A 5-kg cat and a 10-kg dog are running with the same kinetic energy.

Question

Question

A 5-kg cat and a 10-kg dog are running with the same kinetic energy. If the speed of the cat is 8 m/s, the speed of the dog is

a) 4 m/s b) 2.82 m/s c) 5.65 m/s d) 16 m/s

Answer 1

Answer #1

Answer 2

Answer #2

SOLUITION :

Let the speed of the dog be Vd m/sec.

It is given that :

K.E. of cat = K.E. of dog.

=> 1/2 mass of cat * speed of cat^2 = 1/2 mass of dog * speed of dog^2

=> 1/2 * 5 * 8^2 = 1/2 * 10 * Vd^2

=> 160 = 5 Vd^2

=> Vd^2 = 160/5 = 32

=> Vd = speed of dog = sqrt(32) = 5.65 m/sec : OPTION c (ANSWER).

answered by: Tulsiram Garg

Answer 3

Similar Homework Help Questions

What is the kinetic energy of a 30 kg dog that is running at a speed...

What is the kinetic energy of a 30 kg dog that is running at a speed of 7.8 m/s (about 17 mi/h)?
A 27.2 kg dog is running northward at 2.64 m/s , while a 5.85 kg cat...

A 27.2 kg dog is running northward at 2.64 m/s , while a 5.85 kg cat is running eastward at 2.74 m/s . Their 75.9 kg owner has the same momentum as the two pets taken together. Find the direction and magnitude of the owner's velocity.
A 19.0 kg dog is running northward at 2.14 m/s , while a 5.08 kg cat...

A 19.0 kg dog is running northward at 2.14 m/s , while a 5.08 kg cat is running eastward at 3.26 m/s . Their 71.7 kg owner has the same momentum as the two pets taken together. Find the direction AND magnitude of the owner's velocity.

P4.4 Calculate {a} the kinetic energy of an 85.0-kg athlete running at a speed of 10.0...

P4.4 Calculate {a} the kinetic energy of an 85.0-kg athlete running at a speed of 10.0 m/s and (b) the kinetic energy of a 60.0-kg cheetah running at 31.0 m/s. (c) Compare the kinetic energy of the cheetah to the kinetic energy of the athlete.
Problem 1 A dog starts running at a constant speed v0= 6 m/s. Initially, the dog...

Problem 1 A dog starts running at a constant speed v0= 6 m/s. Initially, the dog is at a distance d= 10 m from a window. The window is located at a height h= 20 m above the ground. On top of the window there is a plant pot of mass m = 3 kg. The pot falls from the window 2 seconds after the dog starts running. a) What is the speed (inm/s2) of the pot when it reaches...
A cat is walking along a hallway moving away from a sleeping dog. A graph of the distance between the cat and the...

A cat is walking along a hallway moving away from a sleeping dog. A graph of the distance between the cat and the dog as a function of time is shown to the right. A physics student uses 2) Distance, meters 20 the equation "rate times time equals distance" to calculate the speed of the cat at time 6 seconds: 16 12 distance / time 16.0 m/6s=2,667 m/s. rate 8 4 (a) What, if anything, is wrong with this calculation?...

Using backward induction, what is the solution to the same? RED GREEN CAT DOG CAT DOG...

Using backward induction, what is the solution to the same? RED GREEN CAT DOG CAT DOG HIGH LOW HIGH LOW HIGH LOW HIGH LOW (5, 2, 2) (4, 2, 1) (3, 1, 2) (3, 2, 1) (4,2,3) (4,1,2) (3,3,3) (2, 1, 4) Red-dog - high O А O А Red-dog-high B Red-dog - low Ос Red-cat - high O D Red-cat-low Ο Ε Green-dog - high דר Green-dog - low G Green-cat-high ОН Green - cat-low
(a) Find the linear momentum and kinetic energy of a bullet of mass 4.90 10-2 kg...

(a) Find the linear momentum and kinetic energy of a bullet of mass 4.90 10-2 kg moving at a speed of 315 m/s. linear momentum = kinetic energy = (b) Find the linear momentum and kinetic energy of a football player of mass 110 kg moving at a speed of 10.0 m/s. linear momentum = kinetic energy = (c) Find the linear momentum and kinetic energy of a truck of mass 1.00 104 kg moving at a speed of 20.5...
A block having a mass of 5 kg is initially moving at a speed of 10...

A block having a mass of 5 kg is initially moving at a speed of 10 m/s in the positive x-direction when it experiences a head on collision with a second block having a mass of 8 kg that was initially moving in the negative x-direction with a speed of 3 m/s. After the collision the velocity of the larger, 8 kg, block is observed to be 5 m/s in the positive x-direction. The situations before and after the collision...

In this code I have 3 racers running, dog, cat, and tigger. Dog and tigger are...

In this code I have 3 racers running, dog, cat, and tigger. Dog and tigger are at random speeds and the cat controlled by pressing a and s to move. Please just edit the code to include part E which is when one of the three racers reaches the finish line announce the winner. import java.awt.Color; import java.util.Random; public class RaceTrack{ public static void main(String[] args) { // EZ.initialize(680,680); // int...