Christina L

How many gallons will spill out of the 20.3- gallon tank when the temperature rises to 39.3 °C?

A 0.0247 kg ball is shot from the plunger of a pinball machine. Because of a centripetal force of 0.0207 N, the ball follows a circular arc whose radius is 0.263 m. What is the speed of the ball?

Two cars are traveling at the same speed of 25 m/s on a curve that has a radius of 117 m. Car A has a mass of 1000 kg, and car B has a mass of 1660 kg. Find (a) the magnitude of the centripetal acceleration and (b) the magnitude of the centripetal force for Car A, (c) the magnitude of the centripetal acceleration and (d) the magnitude of the centripetal force for Car B.

From her bedroom window a girl drops a water-filled balloon to the ground, 6.81 m below. If the balloon is released from rest, how long is it in the air?

A ball is thrown straight upward. At 5.90 m above its launch point, the ball’s speed is one-half its launch speed. What maximum height above its launch point does the ball attain?

Multiple-Concept Example 6 reviews the concepts that play a role in this problem. A diver springs upward with an initial speed of 1.86 m/s from a 3.0-m board. (a) Find the velocity with which he strikes the water. [Hint: When the diver reaches the water, his displacement is y = -3.0 m (measured from the board), assuming that the downward direction is chosen as the negative direction.] (b) What is the highest point he reaches above the water?

The greatest height reported for a jump into an airbag is 99.4 m by stuntman Dan Koko. In 1948 he jumped from rest from the top of the Vegas World Hotel and Casino. He struck the airbag at a speed of 39 m/s (88 mi/h). To assess the effects of air resistance, determine how fast he would have been traveling on impact had air resistance been absent.

A locomotive is accelerating at 1.38 m/s2. It passes through a 16.0-m-wide crossing in a time of 2.61 s. After the locomotive leaves the crossing, how much time is required until its speed reaches 28.5 m/s?

A jetliner, traveling northward, is landing with a speed of 58.5 m/s. Once the jet touches down, it has 706 m of runway in which to reduce its speed to 7.22 m/s. Compute the average acceleration (magnitude and direction) of the plane during landing (take the direction of the plane's motion as positive).

A motorcycle has a constant acceleration of 3.25 m/s2. Both the velocity and acceleration of the motorcycle point in the same direction. How much time is required for the motorcycle to change its speed from (a) 22.1 to 32.1 m/s, and (b) 52.1 to 62.1 m/

(a) Suppose that a NASCAR race car is moving to the right with a constant velocity of + 88 m/s. What is the average acceleration of the car? (b) Twelve seconds later, the car is halfway around the track and traveling in the opposite direction with the same speed. What is the average acceleration of the car?

A bicyclist makes a trip that consists of three parts, each in the same direction (due north) along a straight road. During the first part, she rides for 20.8 minutes at an average speed of 7.96 m/s. During the second part, she rides for 33.4 minutes at an average speed of 4.14 m/s. Finally, during the third part, she rides for 11.0 minutes at an average speed of 17.1 m/s. (a) How far has the bicyclist traveled during the entire trip? (b) What is the average speed of the bicyclist for the trip?

The three-toed sloth is the slowest moving land mammal. Assume that on the ground the sloth moves at an average speed of 0.0449 m/s, considerably slower than the giant tortoise, which walks at 0.0515 m/s. After 10 minutes of walking, how much further would the tortoise have gone relative to the sloth?

The data in the following table describe the initial and final positions of a moving car. The elapsed time for each of the three pairs of positions listed in the table is 0.55 s. Review the concept of average velocity in Section 2.2 and then determine the average velocity (magnitude and direction) for each of the three pairs. Note that the algebraic sign of your answers will convey the direction.

Intial Position Final Position

A) +1.6 +6.41

b) +5.6 +1.6

C) -2.9 +6.8

Due to continental drift, the North American and European continents are drifting apart at an average speed of about 3 cm per year. At this speed, how long (in years) will it take for them to drift apart by another 1108 m?

Two forces are applied to a tree stump to pull it out of the ground. Force A has a magnitude of 2640 newtons (N) and points 27.0 ° south of east, while force B has a magnitude of 2570 N and points due south. Using the component method, find the (a) magnitude and (b) direction of the resultant force A + B that is applied to the stump. Specify the direction as a positive angle with respect to due east.

Two workers are trying to move a heavy crate. One pushes on the crate with a force , which has a magnitude of 412 newtons (N) and is directed due west. The other pushes with a force , which has a magnitude of 398 N and is directed due north. What are (a) the magnitude and (b) direction of the resultant force + applied to the crate? Suppose that the second worker applies a force - instead of . What then are (c) the magnitude and (d) direction of the resultant force - applied to the crate? In both cases express the direction as a positive angle relative to due west.

the simple hydrocarbon n-heptane has a structural formula of ch3(Ch2)3CH3.

Menthol is a crystalline substance with a peppermint taste and odor. When 1.39 g of menthol is dissolved in 25.0 g of cyclohexane, the freezing point of the solution is lowered by 7.40 °C. The freezing point and Kf constant for cyclohexane can be found here. Calculate the molar mass of menthol.