Question

activity b (continued from previous page)
5 analyze look at the acceleration values.
a. how did doubling the force affect the acceleration of the cart?
b. a cart with two blocks and three fans has twice the mass as a cart with just three fans. how did doubling the mass affect the acceleration of the cart?
6 collect data select the description tab. on the simulation pane, turn on show mass. this lists the total mass of the cart. each fan exerts a force of 4.0 newtons (n). one newton is the force required to accelerate a 1 - kg object at a rate of 1 m/s².
for each combination, record the total force, total mass, and acceleration. on the last column, multiply the mass (m) and acceleration (a)
load # fans on force mass acceleration m · a
2 fans, 0 blocks 2 10.00 0.80 0.8
1 fan, 2 blocks 1 20. 0.20 0.7
3 fans, 1 block 3 15 0.80 0.72
what do you notice about the force and the product of mass and acceleration, ma?
7 draw conclusions newtons second law states that force is equal to mass times acceleration: f = ma. this law can be rearranged as a = f/m, or a = f ÷ m.
how does this experiment demonstrate newtons second law?
8 apply suppose the cart contains 2 fans and 3 blocks. recall that each fan supplies a force of 4.0 n. the total mass of the cart will be 22.5 kg.
what will be the acceleration of the cart? check your answer using the gizmo.

Explanation:

Explicación:

Paso 1: Aplicar la segunda ley de Newton

La segunda ley de Newton es $F = ma$, donde $F$ es la fuerza, $m$ es la masa y $a$ es la aceleración.

Paso 2: Resolver para la aceleración

Despejando $a$ de la fórmula $F = ma$, obtenemos $a=\frac{F}{m}$.

Paso 3: Calcular la fuerza total

Cada fan ejerce una fuerza de $4.0$ N. Si hay 2 fans, entonces $F_{total}=2\times4.0$ N = $8.0$ N.

Paso 4: Calcular la aceleración

Dado que $m = 22.5$ kg y $F = 8.0$ N, entonces $a=\frac{8.0}{22.5}\ m/s^{2}\approx0.36\ m/s^{2}$.

Respuesta:

$0.36\ m/s^{2}$

Answer:

Explicación:

Paso 1: Aplicar la segunda ley de Newton

La segunda ley de Newton es $F = ma$, donde $F$ es la fuerza, $m$ es la masa y $a$ es la aceleración.

Paso 2: Resolver para la aceleración

Despejando $a$ de la fórmula $F = ma$, obtenemos $a=\frac{F}{m}$.

Paso 3: Calcular la fuerza total

Cada fan ejerce una fuerza de $4.0$ N. Si hay 2 fans, entonces $F_{total}=2\times4.0$ N = $8.0$ N.

Paso 4: Calcular la aceleración

Dado que $m = 22.5$ kg y $F = 8.0$ N, entonces $a=\frac{8.0}{22.5}\ m/s^{2}\approx0.36\ m/s^{2}$.

Respuesta:

$0.36\ m/s^{2}$