Helping My Autistic Son with Momentum and Friction in a Dog's Movement

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A parent seeks assistance for their 16-year-old autistic son struggling with a physics problem involving a dog's momentum and friction. The scenario describes a dog with a mass of 113 g running at 2.00 m/s, stopping, sliding 80.0 cm, and then changing direction. The key formulas discussed include impulse (J=FΔt) and the relationship between force (F=ma) and acceleration (a=Δv/t). The discussion emphasizes the need to calculate acceleration and frictional force to solve the problem. Overall, the conversation aims to guide the son in applying these concepts to find the solution.
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Homework Statement


I don't know how to use this forum so here we go. My 16 year old autisitc son is stumped with this question. If anyone can help me send him in the right direction it would be great, I am lost.

dog with a mass of 113 g runs to the right at 2.00 m/s, sees a mouse stopes using paws, slides 80.0 cm during deceleration, dog turns and runs other direction, calculate the magnitudes of change in dog's momentum AND the average frictional force that brings about this change.

He can't figure out what formula to use and I have no idea, can anyone point me in the right direction?

what happened to 2+2=4?


Homework Equations






The Attempt at a Solution



total 1^p=0
slow down segment = 0.226ns
run in opposite direction segment = 0.226ns

help?
 
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Magnitude of the change in the dog's momentum basically means an Impulse. Which can be figured out using the formula J=FΔt.

J=Impulse aka the answer to the first question
F=force
Δt= Change in time

You have Δt but still need force.

F=ma

m=mass
a=acceleration

You have mass but still need acceleration

a=Δv/t

Δv=change in velocity
t=time

Hopefully you can work that out good luck and I will still be online for more question
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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