A simple pendulum consists of a particle of mass m on an inextensible massless string of length l. The kinetic energy of the system in Cartesian coordinates is given by

Q: The drawing shows a top view of a frictionless horizontal surface, where there are two springs with…

A:

Q: A 2.00-kg pendulum ball is attached to a light-uniform cable of length 1.20 m that is hanging from…

A: Given Information:- Mass of the pendulum ball is  mP=2.00 kg. Length of the cable is l=1.20 m. The…

Q: A ball of mass 0.30 kg is fired with velocity 120 m/s into the barrel of a spring gun of mass 1.8 kg…

A: Apply the conservation of momentum. 0.3*120 = (0.3+1.8)*vv= 17.14 m/s

Q: x Initially h is 268mm, Mass = 11 kg, k= 242 N/m and has unstretched length= 135 mm. Find the…

A:

Q: A spring with a spring constant of 301 N/m is initially compressed by a distance of 0.065 m from its…

A:

Q: A mass of 0.83 kg is initially traveling at 6.1 m/s across a horizontal, frictionless surface. It…

A: Since the mass comes to rest, the final kinetic energy of the mass is zero. Apply conservation of…

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: A disk (MR2) of mass M =4.4 kg is on a surface as shown below. It is attached to a wall by a spring…

A: The conservation of energy principle states that in an isolated system, the sum of kinetic energy…

Q: A mass of m = 10 kg starts on a frictionless plane. The mass starts at rest, pressed against a…

A:

Q: The drawing shows a top view of a frictionless horizontal surface, where there are two springs with…

A: Given data: The spring constant, k=150 N/m. a). The mass, m1=m2=2.0 kg b). The mass,m1=2.0 kg and…

Q: In the figure, a block of mass m = 3.30 kg slides from rest a distance d down a frictionless incline…

A: Mass (m) = 3.3kg   θ = 35.0 ˚ ( Angle of inclination)   Spring constant (k)= 450N/m  Compression (x)…

Q: A spring-mass system has a spring with spring constant k=65.0 N/m and a 800.0 gram mass on the end…

A:

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

A: Mass m = 6 kg Coefficient of friction μ = 0.48 Initial speed v= 8 m/s spring constant k = 145 N/m…

Q: A mass m=4.5kg is connected to a spring. The force constant of the spring is k = 2.1N m. Another…

A:

Q: A pendulum is made by tying a 520 gg ball to a 45.0 cmcm -long string. The pendulum is pulled 21.0…

A: Given quantities: mass of the ball (m) = 520 grams length of the string (L) = 45 cm angle made by…

Q: A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is…

A: Given:mass of ball, m1=1.5 kglength of wire, l=1.34 macceleration g=9.8 ms2in this question,we will…

Q: A simple pendulum is formed of a bob of mass m attached to a string of ler The bob is displaced from…

A: At mean position particle will have maximum velocity that is Aw. (w = omega=angular velocity)

Q: If the kinetic energy of a system is given by equation K = -m(x² + ż?) in the Cartesian coordinates.…

A: Given: The kinetic energy of a system in cartesian coordinate is given by,            K=12mx˙2+z˙2…

Q: A 12N object is attached by a string to a frictionless car that runs along a level track. The car…

A: Note: As per the guidelines, we can only answer three subparts of a question. Sorry for the…

Q: A simple pendulum consists of a particle of mass m on an inextensible massless string of length &.…

A: First we have to find the Lagrangian of the function

Q: Consider a block of mass 0.220 kg attached to a spring of spring constant 120 N/m. The block is…

A: m = 0.220 kg K = 120 N/m x1 = 11.2 cm = 0.112 m

Q: A 2.00-kg pendulum ball is attached to a light-uniform cable of length 1.20 m that is hanging from…

A: Mass of pendulum, m1=2.00 kgAngle with the vertical, θ=50.0°Length of cable, L=1.20 mMass of block,…

Q: A body of mass 10 kg at rest is acted upon simultaneously by two forces 4 N and 3 N at right angles…

A:

Q: A spring of natural length 30 cm is attached to the floor directly below an identical spring that is…

A:

Q: A simple pendulum is formed of a bob of mass m attached to a string of length L. The bob is…

A:

Q: A spring with a spring constant of 303 N/m is initially compressed by a distance of 0.056 m from its…

A:

Q: a sled of length 10L, mass 2M, and uniform mass density rests on level, snow covered ground (the…

A: Given: Length of sled= 10L Mass= 2M Spring constant= k Distance between sled and mass = 2L

Q: A pitcher bestows a power of P = 206 W to a baseball of mass m = 0.095 kg for a period of t = 0.28…

A:

Q: A point-like mass m is constrained to move along the z-axis only. It is attached to two springs,…

A:

Q: The 100 N box in the figure slides on the surface with a kinetic friction coefficient of μk = 0.3.…

A: Given data: The weight of box is W=100 N. Kinetic friction coefficient is μk=0.3. Weight of plate…

Q: A body of mass 10 kg at rest is acted upon simultaneously by two forces 4 N and 3 N at right angles…

A: F1 = 4 N F2 = 3 N F1 and F2 are at right angle to each other.  Mass of body M = 10 kg Time t = 10 s…

Q: The figure below shows a vertical, massless spring which is attached to the ground at one end. A…

A: Given:-  Vertical distance h=5 cm =0.05 m  velocity v = 0.7 m/s  mass of the sphere m= 3 kg Find:-…

Q: In this question you will use an energy approach to determine how the mass of a spring affects its…

A: Note: as per the policy, only the first three subparts of the question will be solved. If you want…

Q: A spring with a fixed spring of K=200 (N/m) was attached to an object of M=8 (kg), which is stagnant…

A: mass of object on which the spring is attached (M) = 8 kg mass which compresses the spring (m) = 2…

Q: A 0.150kg bullet is initially at rest 1.50m above the earth in a rifle which is aimed horizontally…

A: GIVEN             mass of bullet=m= 0.150 kg            height above earth = h = 1.5 m…

Q: Let's say we have a spring with a constant of K= 300 N/m and this spring is attached to the incline…

A: Spring constant (k) = 300 Nm θ = 44od = 1.3 m m = 1 kg

Q: An ideal spring is attached to the ceiling. While the spring is held at its relaxed length, a wooden…

A: