PHY 205 Lecture Notes - Lecture 26: Net Force, Dependent And Independent Variables, Terminal Velocity

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harlequinsalmon729

18 Jul 2019

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The energy in the motion of an object is in form of . energy. The energy stored in food is a form of . energy. This type of energy is stored in the nucleus of atoms . Energy cannot be created nor destroyed, just transformed. If the net force acting on a stationary object is zero, then the object will . It changes position relative to a stationary reference point. An object that changes position relative to a reference point is . Average speed can be represented by the mathematical expression . The velocity of an object consists of its speed and . On a distance vs. time graph of an object"s motion, distance is usually . Plotted on the y axis and is the dependent variable. When the motion of an object is shown by a straight line on a distance vs. time graph with distance on the y-axis, the slope of the line is the .

Related Questions

The kinetic energy

of an object of mass

moving at a speed

is defined as $K=(1/2)mv^2$ . It seems reasonable to say that the speed of an object--and, therefore, its kinetic energy--can be changed by performing work on the object. In this problem, we will explore the mathematical relationship between the work done on an object and the change in the kinetic energy of that object.

Let us now consider the situation quantitatively. Let the mass of the sled be and the magnitude of the net force acting on the sled be. The sled starts from rest.

Consider an interval of time during which the sled covers a distance

and the speed of the sled increases from

. We will use this information to find the relationship between the work done by the net force (otherwise known as the network) and the change in the kinetic energy of the sled.

Find the net force

acting on the sled.

Express your answer in terms of someor all of the variables

, and

Find the net work

done on the sled.

Express your answer in terms of someor all of the variables

is defined as $K=(1/2)mv^2$ . It seems reasonable to say that the speed of anobject--and, therefore, its kinetic energy--can be changed byperforming work on the object. In this problem, we willexplore the mathematical relationship between the work done on anobject and the change in the kinetic energy of that object.

Let us now consider the situationquantitatively. Let the mass of the sled be and the magnitude of the net force acting on the sled be. The sled starts from rest.

Consider an interval of time duringwhich the sled covers a distance

and the speed of the sled increases from

. We will use this information to find the relationshipbetween the work done by the net force (otherwise known as thenet work) and the change in the kinetic energy of thesled.

Find the net force

acting on the sled.

Express your answer in terms of someor all of the variables

, and

Find the net work

done on the sled.

Express your answer in terms of someor all of the variables

and

graywildebeest386

Galileo thought about whether acceleration should be defined as the rate of change of velocity over time or as the rate of change in velocity over distance. He chose the former, so let’s use the name “vroomosity” for the rate of change of velocity over distance. For the motion of a particle on a straight line with constant acceleration, the equation v = v_i + at gives its velocity v as a function of time. Similarly, for a particle’s linear motion with constant vroomosity k, the equation v = v_i + kx gives the velocity as a function of the position x if the particle’s speed is v_i at x = 0. (a) Find the law describing the total force acting on this object of mass m. Describe an example of such a motion or explain why it is unrealistic for (b) the possibility of k positive and (c) the possibility of k negative.

violethorse873

1. A block is placed on a plane whose angle of inclination is 30˚. The coefficients of static and kinetic friction for the block on the inclined plane are both 0.2. The block
(A) remains stationary on the inclined plane.
(B) accelerates down the inclined plane.
(C) travels down the inclined plane at a constant velocity.
(D) travels up the inclined plane at a constant velocity.
(E) accelerates up the inclined plane.

2. An object with a mass of 5.5 kg is allowed to slide from rest down an inclined plane. The plane makes an angle of 30˚ with the horizontal and is 72 m long. The coefficient of friction between the plane and the object is 0.35. The speed of the object at the bottom of the plane is?

3. A 5-kg object slides down a frictionless surface inclined at an angle of 30˚ from the horizontal. The total distance moved by the object along the plane is 10 meters. The work done on the object by the normal force of the surface is?

4. A mass m = 2.5 kg is sliding along a frictionless table with initial speed v as shown in the figure. It strikes a coiled spring that has a force constant k = 500 N/m and
compresses it a distance x=5.0 cm. The initial speed v of the block was..?

5. The graph shows how the position of a particle depends on time. Which choice is closest to the instantaneous speed of the particle at t = 3s?
(A) 0.40 m/s
(B) 0.67 m/s
(C) 0.75 m/s
(D) 1.50 m/s
(E) 2.22 m/s

6. Calculate the work done by a force, F = 2x i, along the
path (0, 0) -> P₁(2, 0) -> P2(2, 2).

turquoisearmadillo973

PHY 205 Lecture Notes - Lecture 26: Net Force, Dependent And Independent Variables, Terminal Velocity

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