A small object with mass m = 0.0900 kg moves along the +x-axis. The only force on the object is a conservative force that has the potential-energy function U(x) = -ax² + Bæ³, where a = 2.00J/m² and B = 0.300J/m³. The object is released from rest at small x. When the object is at x = 4.00 m, what are its speed (magnitude and direction)?

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 =

A conservative force F(x) acts on a 1.8 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in the figure. When the particle is at x = 2.0 m, its velocity is - 1.5 m/s. (a) What is F(x) at this position, including sign? Between what positions on the (b) left and (c) right does the particle move? (d) What is its particle's speed at x = 7.0 m? x (m) 5 10 15 -5 -10 -15 -20 (a) Number 4.7 Units Units (b) Number i -5.0 Units i 14 (c) Number Units m/s i 3.7 (d) Number (() (* )1

A particle of mass 2.3 kg moves under the influence of a force: F(x)=(−5x2+7x) N If its speed at x = 3.6 m is v = 25 m/s, what is its speed at x = −3.6 m? v2=___ m/s

A raindrop of mass 3.20 x 10-5 kg falls vertically at constant speed under the influence of gravity and air resistance. Model the drop as a particle. (a) As it falls 80 m, what is the work done on the raindrop by the gravitational force? J (b) What is the work done on the raindrop by air resistance? J

Asap plzzzx

A bowling ball of mass m = 1.2 kg is launched from a spring compressed by a distance d = 0.31 m at an angle of θ = 36° measured from the horizontal. It is observed that the ball reaches a maximum height of h = 4.6 m, measured from the initial position of the ball. Let the gravitational potential energy be zero at the initial height of the bowling ball. what is the spring constant k, in newtons per meters? k = ?

The figure shows an 8.4 kg stone at rest on a spring. The spring is compressed 12 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 30 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? k (a) Number i Units (b) Number i Units (c) Number Units (d) Number Units > > >

The figure shows an 7.9 kg stone at rest on a spring. The spring is compressed 11 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 26 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? (a) Number Units (b) Number i Units (c) Number i Units (d) Number i Units

A 3.35-kg particle is subject to a net force that varies with position as shown in the figure. The particle starts from rest at x = 0. F. (N) 3 2 1 0 I 2 4 6 8 10 12 14 16 What is its speed at the following positions? (a) x = 5.00 m (b) x = 10.0 m (c) x = 15.0 m Submit Answer m/s m/s m/s Need Help? Read It Watch It x (m)