A block of mass 4.0 kg is attached to the top end of a vertical spring. The spring is compressed, and the block is released. Shortly later, the block is found to be traveling upward at a speed of 1.50 m/s at a point in time when the spring is compressed from its natural, relaxed length by 15.0 cm. The block finally comes to rest when the spring is stretched by 10.0 cm from its natural length. (a) Find the spring constant. (b) Find the speed of the block at a point in time when the spring is its natural, relaxed length.

Q: 20.0° has a spring of force constant k = 480 N/m fastened securely at the bottom so that the spring…

A: Let m be the mass of the block, d be the distance between the uncompressed spring and block, v be…

Q: 12. A vertically mounted spring (k = 750 N/m) is compressed by 30.0 cm relative to its unstrained…

A: Spring constant = 750N/m Initially compression in spring =30cm Given mass =0.24kg Height =10.76m

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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…

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A: GIven data The spring constant is given as k = 94 N/m. The rest length is given as l = 27.2 cm. The…

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Q: An m = 20.0 g object is held against the free end of a spring d, of constant k = 25.0 N/m that is…

A:

Q: A simple pendulum, 2.0 m in length, is released by a push when the support string is at an angle of…

A:

Q: As shown in the figure below, a box of mass m = 7.00 kg is sliding across a horizontal frictionless…

A: By the conservation of energy, the total kinetic energy (K.E) gained by the block will be converted…

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Q: A 0.25-kg block along a horizontal track has a speed of 1.5 m/s immediately before colliding with a…

A:

Q: A block of mass m = 0.32 kg is set against a spring with a spring constant of k1 = 681 N/m which has…

A: Using the conservation of energy, 12k1d12-μkmgx=12k2d22

Q: An inclined plane of angle e=20° has a spring of force constant k=500 N/m fastened securely at the…

A:

Q: A block of mass (m=2.00kg) is attached to a spring of force constant k=4.05x10^2 N/m that lies on a…

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Q: A 1.2 kg block is held at rest against a spring with a force constant k = 750 N/m. Initially, the…

A:

Q: A spring with a constant of 730 N/m is compressed by a block of mass m = 1.2 kg. When the block is…

A: m = 1.2 kg k = 730 N/m L = 0.05 m coefficient of kinetic friction = 0.44 v = 2.3 m/s Using equation…

Q: A block of mass 1.6 kg is held against a horizontal spring so that the spring is compressed 17 cm.…

A: The normal reaction acting on the block is: Therefore, the frictional force acting on the block is:…

Q: A horizontal spring-mass system has low friction, spring stiffness 220 N/m, and mass 0.4 kg. The…

A: The stretch in the spring will be maximum when the velocity of the mass will be zero. Therefore, at…

Q: A 1.68 kg block is held in place against the spring by a 39 NN horizontal external force. The…

A: Since the surface up to B is frictionless till the point B block moves with a velocity 2.1 m/s.Then…

Q: A pendulum consists of a 2 kg bob attached to a light string of length 6.0 m.  The bob is struck…

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Q: A 0.500-kg cart connected to a light spring for which the force constant is 23.5 N/m oscillates on a…

A:

Q: To what maximum height above the point of release does it rise?

A: The maximum height attained by the block can be determined by the conservation law of energy as,…

Q: A small block of mass M = 150 g is placed on top of a larger block of mass 3M which is placed on a…

A:

Q: An m = 20.0 g object is held against the free end of a spring of constant k = 25.0 N/m that is…

A: Frictional force is given by the formula f=μN, where μ is coefficient of friction and N is normal…

Q: A system contains an ideal horizontal spring, with an un-stretched length of 29 cm and a spring…

A: The work done to stretch the spring is equal to elastic potential energy, which is dependent on the…

Q: A block of mass 0.250 kg is placed on top of a light vertical spring of force constant 5 000 N/m and…

A: Using law of conservation of energy, the expression for find maximum height is…

Q: Consider an object of mass 0.150kg that is attached to a horizontal spring of spring constant 35.2…

A:

Q: As shown in the figure below, a box of mass m = 6.00 kg is sliding across a horizontal frictionless…

A: mass , m = 6 kg Initial speed , Vi = 3.2 m/s Spring constant , k = 2800 N/m To find = Spring…

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

A:

Q: A simple pendulum is suspended from the ceiling by means of a string and has a length of 1.56 m…

A: Given Data:- Length of the pendulum is l=1.56 m Initial speed of the pendulum is v0=1.73 m/s…

Q: Mickey, a daredevil mouse of mass 0.0227 kg, is attempting to become the world's first "mouse…

A: Given that:Mass of the mouse: m=0.0227 kgForce constant, k=75.5 N/mCompression of spring, x=0.131…

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: An m = 20.0 g object is held against the free end of a d, spring of constant k = 25.0 N/m that is…

A: Given data The mass of the object is: m = 20 g The value of the spring constant is:  k = 25 N/m The…

Q: A block of mass m = 6.23 kg is attached to a spring that is resting on a horizontal, frictionless…

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Q: A block with a mass of 30.0 kilograms (kg) is held against a spring with a force constant of k =…

A: Work energy theorem states that the work done on a particle by the resultant force is equal to the…

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

A: We solve this problem using conservation of energy

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

A:

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: Mickey, a daredevil mouse of mass 0.0221 kg, is attempting to become the world's first "mouse…

A: Given: The mass of mouse m = 0.0221 kg. The force constant of spring k = 86.3 N/m compression of…

Q: A 0.35 kg mass is held against a compressed spring with a spring constant of 89 N/m. The mass is…

A: Using the work-energy theorem, Ki+Ui+Wnc=Kf+Uf0+12kx2-μmgx=12mv2+0v=kx2m-2μgx

Q: ong spring with spring constant 224 N/m has a mass 1.4 kg attached to it, and it can oscillate on a…

A: Given Length of spring, L=50 cm=0.5 mspring constant, k=224 N/mMass attached, m=1.4 kgspring is…

Q: The return constant of a spring is 300 N/m. Over what length should it be stretched to store 80J of…

A: Given data:  Spring constant (k) = 300 N/m Potential Energy (U) = 80 J Required: Length stretched…