/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} 2-30P A cart rolls with low friction o... [FREE SOLUTION] | 91影视

91影视

A cart rolls with low friction on a track. A fan is mounted on the cart, and when the fan is turned on, there is a constant force acting on the cart. Three different experiments are performed:

(a) Fan off: The cart is originally at rest. You give it a brief push, and it coasts a long distance along the track in the +x direction, slowly coming to a stop.

(b) Fan forward: The fan is turned on, and you hold the cart stationary. You then take your hand away, and the cart moves forward, in the +x direction. After traveling a long distance along the track, you quickly stop and hold the cart.

(c) Fan backward: The fan is turned on facing the 鈥渨rong鈥 way, and you hold the cart stationary. You give it a brief push, and the cart moves forward, in the +x direction, slowing down and then turning around, returning to the starting position, where you quickly stop and hold the cart. Figure 2.57 displays four graphs of px (numbered 1鈥4), the x component of momentum, vs. time. The graphs start when the cart is at rest, and end when the cart is again at rest. Match the experiment with the correct graph.

Short Answer

Expert verified
  1. The experiment showing fan off on the cart is
  2. The experiment showing fan forward on the cart is
  3. The experiment showing fan backwards on the cart is

Step by step solution

01

Identification of given data

  • The graph will start when cart is at rest and will end when the cart is at rest.
  • The cart moves in forward direction.
02

Concept of friction

It is friction that prevents the slide of two or more objects that have different coefficients of friction. Friction may come in several forms: When two solid surfaces come into contact, dry friction acts as a counterforce to the movement of the two surfaces relative to each other.

03

Evaluation of momentum-time graph

The slope of momentum-time graph will give acceleration.

In first experiment, the cart is originally at rest, a push is given to the cart, the cart moves in positive x direction and slowly it comes to rest, in this case the fan on cart is off. The second graph satisfies the condition here the graph starts with rest accelerates to a positive direction, reaches its maximum acceleration and after this point its acceleration starts to decrease slowly at slow rate and at last the cart stops.

In the second experiment, you鈥檝e switched on the fan and are holding the cart still. When you remove your hand from the cart, it begins to travel ahead in a clockwise direction (+x). Once you've covered a significant distance, you swiftly halt and hold the cart. The fourth graph satisfies the above condition in which the cart is at still position,

reaches the maximum acceleration and then decreases slowly.

In the third experiment, you've had the fan facing the "wrong" direction and the cart isn't moving. Give it a fast push and the cart drives ahead, in the direction of the +x axis, before slowing down and finally turning around and returning towards the starting location. The first graph depicts the situation correctly here the cart starts from rest and accelerates with a positive acceleration then goes to rest and again takes the initial position.

Thus, the graphs are identified according to the situations given in the experiment.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Calculate the potential difference along the closed path consisting of two radial segments and two circular segments centred on the charge Q. Show that the four 螖V鈥檚 add up to zero. It is helpful to draw electric field vectors at several locations on each path segment to help keep track of signs.

We will consider the possibility that a free electron acted on by an electric field could gain enough energy to ionize an air molecule in a collision. (a) Consider an electron that starts from rest in a region where there is an electric field (due to some charged objects nearby) whose magnitude is nearly constant. If the electron travels a distance dand the magnitude of the electric field is E,what isthe potential difference through which the electron travels? (Pay attention to signs: Is the electron traveling with the electric field or opposite to the electric field?) (b) What is the change in potential energy of the system in this process? (c) What is the change in the kinetic energy of the electron in this process? (d) We found the mean free path of an electron in air to be about 510-7m, and in the previous question you calculated the energy required to knock an electron out of an atom. What is the magnitude of the electric field that would be required in order for an electron to gain sufficient kinetic energy to ionize a nitrogen molecule? (e) The electric field required to cause a spark in air is observed to be about 3106V/mat STP. What is the ratio of the magnitude of the field you calculated in the previous part to the observed value at STP? (f) What is it reasonable to conclude about this model of how air becomes ionized? (1) Since we used accurate numbers, this is a huge discrepancy, and the model is wrong. (2) Considering the approximations we made, this is pretty good agreement, and the model may be correct.

In a crash test, a truck with mass 2500kgtraveling at 24m/ssmashes head-on into a concrete wall without rebounding. The front end crumples so much that the truck is 0.72mshorter than before,

(a) What is the average speed of the truck during the collision (that is, during the interval between first contact with the wall and coming to a stop)?

(b) About how long does the collision last? (That is, how long is the interval between first contact with the wall and coming to a stop?)

(c) What is the magnitude of the average force exerted by the wall on the truck during the collision?

(d) It is interesting to compare this force to the weight of the tuck. Calculate the ratio of the force of the wall to the gravitational forceon the truck. This large ratio shows why a collision is so damaging.

(e) What approximations did you make in your analysis?

The performance of two different cars, car 1and car 2, was measured on a long horizontal test track. Car 1started from rest and ran with constant acceleration until it was halfway down the track and then stopped accelerating, continuing to run at the attained speed to the end of the track. Car 2started from rest and ran with a constant acceleration for the entire distance. It was observed that both cars covered the test distance in the same amount of time. (a) What was the ratio of the average speed of carto that of car 2? (b) What was the ratio of the initial acceleration of car 1to that of car 2? (c) What was the ratio of the final speed of car 1to that of car 2?

Youobservethreecartsmovingtotheleft.CartAmovestotheleftatnearlyconstantspeed.CartBmovestotheleft,graduallyspeedingup.CartCmovestotheleft,graduallyslowingdown.Whichcartorcarts,ifany,experienceanetforcetotheleft?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.