You have a light spring which obeys Hooke's law. This spring stretches 2.84 cm vertically when a 2.00 kg object is suspended from it. Determine the following. (a) the force constant of the spring (in N/m) N/m (b) the distance (in cm) the spring stretches if you replace the 2.00 kg object with a 1.00 kg object cm (c) the amount of work (in J) an external agent must do to stretch the spring 9.00 cm from its unstretched position J

Q: Tests on a spring showed that 1000-N of force was required to compress the spring 0.5-m. The spring…

A: Given data: The force applied is F=1000 N. The compression in spring is x=0.5 m. The mass of ball…

Q: A 3.55-kg block is sliding on a frictionless surface at 6.90 m/s toward a horizontal spring of…

A: The expression for kinetic energy is given by KE=12mv2 Substitute the given values, KE=123.55 kg6.90…

Q: A 0.532-kg object oscillates at the end of a vertical spring. As the spring stretches from 0.12 to…

A: Given:              Mass = 0.532 kg           x1= 0.12m → Vx1= 5.70ms-1           x2= 0.23m → Vx2 =…

Q: Problem 7: A block of mass 5.5 kg is sitting on a frictionless ramp with a spring at the bottom that…

A:

Q: An archer pulls her bowstring back 0.360 m by exerting a force that increases uniformly from zero to…

A: (a) The force exerting on the spring is

Q: A block of mass 0.75 kg slides on a rough horizontal tabletop. It hits a spring and compresses it…

A: The given values are, m=0.75 kgx=5.7 cm=0.057 mk=100 N/mμk=0.25

Q: ) A box of mass m= 38 kg which is sliding on a horizontal rough surface and momentarily comes to st…

A: We know that We have given that the mass of 38 kg block moving on a horizontal plane with the…

Q: A 0.280-kg block along a horizontal track has a speed of 1.70 m/s immediately before colliding with…

A: (a). using conservation of energy, the initial kinetic energy is equal to the final spring energy.…

Q: |When a 2.50-kg object is hung vertically on a cer- tain light spring described by Hooke's law, the…

A: Given data:  Mass of object (m) = 2.50 kg Spring Stretched by distance (x) = 2.76 cm

Q: Spiderman uses his spider webs to save a runaway train moving about 60 km/h. His web streches a few…

A: Write the given values with the suitable variables. u=60 km/h=60×10003600 m/sx=500 mm=104 kgv=0 m/s…

Q: You have a light spring which obeys Hooke's law. This spring stretches 3.20 cm vertically when a…

A: stretch = 3.2 cm  mass, m= 2.7 kg  Let the force constant is K.   F = m g = K y (2.7)(9.8) = K…

Q: A 2kg block compressed a spring of constant 7000N/m at the bottom of a 37 degree incline with the…

A: Consider the following diagram to understand the problem:     Here, the spring’s Mean position is…

Q: Suppose that an object of mass 6.7 g is hung from a vertical spring that is stretched 10.2 cm as a…

A: mg=kx    k=mgx

Q: When a 2.50-kg object is hung vertically on a cer- tain light spring described by Hooke's law, the…

A:

Q: Iace with d speed of 1.8 m/s when it encounters a spring. (a) Determine the force constant (in N/m)…

A: Mass "m" = 2.6 kg . initial velocity "u" = 1.8m/s .

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 = 1.50 kg is dropped from height h = 46.0 cm onto a spring of spring constant k =…

A:

Q: a) 3 m m c) 48 m b) 0.45 m d) 92 m e) 58 m 5) A spring with a spring constant of k= 50 N/m has a…

A:

Q: A block of mass 3.60 kg is placed against a horizontal spring of constant k = 825 N/m and pushed so…

A:

Q: A 4.0 kg-block attached to a 20 N/m-spring constant spring moves on a frictionless horizontal…

A:

Q: When a 4.00 Kg mass hangs on a spring, it stretches by 2.5 cm. a) If we hang a 1.5 Kg mass instead,…

A:

Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 865 N/m and pushed so…

A:

Q: A 41.0 kg box initially at rest is pushed 5.55 m along a rough, horizontal floor with a constant…

A:

Q: A block of mass m = 4.30 kg is dropped from height h = 45.0 cm onto a spring of spring constant k =…

A:

Q: A 6.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

A:

Q: A spring-loaded dart gun is used to shoot a dart straight up into the air. When fully compressed,…

A: Solution

Q: A 2.0 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it…

A: a) Initial KE of box = m v^2 / 2            = (2×(1.8)^2 )/ 2  = 3.24 J Potential energy = (kx^2)/2…

Q: A block of mass 2.60 kg is placed against a horizontal spring of constant k = 815 N/m and pushed so…

A: Given values -  Mass = m = 2.6 kg  Spring constant = k = 815 N/m Compression = x = 0.06 m

Q: A 15kg box is placed on top of a spring with a natural length of 30cm. The weight of the box…

A:

Q: A block of mass 250.0 g is placed on top of a light vertical spring of constant k = 4.80 x 10 N/m…

A: The correct option is B. When the spring its compressed by 6.6 cm (=0.066m), the potential energy…

Q: force constant

A:

Q: A pen contains a spring with a spring constant of 240 N/m. When the tip of the pen is in its…

A: Given dataThe spring constant of the spring is: k = 240 N/mThe initial compression length of the…

Q: A shopper weighs 2.00 kg of apples on a supermarket scale whose spring obeys Hooke's law and notes…

A:

Q: You push a 2.00 kg block against a horizontal spring, compressing the spring by 15.0 cm. Then you…

A: Given Mass of block is m= 2.00 kg Compressed distance of spring is x=15.0 cm=0.15 m Spring constant…

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.