# Starting from rest several toy cars roll down ramps at different

• grasjm36
In summary, several toy cars roll down ramps of different lengths and angles. According to the conversation, Car A goes down a 10m ramp inclined at 15 degrees, Car B goes down a 10m ramp inclined at 20 degrees, Car C goes down an 8m ramp inclined at 20 degrees, and Car D goes down a 12m ramp inclined at 12 degrees. The velocity at the bottom of the incline is independent of the angle of inclination and length of the ramp, which follows from the conservation of energy. It is also important to note that the speed immediately after leaving the ramp is less than the speed immediately before leaving the ramp, regardless of the angle or length of the ramp.
grasjm36
Starting from rest several toy cars roll down ramps at different lengths and angles. Rank them according to their speed at the bottom of the ramp from slowest to fastest. Car A goes down a 10m ramp inclined at 15 degrees, Car B goes down a 10 m ramp inclined at 20 degrees, car C goes down a 8 m ramp inclined at 20 degrees and Car D coes down a 12 m ramp inclines at 12.

Welcome to PF.
Velocity at the bottom of an incline is independent of angle of inclination and length of inclines.

thank you

Always Game.

physixguru said:
Welcome to PF.
Velocity at the bottom of an incline is independent of angle of inclination and length of inclines.

? Can you explain?

physixguru said:
Velocity at the bottom of an incline is independent of angle of inclination and length of inclines.

(physixguru means length as opposed to height.)

Hint: this follows from conservation of energy - can you see why?

Also, don't forget that that's only half the problem: the speed immediately after leaving the ramp (on the horizontal ground) is a lot less than the speed immediately before leaving the ramp (that's pretty obvious if the ramp is almost vertical, but it's still true for small angles).

## 1. What is the concept of starting from rest in physics?

The concept of starting from rest in physics refers to the initial state of an object where it is stationary and has zero velocity. This means that the object is not moving and has no speed or direction.

## 2. How do toy cars rolling down ramps demonstrate the concept of starting from rest?

Toy cars rolling down ramps demonstrate the concept of starting from rest because at the top of the ramp, the cars are not moving and have zero velocity. As they roll down the ramp, they gain speed and velocity due to the force of gravity pulling them downwards.

## 3. Why do the toy cars start from rest on the ramps?

The toy cars start from rest on the ramps because they are initially placed at the top of the ramp with no external force acting on them. This means that they have zero velocity and are not moving until the force of gravity begins to pull them downwards.

## 4. How does the height of the ramp affect the speed of the toy cars?

The height of the ramp affects the speed of the toy cars because the higher the ramp, the greater the potential energy the cars have. As they roll down the ramp, this potential energy is converted into kinetic energy, which results in the cars having a higher speed at the bottom of the ramp.

## 5. What other factors can affect the movement of the toy cars down the ramps?

Aside from the height of the ramp, other factors that can affect the movement of the toy cars down the ramps include the angle of the ramp, the mass of the cars, and the surface of the ramp itself. These factors can all influence the force of gravity and the friction acting on the cars, which ultimately affects their speed and movement.

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