A cart is being pushed with a force of 20 N. According to Newton's second law of motion, what will happen to the cart's acceleration if the force is increased to 40 N?
According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force applied to it. In this case, if the force is increased from 20 N to 40 N, the net force on the cart will double. Consequently, the acceleration of the cart will also double.
According to Newton's second law of motion, the acceleration of an object is directly proportional to the force applied to it. Therefore, if the force is increased from 20 N to 40 N, the cart's acceleration will also increase.
According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The mathematical expression of this law is F = ma, where F is the net force, m is the mass, and a is the acceleration.
In this case, we have a cart being pushed with a force of 20 N. Let's assume the mass of the cart remains constant. Therefore, the net force acting on the cart can be written as 20 N = m * a, where m is the mass of the cart and a is the initial acceleration.
Now, if the force is increased to 40 N, we can write the new equation as 40 N = m * a'. Since the mass remains the same, we can compare the two equations:
20 N = m * a
40 N = m * a'
To find out what happens to the cart's acceleration when the force is increased, we can divide the second equation by the first equation:
40 N / 20 N = (m * a') / (m * a)
Simplifying the equation gives us:
2 = a' / a
This implies that the ratio of the new acceleration (a') to the initial acceleration (a) is 2. In other words, if the force is doubled (increased from 20 N to 40 N), the acceleration of the cart will also double.
Therefore, if the force acting on the cart is increased from 20 N to 40 N, the cart's acceleration will double according to Newton's second law of motion.