Question

Which would require a greater force accelerating a 2 kg mass at 5 m/s2 or a 6 kg mass at 2 m/s2?​

Answer 1

Answer:

Second object : 2 Newtons

Explanation:

Given:

• Mass of the first object = m1 = 2 kg
• Mass of the second object = m2 = 6 kg
• Acceleration of first object = a1 = 5 m/s²
• Acceleration of the second object = a2 = 2 m/s²

To find:

• Which object would require a greater force, the mass of first object and mass of second object

Force = Mass×Acceleration

Force required for first object = 2×5

Force required for first object = 10 Newtons

Force required for second object:

Force = mass×acceleration

Force = 6×2

Force = 12 Newtons

The second object would require a greater amount of force

Force exceeding = (12-10) = 2 Newtons

Thw second object would require a greater amount of force dominating by 2 newtons

Answer 2

Explanation:

Relation between force and acceleration:

Force ∝ Acceleration

Force = Mass × Acceleration

Given: acceleration is 5 m/s² and mass is 2 kg.

1st condition:

Force = 2 × 5

Force = 10 N

Given: acceleration is 2 m/s² and mass is 6 kg.

2nd condition:

Force = 6 × 2

Force = 12 N

Greater the acceleration greater will be the force. As they are directly proportional to each other.

Hence, 6 kg mass at 2 m/s²; require a greater force.