Q. 51

Expert-verified
Found in: Page 258

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A freight company uses a compressed spring to shoot packages up a -high frictionless ramp into a truck, as FIGURE shows. The spring constant is and the spring is compressed . a. What is the speed of the package when it reaches the truck? b. A careless worker spills his soda on the ramp. This creates a -long sticky spot with a coefficient of kinetic friction . Will the next package make it into the truck?

(a) The speed of the package when it reaches the truck is .

(b) The package will not make it to the truck.

See the step by step solution

## Step 1: Given information (part a)

It is given that a freight company uses a compressed spring to shoot packages up a high frictionless ramp into a truck.

The spring constant is given as and the spring is compressed .

If soda is spilled on the ramp, it creates a long sticky spot with a coefficient of kinetic friction

## Step 2: Explanation (part a)

Let v be the velocity of the package. When the spring is compressed, by the conservation of energy the kinetic energy transfers into the potential energy.

The speed of the package when it reaches the truck is

## Step 3: Given information (part b)

A freight company uses a compressed spring to shoot packages up a high friction-less ramp into a truck. The spring constant is and the spring is compressed . If soda is spilled on the ramp, it creates a long sticky spot with a coefficient of kinetic friction

## Step 4: Explanation (part b)

The energy that is stored in the spring will be transferred to the package and will be used in doing work against the force of gravity and the friction force.

The work done in making the package onto the ramp is given as :

Since , the package will not make it to the truck.