When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 35 kg, the acceleration of the object is 2 m/s~
. To find the acceleration of the object with mass 45 kg when the same constant force is applied, we can use the formula for acceleration:
acceleration = force / mass
Given that the force is constant, we can set up a proportion to find the acceleration of the object with mass 45 kg:
2 m/s^2 = force / 35 kg
Solving for the force gives us:
force = 2 m/s^2 * 35 kg = 70 N
Now we can use this force value to find the acceleration of the object with mass 45 kg:
acceleration = 70 N / 45 kg = 1.56 m/s^2
Therefore, the acceleration of the object with mass 45 kg under the same constant force is 1.56 m/s^2.