Question

which would require a greater force,accelerating a 10 g mass at 5m/s2 or a 20 g mass at 2m/s2?

Answer 1

We know that force = mass * acceeration

Therefore in first case,

Mass = 10 gram = 10/1000 kg = 0.01 kg                                    Acceleration = 5m/s2

Therefore force = mass * acceleration = 0.01 * 5 = 0.05 Newton (N) or 0.05 kg/m2

In second case

Mass = 20 gram = 20/1000 = 0.02 kg                                                    Acceleration = 2m/s2

Therefore force = mass * acceleration = 0.02 * 2 = 0.04 Newton (N) or 0.04 kg/m2

We find that a body of 20 gram accelerating 2m/s2 requires greater force as compared to body of 10 gram accelerating                   5m/s2 because force of 20 gram body is 0.04 kg/m2 which is less than force of 10 gram body (0.05 kg/m2)

Answer 2

Answer:

Explanation:

Solution :-

Given :-

Mass of the body A, m₁ = 10 g

= 10 × 10⁻³ kg

Mass of the body B, m₂ = 20 g

= 20 × 10⁻³ kg

Acceleration of body A, a₁ = 5 m/s²

Acceleration of body B, a₂ = 2 m/s²

To Calculate :-

Forces F(A) and F(B) and comparing them

Formula to be used :-

F = ma

Force of body A, F(A) = m₁a₁ =  10 × 10⁻³ × 5

F(A) = 5/100 = 0.05 N

Force of body B, F(B) = m₂a₂ =  20 × 10⁻³ × 2

F(B) = 4/100 = 0.04 N

Since F(A) > F(B), therefore, we need force to accelerate A of mass 10 g.