Finding acceleration of an object given force and mass?

AI Thread Summary
To find the acceleration of an object given force and mass, the equation F=ma is used. In this case, a snooker ball with a mass of 100g (0.1kg) is struck by a cue, imparting a force of 20N. The calculation shows that acceleration is 20 m/s² when using the correct mass conversion. However, the expected answer is 200 m/s², indicating a possible misunderstanding in the mass conversion or application of the formula. Proper conversion from grams to kilograms requires dividing by 1000, which is crucial for accurate results.
Amelina Yoo
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Homework Statement


Snooker ball with mass 100g is struck by a billiard cue. Cue imparts a force of 20N to the ball and the duration of the impact is 0.01s.

Homework Equations


F=ma

The Attempt at a Solution


F=ma
20=1(a) *I converted 100g to 1kg*
a= 20ms(^-2)

The answers claim that the acceleration is 200ms^-2. Except, I do not know how they have come to this, and which conversions I got wrong. I also left 100g in grams, but still did not result in the given answer.

Thank you if you can help me :-)
 
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To convert from grams to kilograms, you need to divide the mass in grams by 1000.
 
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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