The coiled spring of a toy supports the weight of a child. The spring is compressed...
The coiled spring of a toy supports the weight of a child. The spring is compressed a distance of 1.6 inches by the weight of a 35-pound child. The toy will not work properly if its spring is compressed more than 6 inches. What is the weight of the heaviest child who should be allowed to use the toy? (Round your answer to two decimal places.)
Homework Answers
Given,
x = 1.6 in = 0.041 m
m = 35 pound = 15.88 kg
We know that, for a vertical spring system
F(hooks) = weight
kx = mg
k = mg/x = 15.88 x 9.81/0.041 = 3780 N/m
m = kx/g
m = 3780 x 0.1524/9.8 = 59.1 kg
Hence, m = 59.1 kg = 130.3 pounds
Add Answer to:
The coiled spring of a toy supports the weight of a child. The
spring is compressed...
. Simple Harmonic Motion: An object is attached to a coiled spring. It is pulled down a distance of 6 inches from its equilibrium position and released. The period of the motion is 4 seconds. a....
. Simple Harmonic Motion: An object is attached to a coiled spring. It is pulled down a distance of 6 inches from its equilibrium position and released. The period of the motion is 4 seconds. a. Show your work for modeling an equation of the objects simple harmonic motion d a cos wt where d is distance from the rest position and the 0. A hand sketch may be helpful, but is not required. period is b. What is the...
1. 2. A spring-loaded toy gun is used to shoot a ball of mass M straight...
1. 2. A spring-loaded toy gun is used to shoot a ball of mass M straight up in the air. The ball is not attached to the spring. The ball is pushed down onto the spring so that the spring is compressed a distance S below its unstretched point. After release, the ball reaches a maximum height 35, measured from the unstretched position of the spring (see diagram below). Maximum Height Spring unstretched Spring compressed Mass released from west will...
Part 1 Timely Transport provides local delivery service for a number of downtown and suburban businesses. Delivery charges are based on distance and weight involved for each delivery: 20 cents per pou...
Part 1 Timely Transport provides local delivery service for a number of downtown and suburban businesses. Delivery charges are based on distance and weight involved for each delivery: 20 cents per pound and 15 cents per mile. Also, there is a $25 handling fee per parcel. a. Develop an expression that summarizes delivery charges. (Enter your answers as dollar amounts to 2 decimal places (x1 = weight, x2 = distance). Omit the "$" sign in your response.) y = $...
The average weight of a professional football player in 2009 was 245.3 pounds. Assume the population...
The average weight of a professional football player in 2009 was 245.3 pounds. Assume the population standard deviation is 40 pounds. A random sample of 35 professional football players was selected. Complete parts a through e a. Calculate the standard error of the mean. = 6.76 (Round to two decimal places as needed.) b. What is the probability that the sample mean will be less than 236 pounds? P( <236) 0845 (Round to four decimal places as needed.) c. What...
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these...
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 35 hours. hours and a standard deviation of 5.2 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 9 batteries. a. What can you say about the shape of the distribution of the sample mean? Sample mean Normal b. What is the standard error of the distribution of...
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 35 hours and a standard deviation of 5.6 hours. As a part of its quality assurance program,
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 35 hours and a standard deviation of 5.6 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 9 batteries.normal distribution with 1.8667 standard errorWhat proportion of the samples will have a mean useful life of more than 37 hours? (Round your z value to 2 decimal places and final answer to...
1. The average amount parents and children spent per child on back-to-school clothes in Autumn 2010...
1. The average amount parents and children spent per child on back-to-school clothes in Autumn 2010 was $527. Assume the standard deviation is $160 and that the amount spent is normally distributed. What is the probability that the amount spent on a randomly selected child is more than $700? (Round to four decimal places) What is the probability that the amount spent on a randomly selected child is less than $100? (Round to four decimal places) What is the probability...
1)Dog weights. Adult German shepherd weights are normally distributed with mean of 73 pounds and standard...
1)Dog weights. Adult German shepherd weights are normally distributed with mean of 73 pounds and standard deviation of 8 pounds. (a) The bottom 24% of weights are below what weight? _________ (b) 76% of weights are above what weight?___________ (c) The top 24% of weights are above what weight? ___________ (Round answers to one decimal place) 2)A distribution of values is normal with a mean of 60 and a standard deviation of 7. Find the interval containing the middle-most 82%...
We The Pound to arundomy weddy who was only way to Swa r owy 2006 maybe...
We The Pound to arundomy weddy who was only way to Swa r owy 2006 maybe some more to be made by sa A The Other more to che OD. The more you can siano The data represent the number of driving fatalities for a certain area by age for male and female drivers. Male Female under 16 179 129 16-20 5662 2065 21-34 12,676 4647 35-54 13,185 5091 55-69 4502 2485 70 and over 2988 1831 (a) What is...
Birth weight and gestational age. The Child Health and Development Studies considered pregnancies among women in...
Birth weight and gestational age. The Child Health and Development Studies considered pregnancies among women in the San Francisco East Bay area. Researchers took a random sample of 50 pregnancies and used statistical software to construct a linear regression model to predict a baby's birth weight in ounces using the gestation age (the number of days the mother was pregnant). A portion of the computer output and the scatter plot is shown below. Round all calculated results to four decimal...
. Simple Harmonic Motion: An object is attached to a coiled spring. It is pulled down a distance of 6 inches from its equilibrium position and released. The period of the motion is 4 seconds. a. Show your work for modeling an equation of the objects simple harmonic motion d a cos wt where d is distance from the rest position and the 0. A hand sketch may be helpful, but is not required. period is b. What is the...
1. 2. A spring-loaded toy gun is used to shoot a ball of mass M straight up in the air. The ball is not attached to the spring. The ball is pushed down onto the spring so that the spring is compressed a distance S below its unstretched point. After release, the ball reaches a maximum height 35, measured from the unstretched position of the spring (see diagram below). Maximum Height Spring unstretched Spring compressed Mass released from west will...
The average weight of a professional football player in 2009 was 245.3 pounds. Assume the population standard deviation is 40 pounds. A random sample of 35 professional football players was selected. Complete parts a through e a. Calculate the standard error of the mean. = 6.76 (Round to two decimal places as needed.) b. What is the probability that the sample mean will be less than 236 pounds? P( <236) 0845 (Round to four decimal places as needed.) c. What...
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 35 hours. hours and a standard deviation of 5.2 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 9 batteries. a. What can you say about the shape of the distribution of the sample mean? Sample mean Normal b. What is the standard error of the distribution of...
We The Pound to arundomy weddy who was only way to Swa r owy 2006 maybe some more to be made by sa A The Other more to che OD. The more you can siano The data represent the number of driving fatalities for a certain area by age for male and female drivers. Male Female under 16 179 129 16-20 5662 2065 21-34 12,676 4647 35-54 13,185 5091 55-69 4502 2485 70 and over 2988 1831 (a) What is...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago