An 93-g arrow is fired from a bow whose string exerts an average force of 105...

Question

Question

An 93-g arrow is fired from a bow whose string exerts an average force of 105 N on the arrow over a distance of 73 cm .

What is the speed of the arrow as it leaves the bow?

Answer 1

Answer #1

Work done by the bow = 105 x 0.73 =

This workdone gets converted into the kinetic energy of the arrow. Let the speed of the arrow as it leaves the bow is ' v ' .

So, the kinetic energy of the arrow is

Where, m is mass of the arrow

Now from conservation of energy , we can write

or,

Hence, the speed of the arrow as it leaves the bow is 40.6 m/s .

For any doubt please comment.

Add a comment

Answer 2

Similar Homework Help Questions

A 65-g arrow is fired from a bow whose string exerts an average force of 200...

A 65-g arrow is fired from a bow whose string exerts an average force of 200 N on the arrow over a distance of 80 cm. What is the speed of the arrow as it leaves the bow?
12) An 85 g arrow is fired from a bow whose string exerts an average force...

12) An 85 g arrow is fired from a bow whose string exerts an average force of 105 N on the arrow over a distance of 75 cm. What is the speed of the arrow as it leaves the bow? 8 A) 40.0 m/s B) 43.0 m/s C) 45.5 m/s D) 50.2 m/s E) 39.4 m/s
An 94-g arrow is fired from a bow whose string exerts an average force of 130...

An 94-g arrow is fired from a bow whose string exerts an average force of 130 N on the arrow over a distance of 74 cm . Part A What is the speed of the arrow as it leaves the bow? Express your answer to two significant figures and include the appropriate units.

An 85-g arrow is fired from a bow whose string exerts an average force of 110...

An 85-g arrow is fired from a bow whose string exerts an average force of 110 N on the arrow over a distance of 83 cm . What is the speed of the arrow as it leaves the bow? Express your answer to two significant figures and include the appropriate units. PLEASE BOX ANSWER.
An 82 g arrow is fired from a bow whose string exerts an average force of 95 N on the arrow over a distance of 85 cm....

An 82 g arrow is fired from a bow whose string exerts an average force of 95 N on the arrow over a distance of 85 cm. What is the speed of the arrow as it leaves the bow? Express as m/s
A 11g arrow is fired from a bow whose string exerts an average force of 61n...

A 11g arrow is fired from a bow whose string exerts an average force of 61n on a arrow over a distance of 18cm. what is the speed of the arrow when it leaves the bow?

A 0.0850-kg arrow is fired horizontally. If the bowstring exerts an average force of 89.0 N...

A 0.0850-kg arrow is fired horizontally. If the bowstring exerts an average force of 89.0 N on the arrow over a distance of 0.782 m, with what speed does the arrow leave the bow?
When an archer pulls an arrow back in his bow, he is storing potential energy in...

When an archer pulls an arrow back in his bow, he is storing potential energy in the stretched bow. (a) Compute the potential energy stored in the bow, if the arrow of mass 5.05 10-2 kg leaves the bow with a speed of 32.0 m/s. Assume that mechanical energy is conserved. (b) What average force must the archer exert in stretching the bow if he pulls the string back a distance of 30.0 cm?
An 18.0-gram arrow is shot from a compound bow. It travels the 0.980 m length of...

An 18.0-gram arrow is shot from a compound bow. It travels the 0.980 m length of the bow with an average force of 125 N. The arrow enters a foam target. Embedding itself 11.2 cm into the target. What is the average force on the arrow by the foam target.

An 150 gram arrow is fired straight up with an acceleration of 200 m/s 2 a)...

An 150 gram arrow is fired straight up with an acceleration of 200 m/s 2 a) What force is applied to the arrow? b) IF the arrow leaves the bow at a speed at 50 m/s determine the maximum height the arrow reaches? c) If the bow accelerates the arrow for 0.25s. How far did the arrow move during that time? Is this a reasonable number (why or why not)?