Calculate the average resultant force required to accelerate the ball.

AI Thread Summary
To calculate the average resultant force required to accelerate a 56 g tennis ball at 1000 m/s², the mass is converted to kilograms (0.056 kg). Using the formula F = MA, the resultant force is calculated as 56 N. The discussion raises a question about whether the term "average" affects the calculation, but it is clarified that no additional information is needed for this specific scenario. Concerns about gravity's impact on the average force are mentioned but ultimately deemed irrelevant for this calculation. The final answer remains 56 N as the average resultant force.
Meezus
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Homework Statement


A 56 g tennis ball is accelerated at 1000 m s-2 to reach its service velocity. Calculate the average resultant force required to accelerate the ball.

Homework Equations


F = MA

The Attempt at a Solution


Mass = 0.56g = 0.056kg
Acceleration = 1000m/s2

0.056 x 1000 = 56N.

Is this correct? I know this is how to calculate the resultant force but it asks for the average? Does that change anything. [/B]
 
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Do you have any additional information to average?
 
Bystander said:
Do you have any additional information to average?
Nope, that's the whole question.
 
... and, that is the whole answer.
 
Bystander said:
... and, that is the whole answer.
Ok thanks, I thought maybe gravity would have some impact here.
 
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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