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?
(b) What is the acceleration of the ball?
(a) Fnet = 35 - M*g = 35 - 20.58 = 14.42 N
(b) Fnet/M = 1.47 m/s^2 (up)
14.50
To determine the net force acting upon the ball, we need to consider both the applied force and the force due to gravity.
(a) The force due to gravity can be calculated using the formula:
force due to gravity = mass * acceleration due to gravity
where the acceleration due to gravity is approximately 9.8 m/s^2.
force due to gravity = 2.1 kg * 9.8 m/s^2 ā 20.58 N
The net force acting upon the ball is the difference between the applied force and the force due to gravity:
net force = applied force - force due to gravity
net force = 35 N - 20.58 N ā 14.42 N
Therefore, the net force acting upon the ball is approximately 14.42 N.
(b) To find the acceleration of the ball, we can use Newton's second law of motion, which states that the acceleration of an object is equal to the net force divided by the mass of the object.
acceleration = net force / mass
acceleration = 14.42 N / 2.1 kg ā 6.87 m/s^2
Therefore, the ball is experiencing an acceleration of approximately 6.87 m/s^2.
To find the answers to these questions, we need to apply Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration.
(a) What is the net force acting upon the ball?
The net force acting on the ball can be calculated using the formula: net force = applied force - weight. The weight of an object can be found by multiplying its mass by the acceleration due to gravity, which is approximately 9.8 m/s^2.
First, let's find the weight of the ball: weight = mass * acceleration due to gravity
weight = 2.1 kg * 9.8 m/s^2 = 20.58 N
Next, let's find the net force acting on the ball: net force = applied force - weight
net force = 35 N - 20.58 N = 14.42 N
Therefore, the net force acting upon the ball is 14.42 N.
(b) What is the acceleration of the ball?
To find the acceleration of the ball, we use Newton's second law: net force = mass * acceleration. Rearranging the formula, we can solve for acceleration: acceleration = net force / mass.
Substituting the values we found earlier:
acceleration = 14.42 N / 2.1 kg = 6.87 m/s^2
Therefore, the acceleration of the ball is 6.87 m/s^2.