Work done to stop a moving object

or

Work done to stop a moving object
.

IF we use object and compress spring this same distance (x

does not give direction. Have to go to PICTURE; conclude that
Work done to stop a moving object
.

Potential Energy

Object in motion -- has kinetic energy. With or without motion, objects can have Potential Energy -- "potential to do work".

Examples: Object (Mass) at top of a building

Mass pushed up against Compressed Spring

Water behind a dam

A drawn bow

For mechanical systems -- best to think of this type of energy as "energy of position".

For spring, we do work compressing the spring -- once compressed, spring ready to deliver the energy back by accelerating a mass and giving it KE.

When you compress the spring a distance x, the work done to compress the spring =  

Work done to stop a moving object
; the work the spring can now deliver W =
Work done to stop a moving object
(Conservative Force) The spring is said to contain potential energy U = W =
Work done to stop a moving object
.  When you release the spring, you can deliver this amount of energy to a mass m, so: 
Work done to stop a moving object
mv

  =
Work done to stop a moving object
.

Gravity

is a conservative force, also. Work done in lifting mass m a distance h = W = mgh. Therefore, for h > 0, U = W = mgh.

Work done to stop a moving object

So Gravitational Potential Energy (in vicinity of Earth’s Surface) is

U

= mgh = mgy (up +)

Suppose you throw a ball straight up with velocity v

= 0. Know that:
Work done to stop a moving object
.

REMEMBER: holds for going up and going down!!!!

MULTIPLY BY

Work done to stop a moving object
:

                       

Work done to stop a moving object

Rearrange:

Work done to stop a moving object
(1)

The change in the potential energy = change in KE. Gives |v| for any allowed y. (Max y occurs when v = 0:

Work done to stop a moving object
, as previously calculated).

Another form of Eq. (1): U

SUM = Total Mechanical Energy = E

HOLDS FOR ALL CONSERVATIVE FORCES. "initial" is whenever you start the problem, "final" is whenever you want an answer. NOTE that if y

, i.e., come back to where you started, E the same, independent of path.

Nonconservative forces - E depends on path. Best example is frictional forces. You do work against them, but you can’t get it back (goes into heat).

Conservative: U

+ Q(heat)

Q represents lost mechanical energy; if we include, Energy still conserved.

Suppose you throw three balls of equal mass m off a cliff with the same speed, v

, but at three angles relative to the horizontal shown in figure: 0°, ±45°. Which ball, 1, 2, or 3 strikes the ground (distance h below) with the greatest speed? Neglect air resistance.

   

Work done to stop a moving object

Answer: They all hit the ground with the same speed. In all three cases, at throw,

Work done to stop a moving object
. At collision with ground,

Therefore,    

Work done to stop a moving object
     independent of m!!

Could be all different mass; same result.

Skier with Friction

A skier of mass 80 kg starts from rest down a slope where

y = 110 m. The speed of the skier at the bottom of the slope is 20 m/s.

        

Work done to stop a moving object

(a) Show that the system is nonconservative.

Given m, v

, system lost energy -- non-conservative.

(b) How much work is done by the non-conservative force?

Q = E

J (roughly 80% lost to heating up the snow).

Conservation of Energy holds for conversion between all types of energy: mechanical, electrical, thermal, nuclear, chemical. On microscopic / submicroscopic levels -- these forms of energy are describable by kinetic and potential energy. E.g., energy of chemical bond consists of the motion KE, attractive and repulsive forces (therefore PE) from electrons and nuclei.

In nuclear reactions -- must take into account that mass actually can be converted to energy:

, Einstein’s famous equation.

Driver’s Training

Speed of a car increased by 50%. By what factor will minimum braking distance be increased (ignore reaction time)?

Asked By: Jake Walker Date: created: Aug 29 2021

Answered By: Michael Phillips Date: created: Aug 29 2021

Braking forcesHowever, the braking distance increases four times each time the starting speed doubles.

This is because the work done in bringing a car to rest means removing all of its kinetic energy.Work done = kinetic energy.Work done = braking force × distance..

Asked By: Reginald Barnes Date: created: Aug 12 2021

What happens when two forces act on an object

Answered By: Hunter Washington Date: created: Aug 13 2021

When more than one force acts on an object, the forces combine to form a net force. The combination of all the forces acting on an object is the net force. … If two forces of equal strength act on an object in opposite directions, the forces will cancel, resulting in a net force of zero and no movement.

Asked By: Tyler Russell Date: created: Feb 09 2022

What if I push an object which is already moving horizontally

Answered By: Cameron Hayes Date: created: Feb 12 2022

Thus, force would cause. acceleration in horizontal motion.

Asked By: Henry Torres Date: created: Dec 29 2021

Why do objects eventually stop moving

Answered By: Nathan Rogers Date: created: Dec 31 2021

The force that brings nearly everything to a stop is friction,which is the force that acts to resist sliding between two touch- ing surfaces, as shown in Figure 3. Friction is why you never see objects moving with constant velocity unless a net force is applied.

Asked By: Peter Scott Date: created: Feb 20 2021

Will the object move by itself

Answered By: Lewis Jackson Date: created: Feb 22 2021

Objects do not move on their own. If they are in motion they were initially moved by a force, either from their initial development as an object or by an outside force that initially moved them to motion. … Particles always vibrate and spin without the need of any outside force.

Asked By: Logan Cox Date: created: Apr 23 2021

What is required to cause acceleration

Answered By: David Lee Date: created: Apr 24 2021

the rate of change of velocity is called as acceleration . so , change in velocity is required to form acceleration. and unbalanced forces also cause to form acceleration.

Asked By: Connor Bailey Date: created: Aug 07 2021

How do you calculate the force of a moving object

Answered By: Hunter Kelly Date: created: Aug 08 2021

The force (F) required to move an object of mass (m) with an acceleration (a) is given by the formula F = m x a. So, force = mass multiplied by acceleration.

Asked By: Antonio Brown Date: created: Apr 07 2021

What two forces help stop a moving object

Answered By: Fred Jenkins Date: created: Apr 09 2021

Unbalanced forces cause an object to start moving, stop moving, or change direction. Unbalanced forces acting on an object will change the object’s motion. Unbalanced forces can also stop a moving object. The three main forces that stop moving objects are friction, gravity and wind resistance.

Asked By: Mason Morris Date: created: Feb 28 2022

What makes an object stay in place

Answered By: Louis Barnes Date: created: Feb 28 2022

Answer Expert Verified Newton’s inertia states that an object stays at rest unless acted upon an imbalanced force. Therefore, objects stay in place, because the forces acting on that object are balanced or the sum of the forces is equal to 0.

Asked By: Reginald Patterson Date: created: Nov 04 2021

How much force is required to stop a bus

Answered By: Juan Gray Date: created: Nov 07 2021

Force used to stop the bus = mass of the bus in kg× deceleration = 5000 kg× – 2 m/s² = – 10,000 N. The minus sign implies force is supplied by the decelerating agency.

Asked By: Peter Ross Date: created: Mar 25 2022

Why does it take a larger force to stop a vehicle moving faster

Answered By: Carlos Butler Date: created: Mar 26 2022

A heavier vehicle means more mass, which means more momentum which equals a longer stopping distance. In other words heavier/faster vehicles will have a harder time slowing down. Stopping distance relates to momentum and friction. High momentum and low friction equals a longer stopping distance.

Asked By: Norman Hernandez Date: created: Dec 17 2021

Does it take a stronger force to slow something down

Answered By: Patrick Wilson Date: created: Dec 20 2021

When a force pushes or pulls the object, the object will move in the direction of the force. The bigger the force, and the lighter the object, the greater the acceleration. It can also make something slow down, speed up or change direction.

Asked By: David Adams Date: created: Feb 22 2021

What is natural state of an object

Answered By: Miguel Morgan Date: created: Feb 24 2021

Objects do not change motion without unbalanced force. Objects in motion do not always require a force to keep them moving. Objects have two “natural” states of motion, at rest (static equilibrium) and moving at a constant speed and direction (dynamic equilibrium).

Asked By: Christopher Perry Date: created: Jul 06 2021

How much force is needed to keep an object moving at a constant velocity

Answered By: Joseph Bryant Date: created: Jul 09 2021

Newton’s law states quite the opposite; no force is needed to maintain a constant velocity. Forces produce a change in velocity not the velocity itself. If all external forces are balanced and the velocity is zero, then the object remains at rest.

Asked By: Martin Phillips Date: created: Apr 09 2022

What force is needed to stop a moving object

Answered By: Geoffrey Perez Date: created: Apr 09 2022

FrictionFriction is a force that slows or stops motion. Friction is the resistance to motion created by two objects rubbing against each other (the sled and the snow, for instance). Even air causes friction.

Asked By: Gavin Wood Date: created: Jul 16 2021

Can a force stop a moving object

Answered By: Gilbert Cox Date: created: Jul 19 2021

If an object is moving and there is an applied force in the opposite direction of the motion, the object will decelerate or slow down. If you throw a ball up at a given velocity, it will slow down as it travels upward due to the force of gravity. … A decelerating force can cause a moving object to stop.

Asked By: Devin Butler Date: created: Mar 05 2021

What force is required for a vehicle to stop

Answered By: Raymond Evans Date: created: Mar 08 2021

The force needed to stop the car in 50 metres is 5,000 N.

Asked By: Alexander Lee Date: created: Jan 10 2021

What happens when two objects collide

Answered By: Geoffrey Diaz Date: created: Jan 12 2021

Newton’s third law of motion is naturally applied to collisions between two objects. In a collision between two objects, both objects experience forces that are equal in magnitude and opposite in direction. Such forces often cause one object to speed up (gain momentum) and the other object to slow down (lose momentum).

Asked By: Herbert Morris Date: created: May 14 2022

When you push or pull something you are creating

Answered By: Jesus Campbell Date: created: May 14 2022

Force is a push or a pull of an object that causes the object to speed up, slow down, or stay in one place. In other words, a force is what causes an object to move. Friction and gravity are two types of forces that influence how an object moves.

Asked By: Evan Cox Date: created: Mar 22 2021

Why do we need force to move an object

Answered By: Dylan Wright Date: created: Mar 22 2021

Force and Motion Forces cause all motions. Everytime the motion of an object changes, it’s because a force has been applied to it. Force can cause a stationary object to start moving or a moving object to change its speed or direction or both. A change in the speed or direction of an object is called acceleration.

Asked By: Jordan Taylor Date: created: Jun 08 2021

Who said that a force is not needed to keep an object moving

Answered By: Eric Allen Date: created: Jun 09 2021

NewtonBy the time Newton came along, the prevailing theory of motion—formulated by Aristotle—was nearly two thousand years old. It stated that if an object is moving, some sort of force is required to keep it moving. Unless that moving thing is being pushed or pulled, it will simply slow down or stop.

Work done to stop a moving object
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