the horizontal or x component of the ball's acceleration is 870 m/s2 and the vertical or y component of its acceleration is 1500 m/s2. The ball's mass is 0.33 kg.
To solve this problem, we need to split the acceleration vector into its horizontal and vertical components. Let me explain how to do that.
The horizontal component of acceleration is the acceleration in the x-direction, denoted as "ax," while the vertical component of acceleration is the acceleration in the y-direction, denoted as "ay". Given that ax = 870 m/s^2 and ay = 1500 m/s^2, we have all the information needed to proceed.
Now, let's calculate the net force acting on the ball. The net force can be calculated by multiplying the mass of the ball (m) by its acceleration. In this case, the mass of the ball is given as 0.33 kg.
The net force acting on the ball in the x-direction (Fx) can be found using the formula:
Fx = m * ax
Substituting the given values, we have:
Fx = 0.33 kg * 870 m/s^2
Calculating the result gives:
Fx = 287.1 N
Similarly, the net force acting on the ball in the y-direction (Fy) can be found using the formula:
Fy = m * ay
Substituting the given values, we have:
Fy = 0.33 kg * 1500 m/s^2
Calculating the result gives:
Fy = 495 N
So, we have found that the net force acting on the ball in the x-direction is 287.1 N, and in the y-direction is 495 N.