Question

A 1.2kg coconut is hanging from a vine at a height of 2 meters above the...

A 1.2kg coconut is hanging from a vine at a height of 2 meters above the ground. When the coconut is dropped it swings down and hits a .8kg lemur, who sticks to the coconut. The coconut then continues its arc up the other side.

a. What is the speed of the coconut before it hits the lemur?

b. What is the speed of the coconut and lemur after the collision?

c. If the lemur wants to reach a persimmon that is at a height of 1.2 m above the ground on the far side of the swing, will it be able to?

d. Through what maximum angle does the lemur swing?

Homework Answers

Answer #1

here,

the mass of coconut , m1 = 1.2 kg

the mass of lemur , m2 = 0.8 kg

height , h1 = 2 m

a)

the speed of the coconut before it hits the lemur , u = sqrt(2 * g * h1)

u = sqrt(2*9.81*2) m/s

u = 6.26 m/s

b)

let the speed of the coconut and lemur after the collison be v

using conservation of momentum

m1 * u = (m1 + m2) * v

1.2 * 6.26 = (1.2 + 0.8 ) * v

v = 3.76 m/s

the speed of the coconut and lemur after the collison is 3.76 m/s

c)

the maximum height gained , h2 = u^2 /2g

h2 = 3.76^2 /(2*9.81) m = 0.72 m

as h2 < 1.2 m

the lemur will not be able to reach this height

d)

let the maximum angle be theta

h1 * ( 1 - cos(theta)) = h2

2 * ( 1 - cos(theta)) = 0.72

theta = 50.2 degree

the maximum angle is 50.2 degree

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. A 1.2kg coconut is hanging from a vine at a height of 2 meters above...
1. A 1.2kg coconut is hanging from a vine at a height of 2 meters above the ground. When the coconut is dropped it swings down and hits a .8kg lemur, who sticks to the coconut. The coconut then continues its arc up the other side. a. What is the speed of the coconut before it hits the lemur? b. What is the speed of the coconut and lemur after the collision? c. If the lemur wants to reach a...
Tarzan (an 80-kg man) is standing at rest on a tree branch 20 meters above the...
Tarzan (an 80-kg man) is standing at rest on a tree branch 20 meters above the ground. Jane (a 40-kg woman) is standing at ground level. Tarzan swings on a hanging vine from the tree and reaches ground level at the very bottom of his swing, where he grabs Jane and they continue the swing (upward again) together. How high off the ground do the two reach? (Hint: what kind of collision do the two have?
A baseball (a projectile) is launched from a height of 2 meters above the ground at...
A baseball (a projectile) is launched from a height of 2 meters above the ground at a speed of 34 m/s at an angle of 22 degrees above the horizontal. The ball is directly hit a fielder who will catch the ball and the fielder is initially 91 meters from point where the baseball is hit (home plate). If his reaction time is 0.40 seconds (time before he starts to move), what is the minimum speed he much run, in...
An 80 kg object is dropped from rest from a height of 25 meters above the...
An 80 kg object is dropped from rest from a height of 25 meters above the ground. Use the concept of energy conservation to find its speed when it is 10 meters above the ground. (Please explain, very confuse)
(a) A superball of mass 0.1kg is dropped from a height of 3 meters above the...
(a) A superball of mass 0.1kg is dropped from a height of 3 meters above the floor. It then bounces up to a height of 2.6 meters. Find the velocity of the ball the instant before it reaches ground level. (Hint: use energy equations) (b) Calculate the velocity the ball must have after the bounce at the instant it leaves the ground the reach the height of 2.6 meters. (c) Use these velocities to calculate the change i. momentum of...
A 150 gram projectile is fired horizontally from a height of 25 meters above the ground....
A 150 gram projectile is fired horizontally from a height of 25 meters above the ground. If the projectile travels 40 meters horizontally before it hits the ground, what is the velocity of the projectile right before hitting the ground?
A rock is dropped, from rest, from a height of 8.9 m above the ground at...
A rock is dropped, from rest, from a height of 8.9 m above the ground at t = 0 s. At the same time that the rock is dropped a stone is thrown upward from a height of 1.1 m above the ground at a speed of 7.1 m/s. The stone travels straight upward toward the rock. There is no air resistance. a. Determine the height above the ground where the rock hits with the stone. Blank 1. Calculate the...
King Arthur's knights fire a cannon from the top of the castle wall. The cannonball is...
King Arthur's knights fire a cannon from the top of the castle wall. The cannonball is fired at a speed of 40 m/s and at an angle of 35°. A cannonball that was accidentally dropped hits the moat below in 1.2 s. (a) How far from the castle wall does the cannonball hit the ground? (b) What is the ball's maximum height above the ground?
4. A ball is thrown at 20 m/s at an angle of 7 degrees above the...
4. A ball is thrown at 20 m/s at an angle of 7 degrees above the horizon. a. How far does it reach if it is thrown from a height of 2 m? b. What would the horizontal component of the velocity be as the ball hits the ground? c. What would the overall speed of the ball be as it hits the ground?
A 0.6 kg ball is dropped from a height, h, of 2 meters (at point A)....
A 0.6 kg ball is dropped from a height, h, of 2 meters (at point A). It hits the ground and bounces back up to a height of 1 meter (at point B) on its first bounce. (3 pts each) a. What is the total energy of the ball at A? b. What is the total energy of the ball at B? c. Why did the ball not bounce back up to its starting height?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT