A single conservative force acts on a 1.00-kg particle within a system due to its interaction with the rest of the system. The equation F = 1N + ( (2 N/m) x ) + ( (4 N/m2) x2 ) Describes the force, where Fx is in Newton’s and x is in meters. As the particle moves along the x-axis from x = 0.00 m to x = 4.00 m, calculate the following. a. The work done by this force on the particle b. What is the initial velocity at x= 0.00 m if the final velocity at x= 4.00 m is zero?

Q: Question 1 A particle with mass 0.5 kg is moving in x-y plane. Its velocity is described as a…

A: The mass of the particle m=0.5 kg The velocity as the function of time v→t=3i^-4tj^m/s The…

Q: An airplane of mass 1.50 x 104 kg is moving at 60.0 m/s.The pilot then increases the engine’s thrust…

A: Mass of the airplane = 1.50 X 104 kgInitial Speed of the airplane = 60 m/sThrust force = 7.50 X 104…

Q: A 5.00x105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

A: Given

Q: A block of mass 0.257 kg is placed on top of a light, vertical spring of force constant 4 950 N/m…

A:

Q: An object of mass 2.5 kg sliding on a horizontal frictionless surface with a speed of 4m/s collides…

A:

Q: A block of mass 11.8 kg slides from rest down a frictionless 35.6∘∘ incline and is stopped by a…

A: Since the incline is frictionless and no other non-conservative forces are acting on the system, the…

Q: In a railroad yard a 35,000 kg boxcar moving at 6.6 m/s is stopped by a spring-loaded bumper mounted…

A: When the car stops completely then all of its kinetic energy is stored as potential energy in the…

Q: A bowling ball of weight 2.00 N rests on a shelf that is 2.00 meters above the ground. Which of…

A: Consider W be the weight and h be the hight from the reference point. The formula for the…

Q: Gayle runs at a speed of 3.20 m/s and dives on a sled, initially at rest on the top of a…

A:

Q: A mass of 16kg, is moving in the x direction, experiencing only conservative forces. The plot below…

A: In the presence of conservative forces , mechanical energy ( Kinetic energy+ Potential energy)…

Q: A 2.27-kg particle is subject to a net force that varies with position as shown in the figure. The…

A:

Q: A 5.75-kg object passes through the origin attime t = 0 such that its x component of velocity is…

A: Write the given values of the problem- Mass of the object=5.75 kg x-component of velocity=5.00 m/s…

Q: A 6.32-kg object passes through the origin at time t = 0 such that its x component of velocity is…

A:

Q: .. A 45.7 kg circus acrobat drops from a height of 1.79 meters straight down onto a springboard with…

A:

Q: (7.3.10) A 2.0kg particle moves along the +x-axis, from x = 4.0m to x = 16.0m, while acted on by a…

A:

Q: A 5.52-kg object passes through the origin at time t = 0 such that its x component of velocity is…

A: (a) The formula for the resultant velocity of the object is:

Q: The potential energy associated with the net force acting on a puck of mass 0.50 kg that is moving…

A:

Q: If the four Pratt & Whitney PW4000 turbofan engines of a Boeing747-400 aircraft do 5.62 Million…

A:

Q: In a railroad yard a 35,000 kg boxcar moving at 7.2 m/s is stopped by a spring-loaded bumper mounted…

A:

Q: Vi=25 m/s V2=15 m/s Heeeeee g object moving in the horizontal plane hits a flexible spring with a of…

A: Given: The mass of the object is 300 g. The initial velocity of the object is 25 m/s in the positive…

Q: A steel cube with a mass of 3.0 Kg is released from rest and slides down a ramp with an incline of…

A: Given: The mass of the object is 3 kg. The angle of the inclination is 45o. The coefficient of…

Q: A block of mass m = 2.25 kg slides along a horizontal ww table with speed vo = 10.00 m/s. At x = 0,…

A: The mass of the block is m = 2.25 kg. The speed with which the block slides along a horizontal table…

Q: A 4.0-kg particle moving along the x-axis is acted upon by the force whose functional form appears…

A: Given: A 4.0-kg particle moving along the x-axis is acted upon by the force whose functional form…

Q: A net force along the x-axis that has x-component Fx = −12.0N + (0.300N/m2)x2 is applied to a 5.00…

A:

Q: 0.50 kg - = 1.5 m/s r= 0.95 m 2.0 m 1.9 m An engineer is working on a new roller coaster, and he…

A: Your answer is option (b)

Q: A box with mass m = 1.5 kg is sliding with a speed of 4.0 m/s on a horizontal surface. When at x =…

A: Given that: m=1.5 kgv=4 m/sf(x)=-(10+40x) Nd=?Wf=Work done by friction

Q: a 1.5 kg object is initially at rest on a frictionless, horizontal surface and subjected to a  14.9…

A:

Q: In a railroad yard, a 35,000-kg boxcar moving at 7.5 m/s is stopped by a spring-loaded…

A:

Q: An object of mass 2.5 kg sliding on a horizontal frictionless surface with a speed of 4m/s collides…

A: Given  m = 2.5 kg    v = 4 m/s  Compression (x) = 40 cm                                 = 0.4 m  At…

Q: A dart gun contains a spring of spring constant k = 17 N/m which is used to fire a dart of mass m.…

A: From the conservation of energy

Q: A block of mass 165 grams is placed on top of a light vertical spring, which is compressed by 7.25…

A: Given Mass of the block is m=165 g=165×10-3 kg Compression of the spring is ∆x=7.25 cm=7.25×10-2 m…

Q: An airplane of mass 1.50 × 104 kg is moving at 60.0 m/s. The pilot then increases the engine’s…

A: (a)   There are two forces, that are the engine’s thrust and the air’s resistive force, act on the…

Q: A single conservative force acts on a 4.80-kg particle within a system due to its interaction with…

A:

Q: Consider the motion of a 1.00 kg particle that moves with potential energy given by  U( x) = -(2.0…

A: Given that the expression of poster energy and also given the speed and position. Then We have to…

Q: A 3.09-kg particle is subject to a net force that varies with position as shown in the figure. The…

A: Given: The mass of the particle is m=3.09 kg. According to work energy theorem: Kinetic…

Q: The graph shows how the force (in units of N) acting on a 4.00 kg particle varies with position. If…

A:

Q: Assume that the force of a bow on an arrow behaves like the spring force. In aiming the arrow, an…

A:

Q: A 5.42-kg object passes through the origin at time t = 0 such that its x component of velocity is…

A: (a) Write the formula for the kinetic energy of the object at the given time.  KE=12mv2 The square…

Q: A 1.62 kg ball rolls on a frictionless horizontal surface at 4.59 m/s and collides with a stationary…

A:

Q: A 5.22-kg object passes through the origin at time t = 0 such that its x component of velocity is…

A:

Q: A 3.0 kg block slides with a speed of 2.3 m/s on a frictionless horizontal surface until it…

A: Given data: Mass of the block is, m= 3 kg The speed of the block is, v = 2.3 m/s The block…

Q: A 6.12-kg object passes through the origin at time t = 0 such that its x component of velocity is…

A:

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.