A box with a mass of 19.5 kg is placed against a compressed spring at the bottom of a ramp that tilts up from horizontal at an angle of 35.0°. (The box is on the ramp, but at the very bottom of the ramp.) The spring's force constant is 3250 N/m and the spring is compressed by 0.225 m at the start, when the box is at the bottom of the ramp. The coefficients of kinetic and static friction are 0.185 and 0.625, respectively. How far up the ramp will the box travel before it stops, measured from its starting point at the bottom of the ramp?

A box with a mass of 19.5 kg is placed against a compressed spring at the bottom of a ramp that tilts up from horizontal at an angle of 35.0°. (The box is on the ramp, but at the very bottom of the ramp.) The spring's force constant is 3250 N/m and the spring is compressed by 0.225 m at the start, when the box is at the bottom of the ramp. The coefficients of kinetic and static friction are 0.185 and 0.625, respectively. How far up the ramp will the box travel before it stops, measured from its starting point at the bottom of the ramp?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A block of mass 0.25kg is placed on top of a light, vertical spring of force constant 5800 N/m and…

Q: Problem 7: A block of mass 5.5 kg is sitting on a frictionless ramp with a spring at the bottom that…

Q: A toy gun uses a spring to project a 5.0-g soft rubber sphere horizontally. The spring constant is…

A: Given data : Projectile's mass, Spring constant, Barrel's length, Frictional force constant,…

Q: Khufra works at a spring factory and he was assigned to test a certain spring, whose constant is 50…

Q: A spring is attached to an inclined plane as shown in the figure. A block of mass m is placed on the…

A: The work done (Wg) by the component of the gravitational force along the ramp for a distance (x+d)…

Q: A basketball player makes a jump shot. The 0.500 kg ball is released at a height of 2 m above the…

Q: When a 3.70-kg object is hung vertically on a certain light spring that obeys Hooke's law, the…

A: Given: Mass of object = 3.7 kg Spring stretches, x = 2.6 cm=2.6 X 10-2 m

Q: A spring with spring constant k = 190 N/m is suspended vertically with its upper end fixed to the…

Q: A wooden block with mass 1.85 kg is placed against a compressed spring at the bottom of a slope…

A: Part A. The distance between point A and B is d=7.55 m. So, according to the given conditions, the…

Q: A 690 gram block is released from a height h0 above the top of an ideal spring of spring constant…

A: mass of block (m) = 690 gram or m = 0.69 kg spring constant (k) = 400 N/m compression in spring (x)…

Q: A 710 g block is dropped from a altitude h above a physics spring of spring constant 400 N/m. The…

A: Given : Mass of the block, m = 710 kg Height h. Spring constant, k = 400 N/m Compression of the…

Q: A spring (k= 500 N/m) has been compressed by 15.0 cm with a mass M (450-g) at its one end. When the…

A: a)Apply the energy conservation equation when the mass is released from the spring and substitute…

Q: A spring with spring constant k = 190 N/m is suspended vertically with its upper end fixed to the…

A: Since this question have lot of subparts i answered first three parts. Please…

Q: In a horizontal spring mass system, the spring constant is 400 N/m and the mass is 10 kg. You pull…

A: Initial spring potential energy stored = (1/2)K(x)2 = (1/2) (400)(0.6)2 = 72 Joules Distance moved…

Q: A 14.1 kg pumpkin is placed on a vertical spring of negligible mass and force constant k = 2100 N/m…

A: The maximum height 0.73 m

Q: Find the spring constant, in N/m, of a vertical hanging spring if the spring stretches by 1 m when a…

A: Givenstretch, x=1mmass, m=1.02 kgwe need to find spring constant

Q: A small 0.76-kg box is launched from rest by a horizontal spring as shown in the figure below. The…

Q: 1 A cable and a spring are connected together at point B and held in equilibrium by a vertical force…

Q: To what maximum height above the point of release does it rise?

A: The maximum height attained by the block can be determined by the conservation law of energy as,…

Q: A 306 kg mass slides down a curved incline then collides with a spring. The spring constant of the…

A: Write the given values with the suitable variables. m=306 kgk=156 N/mh=104 cm=1.04 mv=33.4…

Q: A spring is attached to an inclined plane as shown in the figure. A block of mass m is placed on the…

A: Mass = m Distance = d Initial speed = v Incline angle = θ The surface is friction-less. Let the…

Q: The cable of the 1800.0-kg elevator cab in the figure below snaps when the cab is at rest at the…

A: (given) Mass of the cable of elevator cab = 1800 kg Bottom distance (d) of elevator cab = 3.70…

Q: A block of mass 0.550 kg is pushed against a horizontal spring of negligible mass until the spring…

A: We will compare the energy of block when it is at the end of compressed spring, to it's energy…

Q: You push a 2.00 kg block against a horizontal spring, compressing the spring by 15.0 cm. Then you…

A: Given Mass of block is m= 2.00 kg Compressed distance of spring is x=15.0 cm=0.15 m Spring constant…

Q: a spring has an unstretched length of 25.0 cm. When a 500g mass is hung from this spring a length of…

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

### Physics Problem: Box and Spring on an Inclined Ramp

A box with a mass of 19.5 kg is placed against a compressed spring at the bottom of a ramp that tilts up from the horizontal at an angle of 35.0°. (The box is on the ramp, but at the very bottom of the ramp.) The spring’s force constant is 3250 N/m, and the spring is compressed by 0.225 m at the start, when the box is at the bottom of the ramp. The coefficients of kinetic and static friction are 0.185 and 0.625, respectively.

**Problem Statement**: How far up the ramp will the box travel before it stops, measured from its starting point at the bottom of the ramp?

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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

A spring with spring constant k = 190 N/m is suspended vertically with its upper end fixed to the ceiling and its lower end at position y = 0. A block of weight 21 N is attached to the lower end, held still for a moment, and then released. If K = the kinetic energy, ΔUg = the change (from the initial value) in the gravitational potential energy, and ΔUe = the change in the elastic potential energy... What are (j)K, (k) ΔUg, and (l) ΔUe when y = –20 cm?
A 5 kg block is placed near the top of a frictionless ramp, which makes an angle of 30o degrees to the horizontal. A distance d = 1.3 m away from the block is an unstretched spring with k = 3 × 103 N/m. The block slides down the ramp and compresses the spring. Find the maximum compression of the spring.
A 120 g arrow is shot vertically from a bow whose effective spring constant is 430 N/m. If the bow is drawn 67.9 cm before releasing the arrow, to what height does the arrow rise?
A block of mass m = 2.00 kg situated on a rough incline at an angle of 8 = 37.0° is connected to a spring of negligible mass having a spring constant of 100 N/m (see the figure below). The pulley is frictionelss. The block is released from rest when the spring is unstretched. The block moves 10.0 cm down the incline before coming to rest. Find the coefficient of kinetic friction between block and incline. k = 100 N/m www 8 m
A block of mass 0.240 kg is placed on top of a light, vertical spring of force constant 4 975 N/m and pushed downward so that the spring is compressed by 0.107 m. After the block is released from rest, it travels upward then leaves the spring. To what maximum height above the point of release does it rise? (Round your answer to two decimal places.) 4.0 ☑ m
a 2 kg weight is fasten to a spring on an inclined plane. It has a spring constant of 20 N/m. When the spring is relaxed, the mass sits at the bottom of the incline. It is compressed 0.25 m from its relaxed position, and the weight is released. It goes down the incline, to the horizontal surface and up a second, identical incline. If there were kinetic friction between the weight and the right incline, but none between the weight and the left incline, what would be the coefficient of kinetic friction μk so the maximum height reachable is the same as the starting position (i.e. d=0.25m).
The cable of a 1170 kg elevator cab shown in the figure below snaps when the cab is at rest at a height ?=22.9m above a spring with spring constant ?=9.08×10^4N/m. Additionally a constant friction force created by the clamps sliding along the guide rails is experienced by the cab as it moves in the shaft with strength ?f=8.14×10^3N. (a) What isthe maximum distance xthe spring compresses? (b) What is the maximum acceleration experienced by the elevator during its movement described in the problem? Assume no static friction acting on the cab since we can imagine the clamps not engaging until the moment after the cab begins to fall. Also, note that the clamps stay engaged the whole time, including while the spring is being compressed and while the elevator is bouncing back up.
When a 4.00-kg object is hung vertically on a certain light spring that obeys Hooke’s law, the spring stretches 2.50 cm. If the 4.00-kg object is removed, (a) how far will the spring stretch if a 1.50-kg block is hung on it? (b) How much work must an external agent do to stretch the same spring4.00 cm from its unstretched position? Answer : (a) 472 J (b) 2.76 kN
A block with a mass 3.7 kg is sitting on a frictionless ramp with a spring at rhe bottom that has a spring constant of 540 N/m. The angle of the ramp in respect to the horizontal is 36 degrees. 1) the block starts from rest and slides down the ramp a distance of 69cm before hitting the spring. how far is the spring compressed as the block comes to momentary rest? 2) after the block comes to rest the spring pushes the block back up the ramp. how fast is the block moving right after it comes off the spring. 3) what is the change in gravitational potential energy between the original positiion of the block at the top of the ramp and the position of the block when the spring is fully compressed?
Problem 5: A block of mass 4.2 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 490 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 39⁰
A block of mass 0.245 kg is placed on top of a light, vertical spring of force constant 4 975 N/m and pushed downward so that the spring is compressed by 0.104 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? (Round your answer to two decimal places.)
A 0.220-kg block resting on a frictionless, horizontal surface is attached to a spring having force constant 83.8 N/m as in the figure below. A horizontal force F causes the spring to stretch at a distance of 5.49 cm from its equilibrium position. (a) Find the value of F. (Enter the magnitude of the force only.) N(b) What is the total energy stored in the system when the spring is stretched? J(c) Find the magnitude of the acceleration of the block immediately after the applied force is removed. m/s2(d) Find the speed of the block when it first reaches the equilibrium position. m/s(e) If the surface is not frictionless but the block still reaches the equilibrium position, how would your answer to part (d) change? The block would arrive at a greater speed. The block would arrive at a lower speed. The block would arrive at the same speed. (f) What other information would you need to know to find the actual answer to part (d) in this case?