Question

Which would require greater force acceleration 0.6 kg mass at 4 m/s 2 or 6 kg mass at 3m/s 2?​

Answer 1

Answer:

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Answer 2

Answer:

• The force required to produce an acceleration of $4\ m/s^{2}$ in a mass  $0.6\ kg$ will be $2.4 N$

• The force required to produce an acceleration of $3\ m/s^{2}$ in a mass $6\ kg$ will be $18\ N$

• So the second case requires more force.

Explanation:

According to Newton's second law of motion,

Force applied (F) will be the product of the mass(m) of the object and its acceleration(a).

It can be expressed as,

$F = ma$   ...(1)

For case :1

In the question, it is given that,

$m = 0.6\ kg$

$a = 4\ m/s^{2}$

Substitute these values into equation(1),

$F = 0.6\times 4 = 2.4\ N$

For case :2

From the question,

$m = 6\ kg$

$a = 3\ m/s^{2}$

Substitute these values into equation(1),

$F = 6\times 3 = 18\ N$

So the second case requires more force.