Problemas
3. An object with a mass of 1500 g (grams) accelerates 10.0m/s^2 when an unknown.force is applied to it. What is the amount of the force? __
Solución
Francomaestro · Tutor durante 5 años
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3.8 (186 votos)
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The amount of the force applied to the object is 15 N.
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## Step 1<br />The problem involves the application of Newton's Second Law of Motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration. This is mathematically represented as:<br />### \( F = m \times a \)<br />where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration.<br /><br />## Step 2<br />In this problem, the mass of the object is given as 1500 grams. However, the standard unit of mass in physics is kilograms (kg). Therefore, we need to convert the mass from grams to kilograms. We know that 1 kg is equal to 1000 grams. So, we divide the given mass by 1000 to convert it to kilograms.<br />### \( m = \frac{1500}{1000} = 1.5 \) kg<br /><br />## Step 3<br />The acceleration of the object is given as \( 10.0 \, m/s^2 \).<br /><br />## Step 4<br />Now, we can substitute the values of mass and acceleration into the formula to find the force.<br />### \( F = m \times a = 1.5 \, kg \times 10.0 \, m/s^2 = 15 \, N \)
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