A spring has a spring stiffness constant k of 80.0 N/m .     Part A How much must this spring be compressed to store 45.0 J of potential energy?

A 79 kg bike racer climbs a 1400-m-long section of road that has a slope of 4.3° Part A By how much does his gravitational potential energy change during this climb? Express your answer with the appropriate units. AU = O μÅ Value Units ?

An archery bow is drawn a distance d = 0.75 m and loaded with an arrow of mass m = 0.067 kg. The bow acts as a spring with a spring constant of k = 195 N/m, and the arrow flies with negligible air resistance. To simplify your work, let the gravitational potential energy be zero at the initial height of the arrow. a. How fast, in meters per second, will the arrow be traveling as it leaves the bow?  b.  If the arrow is shot at an angle of θ = 45° above the horizontal, how high, in meters above the initial height, will the arrow be when it reaches its peak?

(Figure 1) is the force-versus-position graph for a particle moving along the x-axis. Figure Fx (N) 4 2 0 -2 -4 1 2 3 -x (m) ▼ Part A Determine the work done on the particle during the interval 0-1 m. Express your answer with the appropriate units. Wo-1 = Units You have already submitted this answer. Enter a new answer. No credit lost. Try again. Submit Part B ΠΑ W1-2 = Submit Value Previous Answers Request Answer Determine the work done on the particle during the interval 1-2 m. Express your answer with the appropriate units. μA Value Units ? www Previous Answers Request Answer ? Units input for part B

I need help with #1

2. A spring that has spring constant k = 360 N/m is compressed by x = 9 cm. When the spring is released, all its energy is transferred to a 22 g marble ball.

A 1300 kg wrecking ball hangs from a 10-m-long cable. The ball is pulled back until the cable makes an angle of 17.0 with the vertical. ▼ Part A By how much has the gravitational potential energy of the ball changed? Express your answer with the appropriate units. AU = 0 μA Value = Units ?

You are on vacation in San Francisco and decide to take a cable car to see the city. A 5800-kg cable car goes 460 m up a hill inclined 13° above the horizontal. The system is the car and Earth. Part A Determine the change in the total energy of the system when the car moves from the bottom to the top. Ignore friction. Express your answer with the appropriate units.

need help with A-f

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) = (5.70 J/m²)x² − (3.90 J/m³)y³. Part A What is the magnitude of the acceleration of the block when it is at the point x = 0.27 m, y = 0.55 m? Express your answer with the appropriate units. a = Submit Part B Value 0 = Request Answer Units ΑΣΦ www. What is the direction of the acceleration of the block when it is at the point x = 0.27 m, y = 0.55 m? Express your answer in degrees. ? ? counterclockwise from the +x-axis