# Solving Dynamics Homework: Frictionless Ramp & 5.0kg Block

• StarMetroid
In summary, a flat-bed truck with a frictionless ramp is accelerating forward, causing a 5.0kg block to remain stationary on the hypotenuse at a 35 degree angle. With a rolling coefficient of friction of 0.10, the force exerted by the engine on the 12000kg truck is 11760 Newtons.
StarMetroid

## Homework Statement

A flat-bed truck with a frictionless ramp accelerates forward.

/l (That 35 is the angle, and a 5kg block rests on the hypotenuse)
--- / l
- - /35 l
- ---------------
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-o-----------0--

The acceleration of the truck is suck that a 5.0kg block is stationary (relative to the ramp). If the rolling coefficient of friction is (mew=0.10) Find the force the engine is exerting on the 12000kg truck.

## Homework Equations

F=ma, Ffriction=Fnormal*mew

## The Attempt at a Solution

I found the block accelerates 9.8m/s^2 downwards and 13.98m/s^2 to the left, ant the total acceration is 17.1m/s^2

I found the force of friction on the truck (12000*9.8*0.1) to be 11760Netwons.

## 1. What is a frictionless ramp?

A frictionless ramp is a ramp or incline that has no resistance or friction between its surface and the object moving on it. This means that the object will not experience any force that opposes its motion, allowing it to move freely without any external force acting on it.

## 2. How is friction calculated on a frictionless ramp?

Since a frictionless ramp has no friction, there is no need to calculate it. Friction is a force that only exists when there is resistance between two surfaces, and since there is no resistance on a frictionless ramp, there is no friction to calculate.

## 3. What is the weight of a 5.0kg block on a frictionless ramp?

The weight of a 5.0kg block on a frictionless ramp is still 5.0kg. The weight of an object is determined by its mass and the force of gravity, which are both constant and do not change on a frictionless ramp.

## 4. How does a frictionless ramp affect the motion of a 5.0kg block?

A frictionless ramp will allow the 5.0kg block to move down the ramp without any resistance, meaning it will accelerate at a constant rate due to the force of gravity. The block will continue to move at a constant speed unless acted upon by an external force.

## 5. Are there any real-life examples of a frictionless ramp?

In theory, a perfectly frictionless ramp does not exist as there will always be some small amount of friction present. However, frictionless ramps can be simulated in certain situations, such as in experiments involving air tracks or ice surfaces. These simulations allow for the study of motion without the interference of friction.

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