A small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is described by the potential-energy function U(x,y)=(6.00 J/m2)x2−(3.75 J/m3)y3. What are the magnitude and direction of the acceleration of the block when it is at the point (x = 0.37 m, y = 0.64 m)?
Q: A force on an object is given by F (x) = (-4.00N / m) x + (2.00N / m ^ 3) x ^ 3. What is the change…
A:
Q: Problem 6: A toy car of mass 0.1 kg is propelled by a compressed spring that gets it moving with an…
A: given - initial velocity of car, vi= 2m/secmass of the car,m = 0.1kgheight,h= 0.18m
Q: A bungee jumper (m = 72.5 kg) stands on a bridge and looks down at the river 68.0 m below. The…
A:
Q: A glider with mass mmm = 0.240 kgkg sits on a frictionless horizontal air track, connected to a…
A:
Q: An object with a mass of 5.86kg moves along the x -axis under the influence of one force whose…
A: The vertical spacing between adjacent grid lines represents an energy difference of 2.57 J.The…
Q: A block is sent up a frictionless ramp along which an x axis extends upward. The figure gives the…
A:
Q: A block of mass 2.0 kg is attached to a horizontal spring that has a force constant of 2.40 x 103…
A:
Q: A block of mass 0.610 kg is pushed against a horizontal spring of negligible mass until the spring…
A: Given data, mass of the block, m = 0.610 kg force constant, K = 450 N/m radius of the track, R = 1…
Q: A particle that can move only along the positive x-axis is part of a system with potential energy…
A:
Q: he block shown lies on a horizontal frictionless surface, and the spring constant is 70 N/m.…
A: To determine,The position(x) of the block in meters.given,spring constant(k) =70 N/mmagnitude of…
Q: A 20-kg block on a horizontal frictional surface (coefficient of friction=0.2) is attached to a…
A:
Q: As a 1.5×104 kg k g jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it…
A: Given: Mass of the plane (m) =1.5×104 kg spring constant (k) = 5.8×104 N/m e = 28 m
Q: block of mass 3.40 kg is placed against a horizontal spring of constant k = 855 N/m and pushed so…
A:
Q: A 40.0-gram rock is attached to a horizontal spring with a force constant of 11.0 N/m. The spring is…
A: Given: The mass of the rock is 40 g. The spring constant is 11 N/m. The amplitude of the system is…
Q: A block on a horizontal spring slides along a horizontal frictionless surface. The mass of the black…
A: The mass of the block is given as .The spring constant of the block is The block is stretched a…
Q: 7.40 A 2.00-kg block is pushed against a spring with negligible mass and force constant k = 400 N/m,…
A:
Q: Multiple choice. A particle experiences a force given by F(x) = a - Bx³. Find U(x), the associated…
A:
Q: fter it has traveled a certain distance and reached a point x = 45.0 m, y=90.0 m, the helicopter's…
A: Page 1
Q: A particle moving along the x-axis is in a system with potential energy U = 11/x J, where x is in m.…
A:
Q: The mass slides across a rough patch of length 0.57 m where the coefficient of kinetic friction is…
A:
Q: 1.A the particle has a kinetic energy of 12 J; at point B the particle is momentarily at rest, and…
A:
Q: A spring with a spring constant of 2130 N/m is compressed 0.166 m from its equilibrium position with…
A: The conservation of energy is , 12kx2=12mv2+mgh
Q: A horizontal spring attached to a wall has a force constant of k = 770 N/m. A block of mass m = 1.60…
A:
Q: A single conservative force acts on a 5.7ˍkg particle. The equationFx=(2.3x+3.7)N describes the…
A: The formula to calculate the work done by the force in x- direction
Q: A block with mass m = 2.00 kg is placed against a spring on a frictionless incline with angle 0 =…
A: Given data: The mass of block is m=2.00 kg. The angle of inclination is θ=30°. The spring constant…
Q: A cart of mass 25.1 kg is initially at rest on a flat surface. You exert a force with magnitude…
A: Given that:m=25.1 kgFyc(x) = Foe-xxa Fo=200.2 Nxa=5 mθ=56.8°To determine:The speed of the cart after…
Q: A 2.00-kg block is pushed against a spring with negligible mass and spring constant k = 400 N/m,…
A:
Q: A 5.2 × 105 kg train is brought to a halt from a speed of 0.65 m/s in 0.45 m by a large spring…
A: Mass of train: M = 5.2 × 105 kgInitial velocity: u = 0.65 m/sSpring compression: x = 0.45 m
Q: A block of mass 2.80 kg is placed against a horizontal spring of constant k = 745 N/m and pushed so…
A: Potential energy stored in string U = 0.5 kx2. where k is spring constant X is distance from…
Q: A 5.8 × 105 kg train is brought to a stop from a speed of 0.85 m/s in 0.57 m by a large spring…
A: If the spring gets compressed by a distance of ‘x’ and its force constant is k, its elastic…
Q: 3 2 1 0 2 4 6 8 10 12 14 16 x (m) a. What is the particle's speed at (i) x = 5.00 m, (ii) x = 10.0…
A: Given : Mass m = 4 kg Force -displacement graph is given.
Q: If a spring compressed by 76 cm contains 2.4 J of potential energy, what is the spring constant (k)…
A: Given that, Compression (x)= 76 cm X= 0.76 m Potential Energy (P.E)= 2.4 J Let the spring constant…
Q: A mass of 10.0 kg is attached to a spring on a frictionless horizontal surface. The spring constant…
A: We know,
Q: A horizontal spring attached to a wall has a force constant of k = 830 N/m. A block of mass m = 1.40…
A: mass = 1.4 kg k = 830 N/mxi = 6.6 cm
A small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is described by the potential-energy function U(x,y)=(6.00 J/m2)x2−(3.75 J/m3)y3.
What are the magnitude and direction of the acceleration of the block when it is at the point (x = 0.37 m, y = 0.64 m)?
Solution:
Given Values,
mass(m)= 0.0400 kg
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- Blocks 1 and 2, with masses m₁ and m2, are placed on a frictionless, horizontal table with an ideal spring between then. The blocks are moved together, compressing the spring until it stores 87 J of elastic potential energy. When released from rest, the blocks move in opposite directions. Find the maximum speed of block 1 if m₁ = 7.63 kg and m2 = 4.18 kg. m/s V =During a rockslide, a 390 kg rock slides from rest down a hillside that is 460 m long and 300 m high. The coefficient of kinetic friction between the rock and the hill surface is 0.24. If the gravitational potential energy U of the rock-Earth system is set to zero at the bottom of the hill, what is the value of U just before the slide?1.15×106 J How much mechanical energy is dissipated by frictional forces during the slide? What is its speed then? What is the kinetic energy of the rock as it reaches the bottom of the hill?Consider an object of mass m = 4 kg on a frictionless table. The object experiences a repulsive force F = a/x2 + b/x, where F is in newtons and x is the position of the object relative to the origin. Write an expression for the work done by the repulsive force on the object as it moves from an initial position of x1 to a final position of x2. If the object starts at a position of x1 = 8.5 m apart, how much work, in joules, is required by an external force to bring it to a position of x2 = 2.5 m apart when a = 19 and b = 11? If the object starts at rest at a position x3 = 1.3 m and is released, at what speed v, in meters per second, will the object be moving when it is at position x4 = 12.5 m?
- A spring that has a spring constant of k = 183.0 N/m is oriented vertically, with one end on the ground. What distance y must the spring compress for an m = 2.43 kg object placed on its upper end to reach equilibrium? y = By how much AUspring does the potential energy stored in the spring increase during the compression? AUspring = JA horizontal spring attached to a wall has a force constant of k = 870 N/m. A block of mass m = 1.30 kg is attached to the spring and rests on a frictionless, horizontal surface as in the figure below. wwwwwwwwww x= x;/2 x= x; i (a) The block is pulled to a position x; = 6.20 cm from equilibrium and released. Find the potential energy stored in the spring when the block is 6.20 cm from equilibrium. J m x = 0 (b) Find the speed of the block as it passes through the equilibrium position. m/s (c) What is the speed of the block when it is at a position x;/2 = 3.10 cm? m/sThe potential energy of a system is given by: U(x,y,z)=5(J/m^2) x^2 + 7(J/m^3) xy^2 + 8(J/m^2) zy Find: The force acting on the system. Write the forces as the sum of its components. The magnitude of the force when x=1, y=0, z=2
- How far the block will compress the spring after fall back from its maximum height?2. A particle moves in one dimension and is subject to a conservative force, whose potential energy function is given by U(x), where A is a positive constant and x > 0. The total energy of the particle is given by E. What is the maximum position the particle can have, Xm? Give your answer symbolically in terms of E and A. U (x) = Ax VxA force −→F = (cx − 3.00x2)ˆi acts on a particle as the particle moves along an x axis, with −→F in newtons, x in meters,and c a constant. At x=0, the particle’s kinetic energy is 20 J; at x = 3.00 m, it is 11 J. Find c.