Final answer:
The acceleration of an object can be calculated using Newton's second law of motion. When the same force is applied to objects with different masses, the object with less mass will experience a greater acceleration.
Step-by-step explanation:
To calculate the acceleration of an object, we can use Newton's second law of motion, which states that the force on an object is equal to its mass multiplied by its acceleration. The formula is: F = m * a, where F is the force, m is the mass, and a is the acceleration.
(a) For the first question, we are given a force of 60 N and a mass of 6 kg. Plugging in these values into the formula, we get: 60 N = 6 kg * a. Solving for a, we find that the acceleration is 10 m/s².
(b) For the second question, we have the same force of 60 N but a mass of 10 kg. Plugging these values into the formula, we get: 60 N = 10 kg * a. Solving for a, we find that the acceleration is 6 m/s².
(c) When the same amount of force is applied to objects with different masses, the object with less mass will be accelerated more. This is because the force is being spread out over a smaller mass, resulting in a larger acceleration. In other words, the less massive object will experience a greater change in its motion due to the same force.