Use the worked example above to help you solve this problem. A 15,000 N car starts from rest and rolls down a hill from a height of 10.0 m (see figure). It then moves across a level surface and collides with a light spring-loaded guardrail. (a) Neglecting any losses due to friction, and ignoring the rotational kinetic energy of the wheels, find the maximum distance the spring is compressed. Assume a spring constant of 1.4 x 10° N/m. m (b) Calculate the magnitude of the maximum acceleration of the car after contact with the spring, assuming no frictional losses. m/s? (c) If the spring is compressed by only 0.30 m, find the change in the mechanical energy due to friction.

Q: A cubic block with mass m = 10 kg is released from rest at point A as shown in Figure 4.…

A:

Q: A 3.0 kg block slides on a horizontal rough surface toward a spring with k = 500 N/m. O coefficient…

A:

Q: You have been hired to design a spring-launched roller coaster that will carry two passengers per…

A:

Q: Problem 10: The restoring force in a Hooke's Law spring is a conservative force, and hence, the work…

A: (C) Total energy of mass E= 8 joule Equilibrium position of mass is at x=18 CM At x=14cm & 22 cm…

Q: A 0.281-kg block resting on a frictionless, horizontal surface is attached to a spring having force…

A:

Q: A 388 g mass is hung on the spring assembly shown below. The mass stretches the springs to…

A:

Q: Refer to the figue below. (WEP ITEM 1) A block whose mass 10 kg is released from rest from a height…

A: GivenMass of block is m=10 kgAcceleration due to gravity is g=9.80 m/s2Height is h=6 m Length, d=5 m…

Q: A block whose mass 12 kg is released from rest from a height of 4. The quadrant portion is smooth…

A: m=12kgh=4ms=6mx=0.4mk=3982 N/m

Q: A wooden block with mass 1.85 kg is placed against a compressed spring at the bottom of a slope…

A: Part A. The distance between point A and B is d=7.55 m. So, according to the given conditions, the…

Q: A 10.0-kg block is released from rest at point in the figure below. The track is frictionless except…

A: coefficient of kinetic friction is 0.38Explanation:Hence, coefficient of kinetic friction is 0.38…

Q: Problem #1: A block of mass M-3kg slides down an incline of angle = 30°, at the bottom of the…

A:

Q: A cable and a spring are connected together at point B and held in equilibrium by a vertical force…

A:

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

A:

Q: A 2.5-kg block moving at 2. 0 m/s collides with a spring whose spring constant is 390 N/m, as shown…

A: a. according to the conservation of energy, for the given case, 12mvi2+mgh=12kΔx2

Q: A block of mass 1 kg at height 0.25 meters is held in place against a spring of spring constant k =…

A:

Q: In a horizontal spring mass system, the spring constant is 400 N/m and the mass is 10 kg. You pull…

A: Initial spring potential energy stored = (1/2)K(x)2 = (1/2) (400)(0.6)2 = 72 Joules Distance moved…

Q: ionary at position x = 0. Then an applied force with a constant magnitude of 2.8 N pulls the block…

A:

Q: The pendulum has a mass of 1 kg and in figure (a) it is moved to a maximum vertical position of 1.8…

A: Given: Mass of pendulum = 1kg Highest position =1.8 m Half height = 0.9 m acceleration due to…

Q: This, the length of the pendulum is 1.24 m. Now you start with the pendulum at 11.4 degrees with…

A:

Q: We will now determine how the 1/3 rule comes about. Consider a spring of mass ms which is attached…

A: Given,

Q: The 54-lb block rests on the rough surface for which the coefficient of kinetic friction is 14k =…

A:

Q: A 306g mass slides down a curved incline then collides with a spring. The spring constant of the…

A: Mass (m)=306 g Spring Constant (k)=156 N/m Height (h)=1.04 cm Speed(v)=33.4 cm/s

Q: A 500-g block is released from rest and slides down a frictionless track that begins 1.90 m above…

A: Given data: Mass of the block is, m = 500 g = 0.5 kg Height of the block from horizontal is, h =…

Q: A mathematical pendulum of mass 1.0 kg and length 1.0 m is moved by an angle 60° from the vertical…

A: The energy possessed by an object in motion with a velocity v is known as the kinetic energy and is…

Q: The 3.8 kg box shown below slides down the ramp from a height of 2.4 m, and strikes the spring.…

A: mass = 3.8 kg h = 2.4 m k = 4.7 N/m

Q: If we assume that all of the energy stored in the trampoline goes into his motion, how high above…

A: Mass m = 72 kgLowest point of his motion, distance d = 0.80 mHigh above this lowest point h =?

Q: As shown in the diagram above, a simple pendulum of length 2.5 meters is composed with a string with…

A:

Q: A spring is attached to an inclined plane as shown in the figure. A block of mass m is placed on the…

A: Mass = m Distance = d Initial speed = v Incline angle = θ The surface is friction-less.  Let the…

Q: If a 4-kg block is placed against the spring and the spring is released, what will be the speed of…

A: GIVEN: Mass of block =4 kg For the spring  Work done =12kx2 where k is spring constant            x…

Q: = 6. A horizontal spring has negligible mass, spring constant k 250 N/m, and is fixed at one of its…

A: As per given data, Spring constant(k) = 250N/m mass(m) = 2.5kg distance compressed (x) = 0.250m…

Q: A bungee jumper with a mass of 77.5 kg is standing on a platform 65.1 m above a lake. The length of…

A: Periodic motion is a type of motion that keeps repeating after a finite amount of time. SImple…

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

A: given data as per question mass of box m = 9.8kg initial velocity v = 3.70m/s

Q: The 5.00 kg object shown below is released from rest at a height of 7.0 m on a curved frictionless…

A: Given,  m=5 kg h=7 m k= 500 N/m g= 9.8 m/s²

Q: A 5 kg object is pressed against the spring which has an undeformed length of 0.5 m (spring…

A:

Q: (8c7p50) A 0.45 kg mass sliding on a horizontal frictionless surface is attached to one end of a…

A: spring constant (k) = 725 Nmkinetic energy of mass as it passes through equilibrium position = 12.0…

Q: Lume The mass of the block depicted in the image is 1.60 kg. The spring has a spring constant of…

A:

Q: The small 0.25-kg slider is known to move from position A to position B along the vertical-plane…

A:

Q: A 0.293-kg block resting on a frictionless, horizontal surface is attached to a spring having force…

A: Since we only answer up to 3 subparts so we will answer the first 3. Please resubmit the another…

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.