Solving Equation for Homework: What Equation to Use?

AI Thread Summary
To calculate how long it takes the Acme Tractor Beam to stop a baseball with a mass of 0.144 kg moving at 8 m/s, the impulse equation FΔt=Δp is appropriate. The initial momentum of the baseball is 1.152 kg·m/s, and applying the force of 1.2 N results in a time of 0.96 seconds to stop the baseball. The discussion highlights the importance of considering the direction of force and momentum signs in calculations. The initial confusion arose from a miscommunication regarding the problem's formatting, confirming that the first attempt was indeed correct. The final conclusion is that the time to stop the baseball is approximately 0.96 seconds.
Ashleykins
Messages
6
Reaction score
0

Homework Statement


You are observing a baseball in space, with mass m = 0.144 kg. It is moving past your spacecraft with speed v = 8 m/sec, to the north. Your Acme Tractor Beam can exert 1.2 Newtons of pull force on that baseball.
CALCULATE: How long will it take your Acme Tractor Beam to slow down the baseball to a stop?

Homework Equations


I'm pretty sure I used the wrong equations. For the first time, I used the impulse equation FΔt=Δp
So with this one, to calculate Δp I took mass (.144) x velocity (8m/s) and got 1.152
So 1.152=(1.2N)Δt. I divided both sides by 1.2 to get Δt=.96
This was incorrect.

On the second attempt, I tried another equation. F(m/v) and got .0216. This was also wrong.

The Attempt at a Solution


See above!

Please help me figure out what equation I should be using!
 
Physics news on Phys.org
Hello. Welcome to PF!

Your first method looks correct as long as you can assume that the force on the ball due to the tractor beam is always toward the south. You should add units to your answer. (When you're in a spaceship in space, it's not clear what "north" means. But I guess we can just ignore that.)

It is a good exercise to think about how the signs work out here. If you take north as the positive direction then the initial momentum is positive and the final momentum is zero. So, Δp is negative.

For your second attempt, how do you justify the expression F(m/v)?
 
How is 0.96s incorrect ?
 
Last edited:
Thank you for helping! My prof just sent out an email that this question was not formatted correctly, so it looks like my first attempt was actually right. :)
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top