Question

A force of 5 N produces an acceleration of
8 m/s on a mass m, and an acceleration of
24 m/s on a mass m2. Find the acceleration
that the same force would provide if both
the masses are tied together.​

Answer 1

Explanation:

for first mass m1, F=5N. a= 8m/s²

since F=ma =>5=m1X8 =>m=5/8kg

for second mass m2, F=5N. a= 24m/s²

m2= 5/24kg

when both masses are tied together, that new mass will be m1+m2=5/8+5/24

=20/24=5/6kg

F=5N. m=5/6kg

F=ma =>5=5/6 X a => a=6m/s²

Answer 2

Hey mate here is your answer :----- 6m/s²

❤❤

Explanation:

Consider that there is three cases.....

In first case,

Given

F = 5N

a = 8m/s²

m = ?

To find mass of first body:-----

F = ma

5 = m × 8

5/8 = m

m = 5/8

m = 0.625 kg

In second case,

Given

F = 5N

a = 24m/s²

m = ?

To find mass of second body:-----

F = ma

5 = m × 24

5/24 = m

m = 5/24

m = 0.2083 kg

In third case,

If mass of 0.625kg and 0.2083kg are combined together, then the combined mass is equal to 0.8333kg...........

0.625 + 0.2083 = 0.8333

Given

F = 5N

m = 0.8333

a = ?

To find acceleration of combined masses:-----

F = ma

5 = 0.8333 × a

5/0.8333 = a

a = 5/0.8333

a = 6.0002400096............

a = 6m/s²

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