# How Far Will a 30 kg Cart Move in 3 Seconds with a 10 N Push?

• MHB
• karush
In summary, a shopper in a supermarket is pushing a loaded cart with a horizontal force of 10 N. The cart has a mass of 30 kg and will move approximately 3 meters in 3 seconds starting from rest. This is based on the equations F=ma and x=xo+vo+t+1/2at^2, assuming constant acceleration and no friction.
karush
Gold Member
MHB
$\tiny{cp 3.6.11}$
$\textsf{A shopper in a supermarket pushes a loaded cart with a horizontal force of 10 N.}$
$\textsf{If the cart has a mass of 30 kg,}$
$\textit{a. how far will it move in 3s starting from rest }$
\begin{align*}\displaystyle
ma&=F \\
a&=\frac{F}{m} \\
&=\frac{10N}{30 \, kg} \\
&=.333 \, m/s^2\\
x&=x_o + v_o t+\frac{1}{2}at^2 \\
&=0+0+(.333 \, m/s^2) \cdot (3 s)^2 \\
&\approx \color{red}{3 \, m}
\end{align*}ok I think this is ok
but the notation could be better
so suggestions

Thought Questions:

1) Where did the 1/2 go?
2) Are you SURE the acceleration is constant?
3) No friction at all?

## 1. What is the significance of the number "3.6.11" in the title?

The number "3.6.11" refers to the problem number or chapter number in a specific physics textbook or curriculum. It is used to organize and differentiate between different problems or topics within the subject.

## 2. How is the horizontal force of 10 N determined?

The horizontal force of 10 N is determined by measuring the amount of force applied in the horizontal direction on the loaded cart. This can be done using a force meter or by calculating the force based on the mass of the cart and its acceleration.

## 3. What does the letter "Cp" stand for in the title?

The letter "Cp" stands for "Concepts and Principles", indicating that the problem involves understanding and applying fundamental concepts and principles of physics.

## 4. Is the loaded cart moving at a constant speed?

Based on the information given, we cannot determine if the loaded cart is moving at a constant speed. The horizontal force of 10 N could be accelerating the cart, causing it to move at a changing speed.

## 5. What other factors may affect the movement of the loaded cart?

Other factors that may affect the movement of the loaded cart include the mass of the cart, the surface it is being pushed on, and any friction or resistance present. Additionally, the direction and angle of the force applied may also impact the movement of the cart.

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