Question: The figure shows carts A and B connected by a 39m long tight rope that passes over pulley P. Point Q is 12m directly below

The figure shows carts A and B connected by a 39m long tight rope that passes over pulley P. Point Q is 12m directly below P. Cart A is being pulled away from Q at 4m/s. Use the information above to answer the following questions: | 12m A B Z 1) Let the distance of cart A from Q be z, and B from Q be x . Find an expression that relates z to x. 2) Use Implicit Differentiation to find the relationship between " and di 3) Use the result in (b) to find the speed at which cart B is moving towards Q when the distance z = 5m

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

The following activities occur at Greenwich Corporation, a company that contracts out a temporary workforce to retailers to meet seasonal demand: Required: Classify each of the activities below as a...

Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley P (see the figure). The point Q is on the floor 12 ft directly beneath P and between the carts. Cart A is being pulled...

5. Two carts, A and B, are on the floor of a warehouse. The carts are connected by a rope 25 metres long. The rope is stretched tight and pulled over a pulley attached to a rafter 3 metres above a...

54 Two carts, A and B, are on the floor of a warehouse. The carts are connected by a rope 25 metres long. The rope is stretched tight and pulled over a pulley attached to a rafter 3 metres above a...

{4) {a} [8 pts] A 5 n1 ladder is leaning against a house when its base starts to slide away. By the time the base is 3 n1 from the house, the base is moving at the rate of 1.6 mfsec. At what rate is...

(4) (a) [8 pts] A 5 m ladder is leaning against a house when its base starts to slide away. By the time the base is 3 In from the house, the base is moving at the rate of 1.6 rn/sec. At what rate is...

Two carts, A and B, are connected by a rope 50ft long that passes over a pulley P. The point Q is on the floor 10 ft directly below P and between the carts. See the image provided. Cart A is being...

1. Vector A has a magnitude of29.5units and it points in a direction345counterclockwise from the positive x -axis.What are the x -and y -componentsof A ? A x = units A y = units 2. A vector A has...

handwrit.e and show all work and steps 1. A batter hits a 0.140-kg baseball that was approaching him at 30 m/s and, as a result, the ball leaves the bat at 40 m/s in the reverse of its original...

I need help with these A firefighter with a weight of 771 N slides down a vertical pole with an acceleration of 3.11 m/s2, directed downward. What are the magnitudes and directions (choose the...

The heaviest invertebrate is the giant squid, which is estimated to have a weight of about0.15tons spread out over its length of30feet.What is its weight in newtons? N 2. [0.17/1...

What are some of the technologies Jean-Luc Chatelain says Hewlett Packard uses to facilitate communication among its teams? Based on Chatelain's comments, why is communication in teams so difficult?

For two events, A and B, P(A) = .4, P(B) = .2, and P(A | B) = .6: a. Find P(A B). b. Find P(B | A).

Compute the given integral. Use exact values. 0 9 e - 5 x d x =

Invent examples of data with (a) SS(between) = 0 and SS(within) > 0 (b) SS(between) > 0 and SS(within) = 0 For each example, use three samples, each of size 5.

JFK Corp. factors $300,000 of accounts receivable with LBJ Finance Corporation on a without recourse basis on July 1, 2008. The receivables records are transferred to LBJ Finance, which will receive...

Assume that Toyland store bought and sold a line of dolls during December as follows: Dec. 1Beginning merchandise inventory... 11 units @ $ 8 each 8 Sale................... 6 units @ $ 21 each 14...

Ames Quartet Inc. factors receivables with a carrying amount of $200,000 to Joffrey Company for $160,000 on a with recourse basis. Instructions The recourse provision has a fair value of $1,000. This...

Name two common post hoc procedures for the comparison of means in an ANOVA.

Top-Level management at "ABC" store has a target of $50,000 total sale amount per quarter for their children department. John is the manager of children department. Which Decision Support Systems...

Which single technology change has had the largest effect on your behavior?

One of the purposes of college is to train and develop students for future careers. How would you rate your overall college education?

Of the 11 methods for overcoming resistance to change, which one do you think is the best?