Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

While sitting on a tree branch 10.0 m above the ground, you dropa chestnut. When the chestnut has fallen 2.5 m, you throw a secondchestnut straight down. What initial speed must you give the secondchestnut if they are both to reach the ground at the same time?

$-10.6 \mathrm{m} / \mathrm{s}$

09:51

Nathan S.

Physics 101 Mechanics

Chapter 2

One-Dimensional Kinematics

Motion Along a Straight Line

James M.

September 27, 2020

Sikazwe F.

October 11, 2020

Blessing N.

October 13, 2020

Catherine A.

October 23, 2020

Nathan S., thanks this was super helpful.

Jacob M.

November 3, 2020

Simon Fraser University

University of Sheffield

University of Winnipeg

McMaster University

Lectures

04:16

In mathematics, a proof is…

04:48

In mathematics, algebra is…

02:09

A ball is thrown upward fr…

02:04

T A ball is thrown upward …

02:25

You throw a ball straight …

03:17

02:23

Free Fall An object is dro…

04:11

While standing on a bridge…

01:20

Object dropped from a towe…

03:27

Two coconuts fall freely f…

00:48

You throw a ball downward …

01:58

See Sample Problem $F$ A …

for this problem, on the topic of one dimensional kinda matics, we are told that a chestnut is dropped from a tree branch 10 m above the ground After the chest that has fallen a distance of 2.5 m A second chestnut is thrown straight down from the same point, and we want to know the initial speed that must be given to the second chestnut if they are both to reach the ground at the same time. Now we'll call not a the nut that has dropped from rest And after it has fallen 2.5 m that B is thrown down with with some initial velocity v. B, not Now. Both nuts land at the same time after falling a distance of 10 m. Well, first find the time it takes for not 8-4, m. Using the equation of motion for position as a function of time and acceleration, We also find the time required from that 8-5 for the entire 10 m. We will subtract the first time from the second to find the time interval over which not be must reach the ground in order to land at the same instant as not a well, then find the initial velocity V. B not required in order for not be to reach the ground in that time. So we'll first find the time it takes for not a two for 2.5 m. And you know that T a one is equal to The square root of two delta X. Over E. G. Using the quadratic equation, delta X is equal to U. T. Or we know T plus a half a T squared, and this is equal to the square root of two times 2 .5 m divided by The acceleration due to gravity 9.81 m/km2. So it takes not a. A time of 0.714 seconds to reach the ground to drop to 4th. m, rather the total time t A total the total time it takes for not eight to reach the ground, which is to delta X. Over G. In this case is the square root of two times 10 m, the total distance from the tree to the ground Over G, which is 9.8 m/km2. And so we calculate the total time to be one For 2/8 seconds. And so we subtract the times in order to find the time over which not be must reach the ground. So the total time that not be has a travel to the ground is equal to the total time for a minus the Time for a to pass through 2.5 m, Which is one 4-8 seconds -0.714 seconds. Which is a time for B of 0.714 seconds. So not be has 0.741714 seconds in order to reach the ground. Now we can find the initial speed. The be not as we know this is delta X minus a half G, t b total squared divided by the total time T be total. And again, all these values are known. This is a distance of 10 m minus a half times G, which is 9.81 m per square second Times the time that not be has, which is zero 714 seconds squared, divided by The time of 0.714 seconds. This gives the initial speed that the nut needs to the second not be needs to have to be 11 meters per second downward.

View More Answers From This Book

Find Another Textbook

In mathematics, a proof is a sequence of statements given to explain how a c…

In mathematics, algebra is one of the broad parts of mathematics, together w…

A ball is thrown upward from the ground with an initial speed of $25 \mathrm…

T A ball is thrown upward from the ground with an initial speed of 25 m/s; a…

You throw a ball straight up with an initial velocity of 15.0 m/s. It passes…

Free Fall An object is dropped from the top of a 100 -m tower. Its height ab…

While standing on a bridge 15.0 $\mathrm{m}$ above the ground, you drop a st…

Object dropped from a tower An object is dropped from the top of a $100-\mat…

Two coconuts fall freely from rest at the same time, one from a tree twice a…

You throw a ball downward from a window at a speed of $2.0 \mathrm{m} / \mat…

See Sample Problem $F$ A ball is thrown upward from the ground with an init…

04:21

Gravitational Tug of $\mathrm{War}$ At some point along the direct path from…

CE BIO Maneuvering a Jet Humans lose consciousness if exposedto prolonge…

00:45

To prepare homemade ice cream, a crank must be turned with a torque of 3.95 …

02:22

$\because$ A compact disk, which has a diameter of $12.0 \mathrm{cm},$ speed…

01:52

A 0.45 -kg croquet ball is initially at rest on the grass. When the ball is …

01:22

A 1.6 -kg mass attached to a spring oscillates with an amplitudeof 7.3 $…

04:04

To compress spring 1 by 0.20 $\mathrm{m}$ takes 150 $\mathrm{J}$ of work. St…

02:19

$\because$ A lawn mower has a flat, rod-shaped steel blade that rotatesa…

02:35

$\cdot$ The following table gives the angular speed of a rotating fanbla…

02:06

Two gerbils run in place with a linear speed of 0.55 $\mathrm{m} / \mathrm{s…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.