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Thomas E.

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Darshan Maheshwari verified

Numerade educator

A 1580-kg car is traveling with a speed of 15.0 m/s. What is the magnitude of the horizontal net force that is required to bring the car to a halt in a distance of 50.0 m?

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In Problems 1 - 12, a differential equation is given along with the field or problem area in which it arises. Classify each as an ordinary differential equation (ODE) or a partial differential equation (PDE), give the order, and indicate the independent and dependent variables. If the equation is an ordinary differential equation, indicate whether the equation is linear or nonlinear. $$\begin{array}{l}{\frac{d^{2} y}{d x^{2}}-0.1\left(1-y^{2}\right) \frac{d y}{d x}+9 y=0} \\ {\text { (van der Pol's equation, triode vacuum tube) }}\end{array}$$

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Prabhat Tyagi verified

Numerade educator

Pollination is an example of ________. a. a possible source of new drugs b. chemical diversity c. an ecosystem service d. crop pest control

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Nicole Smina verified

Numerade educator

In each of the following groups, which element is least reactive? $\begin{array}{ll}{\text { a. Group } 1} & {\text { c. Group } 2} \\ {\text { b. Group } 7} & {\text { d. Group } 6}\end{array}$

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Umar Sohail Qureshi verified

Numerade educator

A 2.7-kg ball is thrown upward with an initial speed of 20.0 m/s from the edge of a 45.0-m-high cliff. At the instant the ball is thrown, a woman starts running away from the base of the cliff with a constant speed of 6.00 m/s. The woman runs in a straight line on level ground. Ignore air resistance on the ball. (a) At what angle above the horizontal should the ball be thrown so that the runner will catch it just before it hits the ground, and how far does she run before she catches the ball? (b) Carefully sketch the ball's trajectory as viewed by (i) a person at rest on the ground and (ii) the runner.

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As shown in the accompanying figure, a child with mass $34 \mathrm{kg}$ is seated on a smooth (frictionless) playground slide that is inclined at an angle of $27^{\circ}$ with the horizontal. How much force does the child exert on the slide, and how much force must be applied in the direction of $\mathbf{P}$ to prevent the child from sliding down the slide? Take the acceleration due to gravity to be $9.8 \mathrm{m} / \mathrm{s}^{2}$.

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Paul Gabriel verified

Numerade educator

Three carts of masses 4.00 kg, 10.0 kg, and 3.00 kg move on a frictionless, horizontal track with speeds of 5.00 m/s, 3.00 m/s, and 4.00 m/s as shown in Figure P9.24. Velcro couplers make the carts stick together after colliding. Find the final velocity of the train of three carts. (b) What If? Does your answer require that all the carts collide and stick together at the same moment? What if they collide in a different order?

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Juan Nicolás verified

Numerade educator

A firm is producing 20 units with an average total cost of $\$ 25$ and a marginal cost of $\$ 15 .$ If it were to increase production to 21 units, which of the following must occur? a. Marginal cost would decrease. b. Marginal cost would increase. c. Average total cost would decrease. d. Average total cost would increase.

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Bryan Valdivia verified

Numerade educator

Which pathway produces the most ATP molecules? a. lactic acid fermentation b. the Krebs cycle c. the electron transport chain d. glycolysis

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Prabhat Tyagi verified

Numerade educator

(II) Two narrow slits separated by 1.0 mm are illuminated by 544-nm light. Find the distance between adjacent bright fringes on a screen 4.0 m from the slits.

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