Two objects exert forces on each other. The first object has a mass of 30 kg and accelerates at 2m/s^2 to the east.The second object has a mass of 10 kg. If no other forces are acting on the objects what is the acceleration of the second object?

To find the acceleration of the second object, we can use Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. This means that the force exerted by the first object on the second object is equal in magnitude and opposite in direction to the force exerted by the second object on the first object.<br /><br />First, let's calculate the force exerted by the first object on the second object using the formula:<br /><br />\[ F = m \cdot a \]<br /><br />where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration.<br /><br />For the first object:<br />\[ F = 30 \, \text{kg} \times 2 \, \text{m/s}^2 = 60 \, \text{N} \]<br /><br />According to Newton's third law, the force exerted by the second object on the first object is also \( 60 \, \text{N} \), but in the opposite direction.<br /><br />Now, we can use this force to find the acceleration of the second object:<br /><br />\[ a = \frac{F}{m} \]<br /><br />For the second object:<br />\[ a = \frac{60 \, \text{N}}{10 \, \text{kg}} = 6 \, \text{m/s}^2 \]<br /><br />Therefore, the acceleration of the second object is \( 6 \, \text{m/s}^2 \) to the west.