A force F with arrow applied to an object of mass m1 produces an acceleration of 3.40 m/s2. The same force applied to a second object of mass

acceleration
objectof-massm1

#1

A force F with arrow applied to an object of mass m1 produces an acceleration of 3.40 m/s2. The same force applied to a second object of mass m2 produces an acceleration of 1.40 m/s2.
(a) What is the value of the ratio m1/m2?

(b) If m1 and m2 are combined into one object, find its acceleration under the action of the force F with arrow.
m/s2

Answer:

a)F1=m1a1=m13.40
F2=m2a2=m21.40
same force is acted on m1 and m2
m13.40=m21.40
m1/m2=1.40/3.40
m1/m2=7/17
it means m1=7kg, m2=17kg
b)Force acted on m1 F=73.40=23.8 kg m/s^2
m1+m2=7+17=24 kgs.
F=ma
23.8=24
a
a=23.8/24
a=0.9916 m/s^2