Problemas
Answer the question below. Assuming you have average strength (say, F=6500 Newtons) can you lift (or move a distance)a 160 kg object with your bare hands?If not, what will you do to lift it? Can you do 1600 Joules of work on it?Elaborate your answer.
Solución
Gerardoexperto · Tutor durante 3 años
Verificación de expertos
4.4 (223 votos)
Responder
To determine if you can lift a 160 kg object with your bare hands, we need to consider the force required to lift it. The gravitational force acting on the object is given by:<br /><br />\[ F_{\text{gravity}} = m \cdot g \]<br /><br />where \( m = 160 \, \text{kg} \) is the mass of the object and \( g = 9.8 \, \text{m/s}^2 \) is the acceleration due to gravity.<br /><br />\[ F_{\text{gravity}} = 160 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 1568 \, \text{N} \]<br /><br />Since your average strength is \( 6500 \, \text{N} \), which is greater than \( 1568 \, \text{N} \), you can lift the object with your bare hands.<br /><br />Next, to determine if you can do 1600 Joules of work on it, we use the formula for work:<br /><br />\[ W = F \cdot d \]<br /><br />where \( W \) is the work done, \( F \) is the force applied, and \( d \) is the distance over which the force is applied. If you apply a force equal to the gravitational force (1568 N) to lift the object vertically, you can calculate the distance \( d \) needed to perform 1600 Joules of work:<br /><br />\[ 1600 \, \text{J} = 1568 \, \text{N} \cdot d \]<br /><br />\[ d = \frac{1600 \, \text{J}}{1568 \, \text{N}} \approx 1.02 \, \text{m} \]<br /><br />Therefore, you can do 1600 Joules of work on the object by lifting it approximately 1.02 meters vertically.
Haz clic para calificar: