Spiderman uses his spider webs to save a runaway train moving about 17.0 m/s. His web stretches a few city blocks (500 m) before the 150,000-kg train comes to a stop. Assuming the web acts like a spring, estimate the effective spring constant. Ignore friction. (a) 13.2 N/m (b) 173 N/m (c) 294 N/m (d) 4,660 N/m

Q: 5. If you compress a spring with a spring constant of 150 N/m a distance of .1 meter, what is…

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Q: Q: A block of mass 0.50 kg is placed on top of a light vertical spring of force constant 7500 N/m…

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Q: A block attached to a horizontal spring with a spring constant k = 100 N/m is displaced to x = +6 cm…

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Q: A spring with k=5 N/m is stretched 0.1 m. A 0.2 kg object is pushing on the spring. If the object is…

A: Height of the object doesn't change so gravitational potential energy would be zero And no thermal…

Q: Problem 7: A small block of mass M = 450 g is placed on top of a larger block of mass 3M which is…

A: Given, Mass= 0.45Kg spring constant, k=2.8N/m maximum length of stretched spring= 4.5 cm =0.045m…

Q: A system contains an ideal horizontal spring, with an un-stretched length of 8 N/cm. Calculate the…

A: Write the given values with the suitable variables. x1=29 cm=0.29 mx2=32 cm=0.32 mk=8 N/cm=800 N/m…

Q: The spring is compressed a mass (m 450 g) a distance of Ax = 9.0 cm. When the mass is released from…

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Q: A 2-kg block on a rough horizontal surface is attached to spring (k = 800 N/m); the other end of the…

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Q: A 3.49-kg box placed against a horizontal spring with a force constant ofk= 228.7 N/m compresses the…

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Q: A spring of spring constant k =109.4 N/m rests on a horizontal frictionless surface. A 0.45kg…

A: Spring constant k= 109.4N/m  Mass m= 0.45kg Compression in spring x= 0.15m

Q: A 2,00-kg package is released on a 53,1° incline, 4.00 m from a long spring with force constant…

A: Given data: Mass m = 2.00 kg Angle θ=53.1° Length of the spring l =4.00m Force constant k…

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

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Q: A block whose mass is 5.7 kg slides on horizontal frictionless table top with a constant speed of 5…

A: Given values: Mass, m=5.7 kg Speed, v=5 m/s Spring constant, K=1282.5 N/m

Q: A mass m = 16 kg rests on a frictionless table and accelerated by a spring with spring constant k =…

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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 40.0-gram rock is attached to a horizontal spring with a force constant of 11.0 N/m. The spring is…

A: Given: The mass of the rock is 40 g. The spring constant is 11 N/m. The amplitude of the system is…

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 1.5 kg block is attached to a horizontal spring, with the other end attached to a wall, and the…

A: Mass of the block, m = 1.5 kg Spring constant, k = 57 N/m Maximum compression, x = 0.40 m

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

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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: The mass slides across a rough patch of length 0.57 m where the coefficient of kinetic friction is…

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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 0.600 kg block is attached to the top of a vertical spring (with spring constant 78.4 N/m) and…

A: Given values: Mass of the block, m=0.600 kg Spring constant, k=78.4 N/m

Q: As shown in the figure below, a box of mass m = 9.80 kg is sliding across a horizontal…

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

A: (given)              Mass of box = 9.20 kg              Initial speed = 2.80 kg Spring constant ( k…

Q: Mickey, a daredevil mouse of mass  0.0231 kg,  is attempting to become the world's first "mouse…

A: Given, Mass of the mouse m = 0.0231 Kg Spring force constant k = 57. 5 N/m compress distance x =…

Q: A block of mass 4.70 kg is leaning against a spring of spring constant 5.43⋅102 N/m (see figure). At…

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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: A block with mass e.50 kg is forced against a horizontal spring of negligible mass, compressing the…

A: Given: Compression of the spring  = x = 0.24 m Mass of the block = m = 0.5 kg Distance block covers…

Q: Mickey, a daredevil mouse of mass  0.0203 kg, ,  is attempting to become the world's first "mouse…

A: Data Given ,  Mass of the mouse ( m ) = 0.0203 kg  Gun's spring constant ( k ) = 62.1 N/m Stretch…

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: What is the spring constant of a spring that stores 46 J of elastic potential energy when compressed…

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Q: How high does it rise above the point of release?

A: By using the principle of conservation of energy 1/2 kx²= mgh k=5483 N/m m= 2.236kg x= 0.142m…

Q: The Potential energy stored in a car Shock Absorber which is compressed by 20 cm is 50 J. The Spring…

A: Potential energy stored in a spring is given by: PE = (1/2)*k*x^2 k = spring constant = ? PE = 50 J…

Q: A 10 kg runaway grocery cart runs into a spring with spring constant 250 N/m and compresses it by 60…

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Q: A 5 kg roller coaster is launched from Location A to reach maximum speed at Location B by the spring…

A: As the velocity of roller coaster at F is 44.3 m/s, the kinetic energy of the roller coaster at this…

Q: A spring of spring constant k = 327.6 N/m rests on a horizontal frictionless surface. A 0.45kg…

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Q: A vertically hung spring stretches 0.075 meter when a 5.0-newton block is attached to the spring…

A: The force experienced by a stretched spring is given by F = kx, where k = the spring constant of the…

Q: An object of mass 15 kg is released at point A, slides to the bottom of the 30° incline, then…

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Q: As shown in the figure below, a box of mass m = 5.80 kg is sliding across a horizontal frictionless…

A: At the moment the spring was fully compressed, the box comes to momentary at rest. At this point,…

Q: A 3 kg block is held 3 meters above the free end of a relaxed massless vertical spring. The block is…

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Q: 12. A 5.00 [kg] block is set into motion up a ramp with initial = speed of vi 8.00 [m/s]. The ramp…

A: mass of block (m) = 5 kg initial velocity (u) = 8 m/s coefficient of kinetic friction = 0.5θ = 30…

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…

Q: 900 kg safe is 1.5 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits…

A: Given: The mass of the safe is 900 kg. The height of the safe from the spring is 1.5 m. The maximum…

Q: Q: A block of mass 0.50 kg is placed on top of a light vertical spring of force constant 7500 N/m…

A: Given: M=0.5 kg k=7500 N/m compressed length, x=0.2 m g=10 m/s2

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.