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28 Given: F=200N m=40kg Find a. A 8000m/s^2 B 0.2m/s^2 C 5m/s^2 D 160m/s^2

Pergunta

28
Given:
F=200N
m=40kg
Find a.
A 8000m/s^2
B 0.2m/s^2
C 5m/s^2
D 160m/s^2

28 Given: F=200N m=40kg Find a. A 8000m/s^2 B 0.2m/s^2 C 5m/s^2 D 160m/s^2

Solução

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GracielaProfissional · Tutor por 6 anos

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To find the acceleration \( a \), we can use 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. The formula for this law is:<br /><br />\[ F = ma \]<br /><br />where:<br />- \( F \) is the force applied (in newtons, N),<br />- \( m \) is the mass of the object (in kilograms, kg),<br />- \( a \) is the acceleration (in meters per second squared, \( m/s^2 \)).<br /><br />Given:<br />- \( F = 200 \, \text{N} \)<br />- \( m = 40 \, \text{kg} \)<br /><br />We need to solve for \( a \):<br /><br />\[ a = \frac{F}{m} \]<br /><br />Substitute the given values into the equation:<br /><br />\[ a = \frac{200 \, \text{N}}{40 \, \text{kg}} \]<br /><br />\[ a = 5 \, \text{m/s}^2 \]<br /><br />So, the correct answer is:<br /><br />C \( 5 \, \text{m/s}^2 \)
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