Question

A force of 40 N, when applied on an object, produces an acceleration of 8 m/s2. How much force is required to produced the same acceleration when another object of identical mass is tied to that object?

Answer 1

Answer:

From Newton's second law of motion, the applied force is directly proportional to the acceleration produced or F=ma

The unit of force is newton in SI denoted by the symbol N.

Forces acting on a mass m

1

with acceleration a

1

and mass m

2

with acceleration a

2

are as given below.

m

1

=

a

1

F

=

8

5

kg.

m

2

=

a

2

F

=

24

5

kg.

M=(

8

5

+

24

5

)kg=(

6

5

)kg

Acceleration produced in M (when the two masses are tied together),

a=

M

F

=

6

5

5

=6 ms

−2