Ax mg a マー -Ax- mg Figure 8.8 (Example 8.5) (a) A block pulled to the right on a rough surface by a constant horizontal force. (b) The applied force is at an angle 0 to the horizontal.

Q: If a 2.4 kg object is initially at rest on a frictionless, horizontal surface and subjected to a…

A: The equation of motion we use to solve this is v2-u2 = 2as, where v = the final velocity u = the…

Q: A 6 kg mass slides to the right on a surface having a coefficient of friction of 0.48 as shown in…

A: given: mass, m= 6 kg coefficient of friction, μ=0.48 initial speed, v=8 m/s spring constant, k = 145…

Q: A particle of mass m is projected from point A with an initial velocity v0 perpendicular to line OA…

A: Use principle of conservation of angular momentum

Q: A 5 kg block slides on a surface with friction (mu = 0.1). If the initial KE is 50 J, how far does…

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Q: A 6 Kg block is compressed against a spring at the bottom of the inclined plane as shown in the…

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Q: An 8 kg block initially at rest is pulled to the right for 3 m with a force of 12 N over a surface.…

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Q: A ball is thrown towards a smooth floor at a 32.5 degrees angle from the horizontal. When the…

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Q: The block in the figure is moving on the horizontal frictionless surface with an initial velocity…

A: Given,  mass, m initial speed, v0=4 m/s Final speed, v=0 m/s Height, H = 1.0 m acceleration due to…

Q: A body is falling freely under the action of gravity alone in vacuum. Which of the following…

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Q: A 3.0 kg block falling from a height of 7.0 m landed on a vertical spring whose force constant is 2…

A: Given in question:  Mass of block (M) = 3.0 kg                                  Height of block (H)…

Q: A girl throws a ball at an inclined wall from a height of 3 ft, hitting the wall at A with a…

A: Consider the diagram when the ball collides with the wall.

Q: How much kinetic energy is lost in the inelastic collisions? Where does it go? Is it still in the…

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Q: In February 1955, a paratrooper fell 370 m from an airplane without being able to open his chute but…

A: Given , terminal velocity u=56 msmass m=85 kgForce F=1.2x105 N

Q: An object with mass m = 3.0 kg is released from rest from a height H = 10 m as shown in the figure.…

A: Work done by a body to move on the frictional surface from a point to another. While moving the…

Q: A 1.0 kg object has a velocity of 5.0f m/s at t = 0. A constant resultant force of (3.0f + 4.0j) N…

A: use Newton's equation of motion  v = u + a t  and F = m a

Q: A vehicle with a mass of 2754.49 kg is being tested for its engine consumption by measuring the…

A: Given data: The mass of the vehicle is m=2754.49 kg. The coefficient of kinetic friction of the…

Q: If a 1.6 kg object is initially at rest on a frictionless, horizontal surface and subjected to a…

A: Given data:  Mass (m) = 1.6 kg Initial velocity = 0 m/s Force (F) = 12.2 N Distance (d) = 3.99 m…

Q: Consider a system composed of a block sliding on an inclined plane in relation to the horizontal…

A: First we need to draw the free body diagram of the system(inclined plane + block).

Q: A box of mass m is pressed against (but is not attached to) an ideal spring of force constant k and…

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Q: A weight of mass m is at rest at O when suspended from a spring, as shown. When it is pulled down…

A: The rate of change of gravitational potential energy is  smallest at A, therefore statements 1, 2…

Q: To what height above its lowest point does the mass swing on the other side?

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Q: T4.00 m 25.0 m 12.0 m 30 m V=

A: By conservation of energy Mgh1+12Mv12=Mgh2+12Mv22 v22=g(h1-h2)+v12

Q: You and your friend Peter are putting new shingles on a roof pitched at 23 ∘ . You're sitting on the…

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Q: A 5.0-kg box rests on a horizontal surface. The coefficient of kinetic friction between the box and…

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Q: Two steel balls are suspended by vertical strings (not necessarily of the same length), so that at…

A: This problem is based on the energy conservation. If one of steel ball touches the other when it…

Q: A golf club strikes a 0.062-kg golf ball in order to launch it from the tee. For simplicity, assume…

A: Suppose a golf club hits a ball having mass m with the force F and the golf club is in contact with…

Q: A projectile of mass m is fired horizontally with an initialspeed of v0 from a height of h above a…

A: (a)The work performed by the gravitational force is equal to the change in gravitational potential…

Q: Two cubes are placed in contact on a surface, one of mass 2M and the other of mass 3M as shown in…

A: Given data:  M = 1.0 kg One mass is 2M and other is 3M Coefficient of kinetic friction (μk) = 0.25…

Q: In the figure, a runaway truck with failed brakes is moving downgrade at 109 km/h just before the…

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Q: An inclined plane of angle θhas a spring of force constant k fastened securely at the bottom so that…

A: Let x be the compression in the spring when the block is momentarily rest. From work energy theorem…

Q: Along a straight horizontal track, a roller-coaster car is moving at 25 m/s. As shown in the figure…

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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=?

Q: A particle moves in the xy plane from the origin to a point having coordinates x=7 m and y=4 m under…

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Q: A 2.2-lb slider is propelled upward at A along the fixed curved bar which lies in a vertical plane.…

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Q: A 5.0 kg mass drops vertically from a height 4.0 m on the plate on top of a spring bala whose force…

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Q: In an upright standing frictionless hollow cylinder (radius R), a Isphere (point mass m) is inserted…

A: Given, Radius of Cylinder = R mass of sphere = m Initial velocity of sphere = vo Height of Cylinder…

Q: A particle of unit mass moving in one dimension is subject to a force F(x) = -1+x. Let x(t) denote…

A: Force is a vector quantity which means it has both magnitude and direction to it. According to…

Q: An 85 kg man stands in a very strong wind moving at 14 m/s at torso height. As you know, he will…

A: a. Write the formula for the drag force acting on the man.

Q: In February 1955, a paratrooper fell 370 m from an airplane without being able to open his chute but…

A: Height (h) = 370 m Terminal speed (v) = 59 m/s Mass (m) = 67 kg Force (F) = 1.2×105 N

Q: Three objects with masses m1= 2.0 kg, m2= 4.0 kg, and m3= 6.0 kg, respectively, are attached by…

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Q: A 1.0 kg object has a velocity of 5.0f m/s at t = 0. A constant resultant force of (3.0î + 4.0j ) N…

A: Ux(x-component of initial velocity) = 5 m/s   (a)x(x-component of initial acceleration) = Fx/m = 3/1…

Q: A roller-coaster car with mass 840 kg is launched from a huge spring with k = 31 kN/m into a…

A: Use conservation of energy to find the magnitude of the velocity at the top of the loop as shown…

Q: A block of mass, m = 0.5 kg is used to compress a spring with a spring con- stant, k released and…

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Q: In the design of a spring cannon,determine the elastic spring constant, with two decimal places,…

A: using conservation of energy (1/2) mv2 = (1/2) k (x)2 1.7 * (9.3)2 = K (0.28)2 K = 1875.42 N/m

Q: The potential energy of a system of two particles separated by a distance r is given by U(r) = A/r,…

A: Given: The potential energy of a system of two particles separated by a distance r is given by U(r)…

Q: A block of mass m is initially at rest at the peak of an inclined plane, which has a height of 6.9 m…

A: Sinθ = Heightlength of inclineLength of incline = 6.9Sin(29° )L=14.23Using work energy theoremWork…

Q: Consider a flat-bed truck whose mass, including its contents, is supported equally by its four…

A: The frictional force is equal to the frictional coefficient times the normal force.  F=μfN Here, F…

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.