A baseball with mass of 0.145 kg is thrown straight down at the ground. At a particular speed, it has a drag force of 0.4 N acting on it. What is its acceleration at that time?
-2.8m/s^2
.145 * 9.81 - .4 = 1.022 N down
a = F/m = 1.022/.145 = 7.05 m/s^2 down I get
Why did the baseball bring a parachute to the game? Because it wanted to "drag" the game out a little longer! But seriously, let's calculate the acceleration.
The drag force acting on the baseball is given as 0.4 N. Now, we can use Newton's second law, F = m*a, where F is the force, m is the mass, and a is the acceleration.
Since the drag force is acting downward, we can write it as F = -0.4 N (negative sign indicates the opposite direction of motion). The mass of the baseball is given as 0.145 kg.
So, -0.4 N = 0.145 kg * a.
Now we can solve for the acceleration, a:
a = (-0.4 N) / (0.145 kg)
a ≈ -2.76 m/s²
So, the acceleration of the baseball at that time is approximately -2.8 m/s². Keep in mind that the negative sign indicates that the acceleration is in the opposite direction of the initial motion of the baseball (downward).
To find the acceleration of the baseball, we will use 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.
We can use the formula:
net force = mass × acceleration
In this case, the net force acting on the baseball is given by the drag force, which is 0.4 N.
So we have:
0.4 N = 0.145 kg × acceleration
Now we can solve for acceleration:
acceleration = 0.4 N / 0.145 kg
acceleration ≈ 2.76 m/s²
Therefore, the acceleration of the baseball is approximately 2.76 m/s².
To find the acceleration of the baseball, we can use Newton's second law, which states that the net force acting on an object is equal to the product of its mass and acceleration. In this case, we have a downward force due to gravity and an upward force due to the drag force acting on the baseball.
The downward force due to gravity can be calculated using the formula:
Force_gravity = mass * acceleration due to gravity
The drag force is given as 0.4 N in the opposite direction of the baseball's motion.
Since the ball is moving straight down, the net force can be calculated as:
Net_force = Force_gravity - Drag_force
Once we have the net force, we can use Newton's second law to find the acceleration:
Net_force = mass * acceleration
Given:
Mass (m) = 0.145 kg
Drag force (F_drag) = 0.4 N
Acceleration due to gravity (g) is approximately 9.8 m/s².
First, we can find the gravitational force acting on the baseball:
Force_gravity = 0.145 kg * 9.8 m/s² = 1.421 N
Now, we can calculate the net force:
Net_force = Force_gravity - Drag_force = 1.421 N - 0.4 N = 1.021 N
Finally, we can find the acceleration by rearranging Newton's second law equation:
Acceleration = Net_force / mass = 1.021 N / 0.145 kg ≈ -2.8 m/s²
So, the acceleration of the baseball at the given speed with a drag force of 0.4 N is approximately -2.8 m/s². The negative sign indicates that the acceleration is in the opposite direction to the motion, which is expected in this case since the drag force is opposing the motion of the baseball.