In a shipping company distribution center, an open cart of mass 50 kg is rolling to...

In a shipping company distribution center, an open cart of mass 50 kg is rolling to the left at a speed of 5 m/s. You can ignore friction between the cart and the floor. A 15 kg package slides down a chute that makes an angle of 27 degrees below the horizontal. The package leaves the chute with a speed of 3 m/s, and lands in the cart after falling for 0.75 seconds. The package comes to a stop in the cart after 4 seconds. What is:

a) the speed of the package just before it lands in the cart?

b) the final speed of the cart (+ package)?

Imagine now that the package landed on a scale mounted in the bottom of the cart and came to a stop on the scale in a time interval of 0.1 seconds, maintaining contact with the scale this whole time of 0.1 seconds.

a) the average scale reading during the landing of the package?

b) the final speed of the cart (+ package)?

Please provide reasonings, details of equations, etc.

Solutions

Expert Solution

genius_generous answered 1 year ago

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