Calculating Net Force from Change in Velocity and Time

AI Thread Summary
To calculate the average net force acting on a 41 kg hatch that is thrown at 215 m/s and stops in 5.6 ms, the impulse/momentum principle and the formula F_net = ma can be applied. The mass of the hatch is known, but acceleration must be calculated using the change in velocity and time. The correct formula for acceleration is a = change in velocity / change in time, with time converted to seconds (0.0056 s). After calculating acceleration, it can be multiplied by the mass to find the net force. This approach will yield the magnitude of the average net force during the impact.
rcmango
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Homework Statement



A 41 kg hatch is thrown at a speed of 215 m/s and is immediately stopped once it hits something that lasts for a time of 5.6 ms.

So What is the magnitude of the average net force that acts on the hatch during the point that its hitting something?


Homework Equations





The Attempt at a Solution



where do i start?

please help me with this one.
 
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rcmango said:

Homework Statement



A 41 kg hatch is thrown at a speed of 215 m/s and is immediately stopped once it hits something that lasts for a time of 5.6 ms.

So What is the magnitude of the average net force that acts on the hatch during the point that its hitting something?


Homework Equations





The Attempt at a Solution



where do i start?

please help me with this one.
You should be familiar with the impulse/momentum equation. Or just use F_net=ma. Give it a try.
 
okay, so if i use the formula of F_net=ma

i don't know the net forces (Newtons)

i don't know the mass or the acceleration (m*a)

i do know the velocity and the time.

so must i use an equation to find the acceleration? so I'm closer to my answer?

what do i need to solve for next?
 
rcmango said:
okay, so if i use the formula of F_net=ma

i don't know the net forces (Newtons)

i don't know the mass or the acceleration (m*a)

i do know the velocity and the time.

so must i use an equation to find the acceleration? so I'm closer to my answer?

what do i need to solve for next?
The mass is given. What's the equation to use to find acceleration when the velocity change and time are known?
 
the formula is a = chng velocity / chng time

so a = 215 / 5.6 ?
 
rcmango said:
the formula is a = chng velocity / chng time

so a = 215 / 5.6 ?
watch units, the change in v is in m/s, and t is given in milliseconds(i.e., t =.0056 seconds).
 
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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