Question

Which would require a greater force — accelerating a 2 kg mass at 5m/s or 4 kg at 2m/s ?

Answer 1

Answer:

YOUR ANSWER IS ACCELERATING A 2Kg MASS AT 5m/s^2 would require a greater force.

Answer 2

Given Question:

Which would require a greater force — accelerating a 2 kg mass at 5m/s or 4 kg at 2m/s ?

Required Answer:

• 2kg of mass would require a greater force.

How?

We know that,

• Force is the product of mass and acceleration.
• To find which would require a greater force we need to find how much force both will require.

Calculating force required for accelerating a 2kg mass at 5m/s-

$\purple \bigstar$ ${\boxed {\large {\tt { F = ma}}}}$

Where,

• F = force
• m = mass
• a = acceleration

Therefore,

$\large \tt \blue { F = ma}$

$\large \tt { \implies F = 2 \times 5 }$

$\large \tt { \implies F = 10 N }$

Now, Calculating force required for accelerating a 4kg mass at 2m/s-

$\purple \bigstar$ ${\boxed {\large {\tt { F = ma}}}}$

Therefore,

$\large \tt \blue { F = ma}$

$\large \tt { \implies F = 4 \times 2}$

$\large \tt { \implies F = 8 N }$

_____

${\boxed {\large {\tt {\red { 10N > 8N}}}}}$

Hence, mass of 2kg will require a greater force.