Chapter 3, Problem 3.50P

Interpretation Introduction

(a)

Interpretation:

Calculate the force exerting on the cover before they were removed. Explain what happens when the last bolt is removed. Justify your decision.Calculate the initial acceleration of the cover.

Concept introduction:

The net force exerted on the cover can be calculated using a force balance as follows,

$Netforce=Forceduetogas-Forceduetoatmosphericpressure-Forceduetoweightof\mathrm{cov}er$

Calculate each force separately and substitute the values to above equation.

In addition, initial acceleration can be calculated using the Newton’s Second Law,

Newton’s Second Law is defined asthe force (F) acting on an object is equal to the mass (m) of an object times its acceleration (a). This written as,

$F=ma$

Interpretation Introduction

(b)

Interpretation:

Propose an alteration to prevent this kind of accidents.

Concept introduction:

The net force exerted on the cover can be calculated using a force balance as follows,

$\text{Net}\text{force}\text{=}\text{Force}\text{due}\text{to}\text{gas}\text{-}\text{Force}\text{due}\text{to}\text{atmospheric}\text{pressure}\text{-}\text{Force}\text{due}\text{to}\text{weight}\text{of}\text{cover}$

Calculate each force separately and substitute the values to above equation.

In addition, initial acceleration can be calculated using the Newton’s Second Law,

Newton’s Second Law is defined asthe force (F) acting on an object is equal to the mass (m) of an object times its acceleration (a). This written as,

$F=ma$