Question

what force is necessary to accelerate a man with mass of 117kg at a rate of 3.0m/s²?
answer:
check
13
what is are units for your answer?
select one:
a. kg
b. n
c. m/s²
check

Explanation:

Step1: Recall Newton's Second Law

Newton's second law states that force \( F \) is equal to mass \( m \) multiplied by acceleration \( a \), so the formula is \( F = m \times a \).

Step2: Identify given values

The mass \( m = 117 \, \text{kg} \) and the acceleration \( a = 3.0 \, \text{m/s}^2 \).

Step3: Calculate the force

Substitute the values into the formula: \( F = 117 \, \text{kg} \times 3.0 \, \text{m/s}^2 = 351 \, \text{N} \) (since \( 1 \, \text{N} = 1 \, \text{kg} \cdot \text{m/s}^2 \)).

For the units question:

Step1: Recall force unit

Force is measured in Newtons (N), where \( 1 \, \text{N} = 1 \, \text{kg} \cdot \text{m/s}^2 \). Kilograms (kg) are for mass, and \( \text{m/s}^2 \) are for acceleration. So the unit for force is N.

Answer:

For the force calculation: 351 N
For the units question: b. N