A block leaves a frictionless inclined surface horizontally after dropping off by a height hh. Find the horizontal distance DD where it will land on the floor, if h=4.4h=4.4 m and H=2.2H=2.2 m.Image Description D=D= mThe potential energy function for either one of the two atoms in a diatomic molecule is often approximated by U(x)=ax6−bx3U(x)=ax6-bx3 where xx is the distance between the atoms.At what distance of separation does the potential energy have a local minimum (not at x=∞x=∞)? Express your answer algebraically.xmin=xmin= What is the force on an atom at this separation? F(x=xmin)=F(x=xmin)= N The potential energy function for either one of the two atoms in a diatomic molecule is often approximated by \[ U(x) = \frac{a}{x^6} - \frac{b}{x^3} \]where \( x \) is the distance between the atoms.a. At what distance of separation does the potential energy have a local minimum (not at \( x = \infty \))? Express your answer algebraically.\[ x_{\text{min}} = \Box \]b. What is the force on an atom at this separation? \[ F(x = x_{\text{min}}) = \Box \, \text{N} \] The image depicts a block leaving a frictionless inclined surface horizontally. The block initially starts at a height \( h \) with zero velocity (\( v = 0 \)) and then transitions to a lower surface from a height \( H \), moving horizontally with velocity \( v \).Key components:- **Initial Configuration**: The block is at a height \( h \) above the ground, where \( v = 0 \).- **Inclined Surface**: The inclined plane allows the block to slide down without any friction.- **Horizontal Launch**: After descending, the block moves off the edge horizontally at a certain velocity \( v \).- **Vertical Drop**: The block falls a vertical distance \( H \) to the floor beneath.- **Horizontal Displacement**: The block covers a horizontal distance \( D \) from the edge to the point it lands on the floor.Given values:- \( h = 4.4 \, \text{m} \)- \( H = 2.2 \, \text{m} \)The task is to find the horizontal distance \( D \) where the block will land.At the bottom, there is a box labeled "D = ___ m" for entering the calculated distance \( D \).

Answered: Image /qna-images/answer/8b6d5090-3440-4ab0-b084-279d94e04972.jpg

Answered: A block leaves a frictionless inclined…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 64PQ

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A block leaves a frictionless inclined surface horizontally after dropping off by a height hh. Find the horizontal distance DD where it will land on the floor, if h=4.4h=4.4 m and H=2.2H=2.2 m.

Image Description

D=D= m

The potential energy function for either one of the two atoms in a diatomic molecule is often approximated by U(x)=ax6−bx3U(x)=ax6-bx3 where xx is the distance between the atoms.

At what distance of separation does the potential energy have a local minimum (not at x=∞x=∞)? Express your answer algebraically.
xmin=xmin=
What is the force on an atom at this separation? F(x=xmin)=F(x=xmin)= N

The potential energy function for either one of the two atoms in a diatomic molecule is often approximated by

\[ U(x) = \frac{a}{x^6} - \frac{b}{x^3} \]

where \( x \) is the distance between the atoms.

a. At what distance of separation does the potential energy have a local minimum (not at \( x = \infty \))? Express your answer algebraically.

\[ x_{\text{min}} = \Box \]

b. What is the force on an atom at this separation?

\[ F(x = x_{\text{min}}) = \Box \, \text{N} \]

The image depicts a block leaving a frictionless inclined surface horizontally. The block initially starts at a height \( h \) with zero velocity (\( v = 0 \)) and then transitions to a lower surface from a height \( H \), moving horizontally with velocity \( v \).

Key components:

- **Initial Configuration**: The block is at a height \( h \) above the ground, where \( v = 0 \).
- **Inclined Surface**: The inclined plane allows the block to slide down without any friction.
- **Horizontal Launch**: After descending, the block moves off the edge horizontally at a certain velocity \( v \).
- **Vertical Drop**: The block falls a vertical distance \( H \) to the floor beneath.
- **Horizontal Displacement**: The block covers a horizontal distance \( D \) from the edge to the point it lands on the floor.

Given values:
- \( h = 4.4 \, \text{m} \)
- \( H = 2.2 \, \text{m} \)

The task is to find the horizontal distance \( D \) where the block will land.

At the bottom, there is a box labeled "D = ___ m" for entering the calculated distance \( D \).

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