Question

force calculation
problem: a car has a mass of 1,000 kg and accelerates at 3 m/s². what is the force applied to the car?
datos

• m = 1,000 kg
• a = 3 m/s²
• f =

fórmulas
f = m·a
sustitución
f = (1,000 kg)·(3 m/s²)
= 3,000 kg·m/s²
= 3,000 n
resultado
f = 3,000 n

aceleration calculation
problem: what is the acceleration of a wagon of mass 20 kg if a horizontal force of 64 n is applied to it?
datos

• m = 20 kg
• f = 64 n
• a =

fórmula
f = m·a
(f)/(m) = (m·a)/(m)
f/m = (m·a)/m
f/m = a
sustitución
a = 64 n / 20 kg
a = 3.2 m/s²
where:
n = kg·m/s²
n/kg = (kg·m/s²)/kg
resultado
f = 3.2 m/s²

mass calculation
problem: the number it appears on a scale when a person stands on it is f = 87 n, if the acceleration of the earth is a = 9,81 m/s², calculate the mass of the person.
datos

• f = 87 n
• a = 9,81 m/s²
• m =

fórmula
f = m·a
f/(a) = (m·a)/(a)
f/a = (m·a)/a
f/a = m
sustitución
m = 87 n / 9,81 m/s²
m = 8.868 kg
where:
n = kg·m/s²
n/m/s² = (kg·m/s²)/m/s²
resultado
m = 8.868 kg

Explanation:

Step1: Identificar la fórmula

La fórmula para calcular la masa a partir de la fuerza y la aceleración es \( m=\frac{F}{a} \), derivada de la segunda ley de Newton \( F = m \cdot a \).

Step2: Sustituir los valores

Tenemos \( F = 87\ N \) y \( a = 9,81\ m/s^2 \). Sustituimos en la fórmula: \( m=\frac{87\ N}{9,81\ m/s^2} \).

Step3: Realizar el cálculo

Al dividir \( 87 \) entre \( 9,81 \), obtenemos \( m \approx 8,868\ kg \).

Answer:

\( m = 8,868\ kg \)