A child swinging on a swingset with chains of length l wants to swing and jump...
A child swinging on a swingset with chains of length l wants to swing and jump off the swing to get as far as possible. The child isn't being pushed.
At what angle θ should the child let go of the swing to maximize the landing distance and what is the distance jumped as a function of θ?
Hints: Model swinging using simple pendulum and jumping using projectile motion.
Find equations for speed and height as functions of the swing angle and then a range equation.
Note: The answer is not 45 degrees as the launch is from above the ground level!
Homework Answers
Add Answer to:
A child swinging on a swingset with chains of length l
wants to swing and jump...
#2. [Swinging Disk] A uniform circular disk of mass M and radius R is set swinging...
#2. [Swinging Disk] A uniform circular disk of mass M and radius R is set swinging side-to-side about a frictionless pivot P at its edge (a) What is the disk's moment of inertia about the pivot? (b) Write an expression for the net torque acting on the disk about the pivot when the disk is displaced to the right by angle θ CM (c) Write Newton's 2nd Law for Rotation for the disk when it is displaced as shown. Be...
A tire swing of length L = 6.3 m hangs from a tree over the water. ...
A tire swing of length L = 6.3 m hangs from a tree over the water. On a hot day, a swimmer uses the swing to jump into the lake, and afterward the swing oscillates as a simple pendulum. What is the period of this pendulum? Question options: 5.0 s 6.0 s none of these 3.1 s 4.3 s Question An electric field of magnitude 100. N/c points vertically downward near Earth's surface. What force does a free electron experience...
HotWheels Launch Angle
HotWheels Launch Angle IntroductionIn this lab you are going to use the HotWheels Launcher and a ramp. The orange Hotwheels car launcher is a variable speed launch system with four settings. This makes it ideal for experiments to see the effects of velocity on projectile motion. You are going to launch a car with two different initial velocities at an angle and measure how far it lands. From the input data you can determine the initial velocity. Items needed: Measuring...
Could I get help with these problems please. For the first problem are we using two...
Could I get help with these problems please. For the first
problem are we using two different equations. Are we using a
horizontal and vertical equation. V(t)=axt+vox. I am confused
here
Suppose a baseball player throws a ball. When she releases the ball, her hand is 1 meter above the ground, and the ball leaves her hand at 18 m/s in a direction that makes a 32° angle with the horizontal. (a) What is the maximum height above the ground...
Please help with Q1 a)b)c). Question 1: In the lectures we considered simple projectile motion. Here we extend the description to include air resistance. For macroscopic objects in air, the dynamics...
Please help with Q1 a)b)c).
Question 1: In the lectures we considered simple projectile motion. Here we extend the description to include air resistance. For macroscopic objects in air, the dynamics equations including air resistance may be written V and ^- where m is the mass of the object, g is the acceleration due to gravity, y is the vertical direction, C is a dimensionless drag coefficient, A is the cross-sectional area of the object, pa 1.2kg/m3 is the density...
was trying work on this homework but can’t seem to get it right the ball and...
was
trying work on this homework but can’t seem to get it right
the ball and the pendulum cup have the same velocity after the collision. As is the case with any collision, total momentum is conserved (unchanged). Using conservation of momentum, write down an equation for Vealefore in terms of the velocity of the hall together with the pendmcu ( d the mass of the al and that of the cup (meup). ball before= Using conservation of energy between...
Scenario You have recently joined the team at A&L, an engineering firm with a broad portfolio....
Scenario You have recently joined the team at A&L, an engineering firm with a broad portfolio. A&L has recently been hired to help plan a supply drop following a natural disaster. Due to conditions on the ground, the supply drop will be done from the air. Your supervisor has asked you to use that information, as well as your knowledge of kinematics, to c.r.e.a.t.e. a. supply drop plan detailing how far the payload should be from the drop site when...
#2. [Swinging Disk] A uniform circular disk of mass M and radius R is set swinging side-to-side about a frictionless pivot P at its edge (a) What is the disk's moment of inertia about the pivot? (b) Write an expression for the net torque acting on the disk about the pivot when the disk is displaced to the right by angle θ CM (c) Write Newton's 2nd Law for Rotation for the disk when it is displaced as shown. Be...
Could I get help with these problems please. For the first
problem are we using two different equations. Are we using a
horizontal and vertical equation. V(t)=axt+vox. I am confused
here
Suppose a baseball player throws a ball. When she releases the ball, her hand is 1 meter above the ground, and the ball leaves her hand at 18 m/s in a direction that makes a 32° angle with the horizontal. (a) What is the maximum height above the ground...
Please help with Q1 a)b)c).
Question 1: In the lectures we considered simple projectile motion. Here we extend the description to include air resistance. For macroscopic objects in air, the dynamics equations including air resistance may be written V and ^- where m is the mass of the object, g is the acceleration due to gravity, y is the vertical direction, C is a dimensionless drag coefficient, A is the cross-sectional area of the object, pa 1.2kg/m3 is the density...
was
trying work on this homework but can’t seem to get it right
the ball and the pendulum cup have the same velocity after the collision. As is the case with any collision, total momentum is conserved (unchanged). Using conservation of momentum, write down an equation for Vealefore in terms of the velocity of the hall together with the pendmcu ( d the mass of the al and that of the cup (meup). ball before= Using conservation of energy between...
Most questions answered within 3 hours.
-
Lowell Corp. sells $100,000 of bonds to private investors. The
bonds are due in five years,...
asked 1 hour ago -
3) Do you believe that Disney’s
acquisition-based growth strategy is sustainable?
4) Which competencies support this...
asked 1 hour ago -
Rank the following three stocks by their total risk level highest
to lowest night writer has...
asked 1 hour ago -
A local
electronic company primarily manufactures four highly technical
telecommunication products. Each product must be processed...
asked 3 hours ago -
•Describe the basic structure of collagen monomers •Explain how
amino acid composition of collagen contributes to...
asked 4 hours ago -
Compute the sample correlation coefficient
r for each of the following data sets.
(Use 3 decimal...
asked 5 hours ago -
5a. What are the advantages and disadvantages of Proxy ARP?
b. What is the TTL field...
asked 5 hours ago -
An ice cube (density = 900[kg/m3]) with a side length of
2.54[cm] is held by a...
asked 6 hours ago -
would you say that leaders in the international context are born
or made? That is, can...
asked 7 hours ago -
Instructions
Read the Digital Trends article "Solid state drives are speedier
than hard disk drives. Are...
asked 7 hours ago -
A multiple-choice test consists of 29 questions with possible
answers of a, b, c, d. Estimate...
asked 7 hours ago -
Question 1: Ethanol is the active ingredient of alcoholic
beverages. It is also s a possible...
asked 7 hours ago