An upward force of 35 N is applied via a string to lift a ball with a mass of 2.1 kg.
(a) What is the net force acting upon the ball?
magnitude 1 N
direction 2 ---Select--- upward downward
(b) What is the acceleration of the ball?
magnitude 3 m/s2
direction 4 ---Select--- upward downward
(b) What is the acceleration of the ball if an upward force of 64 N is applied?
To determine the net force acting upon the ball, we need to consider the forces acting on it. In this case, there is an upward force of 35 N applied via the string, but there is also a downward force due to gravity pulling the ball downwards.
(a) Net force: To find the net force, we need to subtract the downward force (gravity) from the upward force applied by the string.
The downward force due to gravity can be calculated using the formula:
Force of gravity = mass x acceleration due to gravity
Given that the mass of the ball is 2.1 kg, and the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate:
Force of gravity = 2.1 kg x 9.8 m/s^2 = 20.58 N
Now, we can calculate the net force:
Net force = Upward force - Downward force
Net force = 35 N - 20.58 N = 14.42 N
Therefore, the net force acting upon the ball is 14.42 N.
The direction of the net force is upward since the upward force applied by the string is greater than the downward force due to gravity.
So, for (a):
magnitude: 14.42 N
direction: upward
(b) Acceleration: Using Newton's second law, we can calculate the acceleration of the ball using the formula:
Acceleration = Net force / Mass
Given that the net force is 14.42 N and the mass is 2.1 kg, we can calculate:
Acceleration = 14.42 N / 2.1 kg ≈ 6.87 m/s^2
Therefore, the acceleration of the ball is approximately 6.87 m/s^2.
The direction of acceleration is the same as the direction of the net force, which is upward.
So, for (b):
magnitude: 6.87 m/s^2
direction: upward