Calculating Impulse for a Leaping Cricket: A Physics Problem

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In summary, the problem involves a 20 g cricket making a 2.2 m leap with an initial velocity at a 28° angle from the horizontal direction. The question asks for the magnitude of the impulse of the total force on the cricket, given that it takes 0.010 seconds to leave the ground. To solve this, one must first calculate the speed needed for the jump using projectile motion formulas, and then use that information to determine the impulse.
  • #1
sealedhuman77
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Homework Statement


A 20 g cricket (Acheta domestica) leaps through a 2.2 m horizontal distance. The initial velocity of the cricket makes a 28° angle with the horizontal direction. If it takes the cricket 0.010 s to leave the ground, what is the magnitude of the impulse of the total force on the cricket that gives it the speed needed for the jump?


Homework Equations


I = F[tex]\Delta[/tex]t = [tex]\Delta[/tex]p
Motion formulas


The Attempt at a Solution


Did not know how to approach problem

THanks
 
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  • #2
First solve the projectile motion problem: How fast must the cricket leap at the given angle to reach 2.2m?

Then you can worry about the needed impulse.
 
  • #3
Thanks I got it now.
 

1. What is the "Cricket bat impulse problem"?

The "Cricket bat impulse problem" refers to the physics concept of impulse, which is the change in momentum of an object, specifically in the context of a cricket bat hitting a ball. It is a common problem used in physics classes to demonstrate the principles of momentum and impulse.

2. How is impulse related to the "Cricket bat impulse problem"?

In the "Cricket bat impulse problem", impulse is the force applied to the ball by the cricket bat over a very short period of time. It is calculated by multiplying the force applied by the time of impact. This impulse causes a change in the momentum of the ball, resulting in it being hit and moving in a different direction.

3. What factors affect the impulse in the "Cricket bat impulse problem"?

The two main factors that affect the impulse in the "Cricket bat impulse problem" are the force applied by the bat and the time of impact. The harder the bat hits the ball and the longer the time of impact, the greater the impulse and the greater the change in momentum of the ball.

4. How is the "Cricket bat impulse problem" used in real life?

The "Cricket bat impulse problem" has practical applications in sports such as cricket and baseball, where players use bats to hit balls. It is also used in engineering and design, as understanding impulse and momentum is important in creating effective and safe structures, such as car bumpers.

5. What are some common misconceptions about the "Cricket bat impulse problem"?

One common misconception is that the force applied by the bat is the only factor that affects the impulse. In reality, the time of impact also plays a crucial role. Another misconception is that the speed of the bat is the same as the speed of the ball after impact. In fact, due to conservation of momentum, the speed of the ball will be less than the speed of the bat.

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