m_1 = 2.2 kg block slides on a frictionless = horizontal surface and is connected on one side to a spring ( k = 40 N/m) as shown. The other side is connected to the block m2 3.9 kg that hangs vertically. The system starts from rest with the spring unextended. k www m m₁ a) What is the maximum extension of the spring? x max m/s m₂ b) What is the speed of block m2 when the extension is 65 cm?

m_1 = 2.2 kg block slides on a frictionless = horizontal surface and is connected on one side to a spring ( k = 40 N/m) as shown. The other side is connected to the block m2 3.9 kg that hangs vertically. The system starts from rest with the spring unextended. k www m m₁ a) What is the maximum extension of the spring? x max m/s m₂ b) What is the speed of block m2 when the extension is 65 cm?

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: The length of the Achilles tendon increases 0.500 cm when the force exerted on it by the muscle…

Q: A 5.0 kg box is attached to one end of a spring with k = 80 N/m. The other end of the spring is…

A: A free body diagram for the given problem is shown above

Q: -kx³. The work required to stretch the 0 to the stretched length x = l is Wo. In terms of A "stiff"…

Q: A 1272.0 g mass is on a horizontal surface with uk and is in contact with a massless spring with a…

Q: The constant forces F1 = i+2j +3k N and F2 = 41-5j-2k N act together on a particle during a…

A: Given data:F1= j ^+2J^ +3k^ NF2= 4i^ -5J^ -2k^Nr2=7k^ cmr1=20j^ +15j^ cmwork is done by:-W=F→.S→ -…

Q: A mass m is at rest at O when suspended from a spring, as shown in the image. When the spring is…

A: Required : The correct statements.

Q: Spring Rebound. A 1.00 kg object slides across a rough horizontal surface. The coefficient of…

Q: A box slides from rest down a frictionless ramp inclined at 33.0° with respect to the horizontal and…

Q: Is it possible for a system to have negative potential energy? "Yes, as long as the kinetic energy…

A: Potential energy is stored energy it depends on the relative position of various parts of a system.…

Q: A 2.00 kg block is pushed against a spring with elastic constant k=400 N/m, compressing it 0.220m.…

A: The objective of this question is to find the speed of the block as it slides along the horizontal…

Q: When friction acts between an object and the system, how does this change the balance of kinetic and…

A: By observing the option we will answer the given question.

Q: The 2kg collar is released from rest at A and slides down the inclined fixed rod in the vertical…

Q: 1) A block of mass m on a smooth horizontal surface is pressed up against a horizontal spring with a…

A: As per guidelines, only first question is solved here. Given, A block of mass m on a smooth…

Q: The potential energy corresponding to the force between objects a and b, where a is at rest and b…

Q: In each of the cases shown in the figure, the block has been displaced by the same amount from…

Q: A ball of mass m = 60 g is shot with speed vi= 7.7 m/s into the barrel of a spring gun of mass M =…

Q: Problem 4: As a part of an exercise routine to strengthen their pectoral muscles a person stretches…

Q: Initial US-4 Jorge has designed a system with two springs to shoot a box y₁ across a smooth…

A: Given that The spring constant of top of the spring,K1=160 N/m then…

Q: A 41.0 kg box initially at rest is pushed 5.55 m along a rough, horizontal floor with a constant…

Q: particle of mass 20-Kg is compressing a spring 40-cm. A latch mechanism allows the spring to release…

Q: At which point(s) is the kinetic energy a maximum? A A and E A and C B and D B C O All points have…

Q: An 4.00 kg object is attached to a horizontal spring as shown. The spring has an equilibrium length…

Q: Compare the initial potential energy of the spring to the maximum gravitational potential energy of…

Q: A ball of mass m = 60 g is shot with speed vi= 7.7 m/s into the barrel of a spring gun of mass M =…

Q: You have a simple pendulum consisting of a small 450 g mass attached to a 1.20 m long string.…

A: GIVEN: Mass m= 450g = 450 x 10-3 kg ; Length of the string L = 1.2 m θ = 35o

Q: 1. A particle moves in one dimension and is subject to a conservative force, whose potential energy…

A: For equilibrium points we have to calculate force from the potential energy and equate it with zero…

Q: 2 kg collar is attached to a spring and slides without friction along a circular rod in a horizontal…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: 1. A particle moves in one dimension and is subject to a conservative force, whose potential energy…

Q: A mass m = 14 kg rests on a frictionless table and accelerated by a spring with spring constant k =…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: A 50-g mass on the end of a spring at its equilibrium position is stretched a distance of 5.00 cm…

Q: A pogo stick stores energy by compressing a stiff spring (that is, a spring with a large value for…

Q: mechanical energy is 7J:

A: According to our policy, I am doing first three subparts and rest you can upload separately.

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

m_1= 2.2 kg
block slides on
a frictionless
horizontal
surface and is
connected on
one side to a
k
wwwwwwww m₁
m₂
spring (
k = 40 N/m) as shown. The other side is connected to the
block m2 = 3.9 kg that hangs vertically. The system starts
from rest with the spring unextended.
a) What is the maximum extension of the spring?
x max
-0₂
m
b) What is the speed of block m2 when the extension is
65 cm?
v = m/s

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: Given data

VIEW

Step 2: Calculation for the maximum extension in the string.

VIEW

Step 3: Calculation expression of speed of mass m2 when extension is x'=65 cm

VIEW

Step 4: Calculation for speed of mass m2.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 39 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 10.0kg cart is released from rest with no slack in the cable and with the string unstretched. The spring constant is 125 N/m. a). When m=0, the cart travelled 0.663m before coming to rest. Determine the work done on the spring. b). When m=2.0kg, the cart travelled 0.349m before coming to rest. Determine the work done on the spring.
k=61 N/m 2.8 m The 6.0 kg bar is released from rest at an angle of 0₁ = 25°. The spring attached to the top of the bar was unstretched when the bar was vertical. i) Find the change of the bar's gravitational potential energy as it falls to 0₂ = 35°. Vg.2 - Vg1 = ii) Find the change of the spring's potential energy as it falls to 0₂ = 35°. Vsp.2 - V sp,1 = iii) Write an equation relating the speed of the bar's center to its angular speed at 0₂ = 35°. v(w) = iv) Find the angular speed of the bar when it reaches 0₂ = 35°. W₂ =
7. The force of an ideal spring is given by F = -k x Where k is the spring constant of the spring and x is the displacement of the spring from equilibrium. To stretch a certain spring 3.00 cm from its unstretched length, 12.0 J of work must be done. a. What is the force constant of this spring? b. What magnitude force is needed to stretch the spring 3.00 cm from its unstretched length? c. How much work must be done to compress this spring 4.00 cm from its unstretched length, and what force is needed to compress it this distance?
From the force vs displacement graph, find the total work done on the particle from x-0 to x=6.0m F(N) 9.0 J O 11.0J O 7.5 J O 12.0 J
k A small toy car of mass m = 0.05 kg is placed on a rough surface and compressed against a spring with spring constant k = 20 N/m. The equilibrium length of the spring is xo = 0.25 m , and it is compressed to a length of x1 between the car and the spring is f = 1 N. When the spring extends back to a 0.1 m. After the car is released, the magnitude of kinetic friction length of x2 0.2 m, what is the magnitude of the toy car's velocity? Pick the correct answer v = 2 m/s C v = 0m/s v = 3.46 m/s C v = 2.8 m/s v = 2.24 m/s
1. A box of mass m,, initially at rest, is acted on by a single position and time-dependent force y F(x) = Fo sin(b?t) £ + Fo e Viŷ with b, Fo, y, constants. a. Determine the units of the constant b, F., and y1. b. Assuming your system is the book, find the work done by this force on the book as it moves from 7 = õ to i; = xf& + Y1ŷ.
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 ?
A 42 kg box is being pushed a distance of 7.0 m across the floor by a force P whose magnitude is 155 N. The force P is parallel to the displacement of the box. The coefficient of kinetic friction is 0.25. Determine the work done on the box by each of the four forces that act on the box. Be sure to include the proper plus or minus sign for the work done by each force.applied force Jfrictional force Jnormal force Jgravity J
force of 10 N creates a displacement of 2 m but the work done on the body throughout its motion is equal to 70 J. What possibly can be the reason or this? a) There are multiple forces action on the body b) The body is at rest c) The force is not uniform d) The displacement is harmonic
2 kg and M=3 kg, are connected by a very light string passing over a massless and frictionless pulley. The M block moves 3 m to the right with constant speed. A Two blocks of maSses M 147 %3D During this process, how much work is done on the M block by the tension in the string? (Take g= 10 m/s) %3D