Mickey, a daredevil mouse of mass M, is attempting to become the world's first "mouse cannonball." He is loaded into a spring- powered gun pointing up at some angle, and is shot into the air. The gun's spring has force constant k and is initially compressed a distance X from its relaxed position. If Mickey has a constant horizontal speed V while he is flying through the air, how high above his initial location in the gun does Mickey soar? Find an expression for Mickey's maximum height hm in terms of M, V, X, kị and g. hm =

Q: A 2 kg block is launched up a frictionless inclined plane by a spring as shown in the figure. The…

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Q: small body of mass m resting on a smooth horizontal plane is attached by threads to a point P (see…

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Q: A ball is held at rest at some height above a horizontal surface.  Once the ball is released at time…

A: In this question we are given that a ball is held at rest at some height above a horizontal surface.…

Q: A spring-loaded pellet gun is designed to fire 3.20 g projectiles horizontally at a speed of 42.8…

A: The given data are: m=3.20 g=3.20×10-3 kgv=42.8 m/sx=8.60 cm=8.60×10-2 m

Q: A spring with a spring constant of 335 N/m is initially compressed by a distance of 0.045 m from its…

A: Given data: k = 335 N/m x= 0.045 m m=0.045 kg Need to determine the speed of the block.

Q: 75 SSM To form a pendulum, a 0.092 kg ball is attached to one end of a rod of length 0.62 m and…

A: Given that: Mass of the ball,  m=0.092 kgLength of the rod, L=0.62 mMass of the rod, M=0…

Q: given by u = 0.400. How far has the spring compressed by the time the block first momentarily comes…

A: Here some of the initial kinetic energy changes into potential energy of spring and some will…

Q: A 34 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

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Q: A block of mass ? = 5.0 kg is connected to one end of a horizontal spring of k = 400 N/m on a rough…

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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: A bullet with mass 4.59 g is fired horizontally into a 1.966-kg block attached to a horizontal…

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Q: 1 m 0.6 m path of the block smooth surface rough surface Hs = 0.35 %3D Hik = 0.25 1.5 m 1.5 m A

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Q: A 0.75 kg block is held at rest against a spring with a force constant k=730 N/m. The spring is…

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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…

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

A: Given data The mass of the mouse is m = 0.0231 kg. The force constant of the spring is k = 62.7 N/m.…

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 0.200-kg block along a horizontal track has a speed of 1.60 m/s immediately before colliding with…

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

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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…

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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=?

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Q: A 2.50-kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: Using work-energy theorem Kf+Uf-Wnc=Ki+Ui0+0+μkmgd=0+12kx2d=kx22μkmg

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Q: Mickey, a daredevil mouse of mass 21.3 g, is attempting to become the world's first "mouse…

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

A: Hint:  As non conservative forces are absent so we can conserve energy. spring energy at bottom=…

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.