Chasing a cart down an incline

In summary, Jill is at a grocery store parking lot with a 3 degree tilted hill. A fully loaded shopping cart with frictionless wheels is let go 50 meters downhill from her. Jill sprints after the cart with a top acceleration of 2 m/s^2. To determine how far the cart rolled before Jill catches it, the formula x = x_0 + v_0*t + 1/2at² can be used. Jill's initial position and velocity is zero, while the cart's initial velocity is zero and initial position is 50 meters down the hill. The cart's acceleration is 9.81sin(3°) due to gravity.
  • #1
stangeroo
13
0
Jill has just gotten out of her car in the grocery store parking lot. The parking lot is on a hill and is tilted 3 degrees. Fifty meters downhill from Jill, a little old lady let's go of a fully loaded shopping cart. The cart, with frictionless wheels, starts to roll straight downhill. Jill immediately starts to sprint after the cart with her top acceleration of 2 m/s^2

How far has the cart rolled before jill catches it?

I know you need to set two formulas equal to each other, but I don't know which formulas :cry:

EDIT: I started off by drawing it out and taking the sin of 3 degrees, .0523 and multiplying it by 9.8 to get the acceleration of the cart, I don't know where to go from there
 
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  • #2
bump, anyone
 
  • #3
the cart's acceleration is NOT 9.81 but 9.81sin(3°)

Jill's initial position and velocity is ZERO, her acceleration is 2 + 9.81sin(3°) due to gravity also.

For the cart : initial velocity is zero; initial position is 50 (i assume the 50m downward is along the hill and not measured horizontally)...This is all you need

Use x = x_0 + v_0*t + 1/2at²

where x_0 is initial position and v_0 is initial velocity
marlon
 
Last edited:

What is "chasing a cart down an incline"?

"Chasing a cart down an incline" refers to the scientific experiment of studying the motion of a cart on an inclined plane. This experiment is often used to demonstrate the concepts of force, motion, and acceleration.

Why is "chasing a cart down an incline" an important experiment?

This experiment is important because it allows for the study of the relationship between force, motion, and acceleration in a controlled and observable manner. It also helps to illustrate the principles of gravity and friction.

How is "chasing a cart down an incline" conducted?

The experiment involves placing a cart on an inclined plane and releasing it from the top. The cart is then allowed to roll down the incline due to the force of gravity. The motion of the cart is recorded and analyzed to understand the effects of different variables such as the angle of the incline or the mass of the cart.

What factors affect the motion of the cart in "chasing a cart down an incline"?

The motion of the cart can be affected by various factors such as the angle of the incline, the mass of the cart, the presence of external forces like friction, and the starting position of the cart. These factors can be manipulated to observe their effects on the motion of the cart.

What can be learned from "chasing a cart down an incline" experiment?

This experiment can help to understand the relationship between force, motion, and acceleration. It can also demonstrate how different variables can affect the motion of an object and how gravity and friction play a role in this motion. Additionally, this experiment can also help to develop critical thinking and problem-solving skills in the field of science.

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