constant of 335 N/m is initially compressed by a distance of 0.045 m from its…

A: Given data: k = 335 N/m x= 0.045 m m=0.045 kg Need to determine the speed of the block.

Q: a box of mass  m = 9.20 kg is sliding across a horizontal frictionless surface with an initial speed…

A: According to the law of conservation of energy , energy can neither be created nor destroyed but can…

Q: A block of mass m= 0.28 kg is resting against the spring with force constant K= 250 N/m and…

A: Given: The mass of the object is 0.28 kg. The spring constant is 250 N/m. The compression in the…

Q: As seen in Fig. 1, a 5.00 kg mass starts from rest at the top of a frictionless incline at heighty0=…

A: Work done by gravitational force will be = mgh Work = 5 x 9.8 x 3 = 147 J  Using Work energy…

Q: Consider a 4.34 kg block that is dragged by a spring on a (relatively) frictionless horizontal…

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Q: The figure shows a track made up of two sections and located in a vertical plane. Section ab is…

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Q: An ideal spring is used to stop blocks as they slide along a table without friction. A 0.80 kg block…

A: Given: mass of the block (m) = 0.80 kg                                         speed (v) = 1.6 m/s…

Q: A weight of mass m is at rest at O when suspended from a spring, as shown. When it is pulled down…

A: The rate of change of gravitational potential energy is  smallest at A, therefore statements 1, 2…

Q: Consider a block of mass 0.270 kg attached to a spring of spring constant 160 N/m. The block is…

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Q: Question 1 k=163 N/m m=0.2kg d A A mass of m=0.2kg moves on a horizontal surface. The coefficient of…

A: Givenm =0.2 kgμk =0.1 Initial velocity =v0 =3.21 m/sFinal velocity = v' = 0.9 v0K =163 N/m

Q: Bumper car "A' , with mass 54.0 × 104 kg, coasts across a level track at 4.50 m/s when it collides…

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Q: Consider a block of mass 0.220 kg attached to a spring of spring constant 120 N/m. The block is…

A: m = 0.220 kg K = 120 N/m x1 = 11.2 cm = 0.112 m

Q: Consider a pendulum of mass “m" attached to a spring of mass "M" that is free to move in single…

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Q: A gymnast of mass 52.0 kg is jumping on a trampoline. She jumps so that her feet reach a maximum…

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Q: A spring with a spring constant of 2130 N/m is compressed 0.166 m from its equilibrium position with…

A: The conservation of energy is , 12kx2=12mv2+mgh

Q: A block of mass m = 0.37 kg is set against a spring with a spring constant of k1 = 657 N/m which has…

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Q: A block of mass 2.0 kg is attached to a horizontal spring that has a force constant of 100.0 N/m .…

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Q: ( ANSWER e,f, and g ), a is given ) You have two equal masses m1 and m2 and a spring with a…

A: Given: The mass m1 = m2 = 0.500 kg. The spring constant k = 290 N/m. You now pull the mass m2 down a…

Q: tion between the block and the plane is μk = 0.13. In the initial position, where the spring is…

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Q: A brick of mass m = 0.48 kg is set against a spring with a spring constant of k1 = 619 N/m which has…

A: Given: m =0.48 kgk1=619 N/md1=0.1mk2=244 N/mμk=0.5x=1md2=?

Q: A spring with a spring constant of k = 192 N/m is initially compressed by a block a distance d =…

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Q: The block of mass m = 1.60 kg slides along the horizontal rough plane as shown in the figure. The…

A: Given information: The mass of the block (m) = 1.60 kg The stiffness of the of the spring (k) = 30…

Q: A 120 g arrow is shot vertically from a bow whose effective spring constant is 430 N/m. If the bow…

A: Given data: Mass (m) = 120 g = 0.120 kg Spring constant (k) = 430 N/m Spring compressed by distance…

Q: Consider a pendulum of mass “m" attached to a spring of mass "M' that is free to move in single…

A: We know that the formula of the spring force is given as  F = -kx  here k is the spring constant  x…

Q: A box of mass  m = 2.20 kg  is dropped from rest onto a massless, vertical spring with spring…

A: according to the conservation of energy, Kf-Ki+Uf-Ui=0                               1

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: An inclined plane of angle e = 20.0° has a spring of force constant k = 520 N/m fastened securely at…

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Q: k=325 N/m 3 kg A 50 cm A 3 kg object is attached to a spring in a frictional horizontal plane and…

A: Given data: The mass of object is m=3 kg. The compression in spring is x=50 cm=0.5 m. The spring…

Q: A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The…

A: Solution: (1)  Maximum height attained by the box is only depends on angle of projection and initial…

Q: A 2.89 kg ball is pushed against a horizontal spring whose force constant is 1231 N/m, compressing…

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Q: A horizontal spring with stiffness 0.4 N/m has a relaxed length of 16 cm (0.16 m). A mass of 18…

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Q: A ball of mass m is launched straight upward from a spring of constant k compressed by a distance x.…

A: Given Data : The mass of the ball is given as m The spring constant of the spring is given as k The…

Q: A block of mass m = 2.5 kg is attached to a spring with spring constant k = 890 N/m. It is initially…

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Q: A 0.10 kg mass vibrates in the x-direction without friction at the end of a massless horizontal…

A: mass (m) = 0.10 kg Spring constant (k) = 10 NmMaximum displacement from equilibrium position (A) =…

Q: A 1.20 kg block slides down a frictionless incline with a slope angle of 42.0°, starting from a…

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Q: A package of mass mmm = 6.00 kgkg is released on a 53.1∘∘ incline, a distance DDD = 4.00 mm from a…

A: Solution: Given that package of mass m = 6.00 kg θ = 53.1 ° D = 4m  spring with force constant k =…

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.