In a car’s suspension system, each wheel is connected to a vertical spring; these springs absorb shocks when the car travels on bumpy roads. In one car, each spring has a spring constant of 5.0 x 104 N/m. If this 1400 kg car is driven at 25 m/s through the bottom of a circular dip in the road that has a radius of 600 m, by how much do these springs compress compared to when the car is driven on a flat road?

Q: A ride at an amusement park attaches people to a bungee cord, pulls them straight down to the…

A: Given data: Spring stiffness constant is, k=35 N/m. Height beyond the unloaded length is, h=100 m.…

Q: SuTTposa the inclime is frictionles for the system described in the gven figure. The block is…

A: From the question it is given  that: Spring constant of spring = k = 100 N/m Angle of inclination  =…

Q: Under some circumstances when two parallel springs, with constants k1 and k2, support a single mass,…

A: Given data :  Weighting W = 20 lb  Spring elongation  x1  = 8 inches  x2 = 6 inches  Downward…

Q: In your setup, you use two different springs with spring constant k₁ = 6.3 N/m and k₂ = 2.5 N/m.…

A: Effective spring constant,  k = k1 + k2  Where, k1 = 6.3 N/m and k2 = 2.5 N/m => k = (6.3 + 2.5)…

Q: At the grocery store you can weight out how much fruit you want to buy. I put four pears on the…

A: Weight, w=3.5 kgspring constant, k=3901.7 N/mas by hookes's law : |F|=kx

Q: Consider a spring with a spring constant of 180 N/m hanging vertically from the ceiling. If a 8 kg…

A: Given, the spring constant of the spring, k= 180 N/m Mass attached, m= 8 kg

Q: A spring (k888 N/m) is hanging from the ceiling of an elevator, and a 7.1 kg object is attached to…

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Q: A front-loading washing machine is mounted on a thick rubber pad that acts like a spring; the weight…

A: Weight of the washing machine External force Gravitational acceleration Depressed length

Q: At what angle does the tension in the 0.6 m long pendulum cord become zero if the 1.0 kg pendulum…

A: Length of string(l)= 0.6 m Speed at lowest point(v) = 5 m/s2 Mass(m) = 1 kg

Q: A simple pendulum consists of a weight with mass 5.5 kg suspended from a 0.4 m long wire. The weight…

A: Given:   A simple pendulum consists of a weight with mass 5.5 kg .   m = 5.5 kg l = 0.4 m theta = 50…

Q: Suppose a girl gets a 0.25 m length of string where she attaches one end to the ceiling and the…

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Q: mm mm 30 40 60 W 110 N 240 N A spring with a pointer attached is hanging next to a scale marked in…

A: The expression for force applied on the spring due to the load is,F=k∆xwhere, ∆x is the extension in…

Q: *9. ssm In 0.750 s, a 7.00-kg block is pulled through a distance of 4.00 m on a frictionless…

A: Given data: TIme, t = 0.750 s Mass, m = 7 kg Distance, d = 4 m Spring constant, k = 415 N/m

Q: 25. A spring with spring constant of 840 N/m is attached on the left side to a wall and to the right…

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Q: 5. ssm A person who weighs 670 N steps onto a spring scale in the bathroom, and the spring…

A: 5. The value of spring constant can be calculated from force applied to the spring and the…

Q: 5. A mass m = 10 kg starts to slide from a height of 3m down a rough incline 5 m long. The…

A: Free body diagram along the ramp:Let the distance travelled along the ramp be d, so the work done…

Q: A block with mass m1 = 8.7 kg is on an incline with an angle θ = 37° with respect to the horizontal.…

A: See below

Q: A spring 0.2 m long extends 0.001 m when a mass of 72 kg is hung from it.  How far will a similar…

A: GivenFor spring 1length of spring ,L1=0.2 mMass hung with spring ,m1=72 kgSpring extend to length…

Q: A spring (k=856 N/m) is hanging from the ceiling of en elevator, and a 6.3- the spring stretch…

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Q: A mass m = 6.6 kg hangs on the end of a massless rope L = 2.04 m long. The pendulum is held…

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Q: A 9 kg block is attached to a spring with a spring constant of 5 N/m. While the block is sitting at…

A: Solution: The moment at which the student hits the block with the hammer, the kinetic energy of the…

Q: Two springs are connected each other and suspended vertically. To the bottom one, a body of mass .2…

A: The force due to the mass  m=0.2 kg , which is the weight ,FG=mg will extend the spring system ,…

Q: *8-12. The coefficients of static and kinetic friction between the drum and brake bar are , = 0.4…

A: Answer the following question is

Q: The surface the object slides on is frictionless aside from a L-long patch. A second spring with…

A: In the given question, Mass of object  = m Force constant of left spring = k1 Force constant of…

Q: A C T2 T1 di 'd2 m You want to create the art installation in figure C, in which a block of mass…

A: In this case, a restoring force tends to bring the object back to its mean position. The spring…

Q: Consider a system of two toy railway cars (i.e., frictionless masses) connected to each other by two…

A: Given Mass m1                 = 4 kg Mass m2                 = 2 kg Spring constant k1 = 32 N/m…

Q: The system is released from rest with the spring initially stretched 4.5 in. Calculate the velocity…

A: Given that, k=6.5 lb/in Spring initially stretched, x1=4.5in It has dropped, 1.5 in. and, Mass m=118…

Q: a 5 kg mass hangs from the ceiling on a rope. when the mass is released from an angle of 5 degrees…

A: Period, T= 3.2 s Mass, m =5 kg Angle = 5o

Q: 4. Springs AB and CD have a stiffness ofk = 300 N/m and k' = 200 N/m, respectively, and both springs…

A: Given: Stiffness of AB, k = 300 N/m Stiffness of CD, k' = 200 N/m Length of both spring = 600 mm

Q: A metal spring slides over the edge of a table, as shown. Ignoring friction, which answer best…

A: Given data: Metal spring slides over the edge of tabel The friction force is negligible

Q: A child’s toy consists of plastic attached to a spring. The spring is compressed against the floor…

A:

Q: Review.A light spring has unstressed length 15.5 cm.It is described by Hooke's law with spring…

A: Solution:   Given that, a) Let the extension be x m,Then the radius of the circle that the puck…

Q: You have an apple that you would like to weigh, but you don’t have a scale. You do have a slinky and…

A:

Q: A 0.55 kg block attached to a spring with force constant 140 N/m is free to move on a frictionless,…

A: mass of block (m) = 0.55 kg force constant (k) = 140 N/mInitial stretch of spring (A) = 0.13 m

Q: 11. A 0.37 kg ball is suspended from a vertical spring with spring constant of 100.0 N/m. What is…

A: The ball of mass 0.37 kg is suspended vertically from a spring of spring constant 100 N/m m=0.37…

Q: Cylinder, Spring, and Block on Ramp You pull on a string with a horizontal force of magnitude F = 40…

A: Given that the value of mass and spring constant and force and radius. Then We have to determine the…

Q: One end of a light spring with spring constant k, = 1,200 N/m is attached to the ceiling. A second…

A: Given spring constant k1=1200N/m k2= 1600N/m and mass m= 1.5kg We have to find spring stretch,…

Q: Babe Ruth hits a baseball 1 meter above the ground at a 20 degree angle above the horizon. He hits…

A: The curved path through which the projectile travels is known as trajectory and the time in which…

Q: A typical mattress has a network of springs that provide support. If you sit on a mattress, the…

A:

Q: A huge pendulum consists of a 200-kg ball at the end of a cable 15 m long. If the pendulum is drawn…

A:

Q: Two springs are attached side by side to a box of mass M as shown in the figure. The springs have…

A: The objective of the question is to find an expression for the period of motion of a box attached to…

Q: A passenger railroad car has a total of 8 wheels. Springs on each wheel compress—slightly—when the…

A:

Q: A simple pendulum is made from a 0.666-m-long string and a small ball attached to its free end.…

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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.