A wooden block with mass 1.80 kg is placed against a compressed spring at the bottom of a slope inclined at an angle of 34.0 ° (point A). When the spring is released, it projects the block up the incline. At point B, a distance of 6.00 m up the incline from A, the block is moving up the incline at a speed of 5.85 m/s and is no longer in contact with the spring. The coefficient of kinetic friction between the block and incline is uk = 0.40. The mass of the spring is negligible. Part A Calculate the amount of potential energy that was initially stored in the spring. Express your answer in joules. J U1 = Submit Request Answer

A wooden block with mass 1.80 kg is placed against a compressed spring at the bottom of a slope inclined at an angle of 34.0 ° (point A). When the spring is released, it projects the block up the incline. At point B, a distance of 6.00 m up the incline from A, the block is moving up the incline at a speed of 5.85 m/s and is no longer in contact with the spring. The coefficient of kinetic friction between the block and incline is uk = 0.40. The mass of the spring is negligible. Part A Calculate the amount of potential energy that was initially stored in the spring. Express your answer in joules. J U1 = Submit Request Answer

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter11: Energy And Its Conservation

Section: Chapter Questions

Problem 83A

See similar textbooks

Related questions

Q: Problem 7: A block of mass m 2.5 kg is attached to a spring with spring constant k = 980 N/m. It is…

Q: A block of mass 15.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a…

A: Given:Mass of the block, m = 15 kgInclination of the plane = 40 degreesSpring constant, k = 3.4 ×104…

Q: An inclined plane makes an angle of θ = 32° above the horizontal. A wooden block (m = 560 g) is…

A: Write the expression for the spring energy.Write the expression for the potential energy.

Q: A block of mass ?=3.53 kgm=3.53 kg is attached to a spring, which is resting on a horizontal…

A: The work done(W) done by a spring force(F) in pushing the block can be given as, W = 12K[(xi)2 -…

Q: A 1.20-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 .…

Q: A ball with m=0.1 kg swings from point 1 to point 3. Assuming that point 3 is 2 m above the lowest…

A: m=0.1 kgh=3 mT =10 N

Q: of k = 700 N/m. A block of mass m = 1.10 kg is attached to the spring and rests on a frictionless,…

Q: A block of mass 14.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a…

A: Consider the final point will be the datum/reference point. The vertical distance from the initial…

Q: A toy cannon uses a spring to project a 5.33-g soft rubber ball. The spring is originally compressed…

Q: A vertically mounted spring (k = 650 N/m) is compressed by 24.0 cm relative to its unstrained…

A: Given,

Q: A 3.00 kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: Step 1:Step 2

Q: A 1.30-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250…

Q: The block in the figure lies on a horizontal frictionless surface, and the spring constant is 42…

Q: A block of mass m = 2.5 kg is attached to a spring with spring constant k = 890 N/m. It is initially…

Q: A 2.0 kg breadbox on a frictionless incline of angle θ=40° is connected, by a cord that runs over a…

A: Solution: Given Values, Mass(m)= 2.0 kg Angle θ=40° Spring constant k = 133 N/kg g = 10 N/kg.…

Q: A 0.35 kg mass is held against a compressed spring with a spring constant of 89 N/m. The mass is…

A: Using the work-energy theorem, Ki+Ui+Wnc=Kf+Uf0+12kx2-μmgx=12mv2+0v=kx2m-2μgx

Q: A block of mass m = 3.5 kg is attached to a spring with spring constant k = 570 N/m. It is initially…

A: Friction force.

Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

KExam 2
Item 22
A wooden block with mass 1.80 kg is placed against a
compressed spring at the bottom of a slope inclined at an angle
of 34.0 ° (point A). When the spring is released, it projects the
block up the incline. At point B, a distance of 6.00 m up the
incline from A, the block is moving up the incline at a speed of
5.85 m/s and is no longer in contact with the spring. The
coefficient of kinetic friction between the block and incline is Hk =
0.40. The mass of the spring is negligible.
Part A
Calculate the amount of potential energy that was initially stored in the spring.
Express your answer in joules.
U1 =
J
bmit
Request Answer
Provide Feedback

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Check Your Understanding How high above the bottom of its arc is the particle in the simple pendulum above, when its speed is 0.81 m/s?
In an iconic movie scene, Forrest Gump (https://openstaxcollege.org/l/21ForrGumpvid) runs around the country. If he is running at a constant speed of 3 m/s, would it take him more or less energy to run uphill or downhill and why?
A 200-g steel ball is tied to a 2.00m “massless” string and hung from the ceiling to make a pendulum, and then, the ball is brought to a position making a 30 angle with the vertical direction and released from rest. Ignoring the effects of the air resistance, find the speed of the ball when the string (a) is vertically down, (b) makes an angle of 20 with the vertical and (c) makes an angle of 10 with the vertical.
Tarzan grabs a vine hanging vertically from a tall tree when he is running at 9.0 m/s. (a) How high can he swing upward? (b) Does the length of the vine affect this height?
A certain automobile engine delivers 2.24 104 W (30.0 hp) to its wheels when moving at a constant speed of 27.0 m/s ( 60 mi/h). What is the resistive force acting on the automobile at that speed?
A block of mass 0.250 kg is placed on top of a light, vertical spring of force constant 5 000 N/m and pushed downward so that the spring is compressed by 0.100 m. After the block is released from rest, it travels upward and then leaves the spring. To what maximum height above the point of release does it rise?
Assume that the force of a bow on an arrow behaves like the spring force. In aiming the arrow, an archer pulls the bow back 50 cm and holds it in position with a force of 150 N. If the mass of the arrow is 50 g and the “spring” is massless, what is the speed of the arrow immediately after it leaves the bow?
Consider a block of mass 0.200 kg attached to a spring of spring constant 100 N/m. The block is placed on a frictionless table, and the other end of the spring is attached to the wall so that the spring is level with the table. The block is then pushed in so that the spring is compressed by 10.0 cm. Find the speed of the block as it crosses (a) the point when the spring is not stretched, (b) 5.00 cm to the left of point in (a), and (c) 5.00 cm to the right of point in (a).
Check Your Understanding Find x(t) for the mass-spring system in Example 8.11 ii the particle starts from x0=0 at t=0. what is the particle’s initial velocity?
A block of mass 0.500 kg is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x (Fig. P7.79). The force constant of the spring is 450 N/m. When it is released, the block travels along a frictionless, horizontal surface to point , the bottom of a vertical circular track of radius R = 1.00 m, and continues to move up the track. The blocks speed at the bottom of the track is = 12.0 m/s, and the block experiences an average friction force of 7.00 N while sliding up the track. (a) What is x? (b) If the block were to reach the top of the track, what would be its speed at that point? (c) Does the block actually reach the top of the track, or does it fall off before reaching the top?
An electric scooter has a battery capable of supplying 120 Wh of energy. If friction forces and other losses account for 60.0% of the energy usage, what altitude change can a rider achieve when driving in hilly ter-rain if the rider and scooter have a combined weight of 890 N?
Consider a particle on which a force acts that depends on the position of the particle. This force is given by . Find the work done by this force when the particle moves from the origin to a point 5 meters to the right on the x-axis.