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Physics: force and acceleration?
A force of 5N gives a mass M1 an acceleration of 8m/s^2 and a mass M2 an acceleration of 24 m/s^2. What acceleration would it give the two when they are fastened together?
Can someone show me step by step how to do this problem?
1 Answer
- Anonymous1 decade agoFavorite Answer
Hi!
I hope this will help you:
First there is the formula F=m.a (F is force, it's a vector quantity - that means it has a direction, and is therefore written with a small arrow above the letter, and so is a - the acceleration).
-substitute in the formula:
F=5N
F=m1.a1
5N=m1.8m/s^2
m=F/a
m1= 5/8 =0,625kg
F=5N
F=m2.a2
5N=m2.24m/s^2
m=F/a
m2=5/24
m~0,208kg
-calculate the mass of the two bodies fastened together:
m=m1 + m2
m=0,625 + 0,208
m~0,833kg
-calculate the acceleration:
a=F/m
a=5N/0,833kg
a~6m/s^2
Good luck :)