find the resultant force on a .150kg baseball if gravity is pulling down and it is hit at a 45 degree angle with 50N of force by a baseball bat.
m*g = 0.15 * 9.8 = 1.47 N. = Force of
gravity.
Fr = -1.47i + 50N[45o] =
-1.47i + 50*cos45 + (50*sin45)i =
-1.47i + 35.36 + 35.36i=35.36 + 33.89i =
49N[43.8o].
To find the resultant force on the baseball, we need to combine the force of gravity and the force applied by the bat.
First, let's break down the forces into their components. The force of gravity acts straight downward, while the force applied by the bat is at a 45-degree angle relative to the horizontal axis.
1. Force of Gravity:
The force of gravity on an object can be calculated using the formula:
Force_gravity = mass × acceleration due to gravity
Given that the mass of the baseball is 0.15 kg and the acceleration due to gravity is approximately 9.8 m/s², we can calculate the force of gravity:
Force_gravity = 0.15 kg × 9.8 m/s²
2. Force Applied by the Bat:
Since the force of the bat is at a 45-degree angle relative to the horizontal axis, we need to find its vertical and horizontal components. To do so, we can use trigonometry.
Horizontal component:
Force_bat_horizontal = Force_bat × cos(angle)
Given that the Force_bat is 50 N and angle is 45 degrees, we can calculate the horizontal component:
Force_bat_horizontal = 50 N × cos(45°)
Vertical component:
Force_bat_vertical = Force_bat × sin(angle)
Given that the Force_bat is 50 N and angle is 45 degrees, we can calculate the vertical component:
Force_bat_vertical = 50 N × sin(45°)
Now, by combining the vertical components of the force of gravity and the force applied by the bat, we get the net vertical force on the baseball:
Net_force_vertical = Force_gravity + Force_bat_vertical
Similarly, by combining the horizontal components of the force of gravity and the force applied by the bat, we get the net horizontal force on the baseball:
Net_force_horizontal = Force_bat_horizontal
Finally, we can calculate the magnitude and direction of the resultant force using these vertical and horizontal components:
Resultant_force = √(Net_force_vertical^2 + Net_force_horizontal^2)
Using these formulas and calculations, you should be able to find the resultant force on the baseball.