A little kid is shooting at a target with a slingshot. He picks up a rock...

A little kid is shooting at a target with a slingshot. He picks up a rock that weighs 0.028 kg (approx. 1 oz), loads it into his slingshot pouch, and pulls back the slingshot 300 mm (about 11.8 in.) before launching the rock. He had to pull with a force of about 50 N (about 11.24 lbf) to get the slingshot bands to stretch this much.

How fast will the rock be traveling at the instant he shoots?

Solutions

Expert Solution

Solution:

Mass of the rock,

Distance by which the slingshot is pulled back,

Force applied to stretch the slingshot bands,

Elastic energy stored in the slingshot bands, = Work done on the rock to pull it back,

Work done on the rock to pull it back,

Kinetic energy of the rock at the time of shoot, Elastic energy stored in the slingshot bands,

Kinetic energy of the rock at the time of shoot is given by,

, where is the speed of the rock at the time of shooting

Speed of the rock at the instant of shoot is 32.73 m/s. So, the rock is travelling at a speed of 32.73 m/s at the time the kid shoots.

genius_generous answered 2 years ago

Next > < Previous

Related Solutions

Kid Rock Const.: Kid Rock has decided to pour a footing and foundation for his new...

Kid Rock Const.: Kid Rock has decided to pour a footing and foundation for his new home. His original estimate for the labor to complete the footings and foundations was $10,000. He decided to subcontract this work out for $10,200. The subcontractor has billed Kid Rock $3,200 for this work. Kid Rock’s original estimate for the concrete material to complete the footings and foundations was $15,000 and a change order of $6,000 was approved to increase the amount of concrete. What is the original...

The probability of a man not hitting the target at a shooting range is .6. A...

The probability of a man not hitting the target at a shooting range is .6. A success is defined as hitting the target. If he shoots 12 times, what is the probability that he misses the target just once? Do not use the table in the back of the textbook. (round to the ten thousandths place) ____ The probability of a man not hitting the target at a shooting range is .6. A success is defined as hitting the target....

choose a song (Kid Rock- Picture) and explain what the understanding of common sense is in...

choose a song (Kid Rock- Picture) and explain what the understanding of common sense is in that song. Explain the perspective the song is from, what does the singer assume you know, or what is the "enthymeme" of the song. Then share whether or not you think the singer is right. Support your analysis with details.

Three people A, B, and C practice shooting at a target. The probability that A, B,...

Three people A, B, and C practice shooting at a target. The probability that A, B, and C hit the target is 0.9, 0.8 and 0.6, respectively. 1) Now select any one of them at random, what is the probability that the person selected hits the target? 2) If the person actually hit target, what is the probability that the person selected is A? 3) If the person selected shoots once more, what is the probability that he hits the...

A target in a shooting gallery consists of a vertical square wooden board, 0.230 mm on...

A target in a shooting gallery consists of a vertical square wooden board, 0.230 mm on a side and with mass 0.740 kgkg , that pivots on a horizontal axis along its top edge. The board is struck face-on at its center by a bullet with mass 1.80 gg that is traveling at 330 m/sm/s and that remains embedded in the board. A) What is the angular speed of the board just after the bullet's impact? B)What maximum height above...

Suppose at the shooting range you have a probability of hitting the bullseye on your target...

Suppose at the shooting range you have a probability of hitting the bullseye on your target of about 10%. A) What is the probability of hitting the bullseye more than 1 time in 20 shots? B) What is the mean number of bullseye's you would expect in 20 shots? C) What is the Standard Deviation of bullseye's you would expect in 20 shots?

A novice marksman is shooting at a target 1000 feet away. The probability of his hitting...

A novice marksman is shooting at a target 1000 feet away. The probability of his hitting the target is 0.3. Your answer should be rounded to the nearest thousandth. a) What is the probability that he hits the target 3rd time on the 5th shot? b) What is the probability that the number of shots he will have to make to hit the target is more than 6? c) What is the probability that he will need 6 shots to...

A target in a shooting gallery consists of a vertical square wooden board, 0.230 m on...

A target in a shooting gallery consists of a vertical square wooden board, 0.230 m on a side and with mass 0.700 kg , that pivots on a horizontal axis along its top edge. The board is struck face-on at its center by a bullet with mass 1.60 g that is traveling at 355 m/s and that remains embedded in the board. A. What is the angular speed of the board just after the bullet's impact? B. What maximum height...

You are shooting a rectangular target with width w and height h. Assume that hitting any...

You are shooting a rectangular target with width w and height h. Assume that hitting any point inside the rectangle is equally likely. Let X be the distance of the point you hit to the center of the rectangle. Find the PDF, CDF, mean and variance of X.

Suppose your hypothesis is that the average price of a two bedroom home in Little Rock...

Suppose your hypothesis is that the average price of a two bedroom home in Little Rock is $150,000. You sample 17 homes and find an average price of $145000 with a standard deviation of 7,500. Set up the null hypothesis, and the alternate hypothesis (you can write this out in words). Show the test statistic, the critical statistic, and the results of your hypothesis test. (A) Test the hypothesis at the 10% significance level (B) Test the hypothesis at 5%...

Subjects