Question

A football is kicked with a velocity of 31 m/s at an angle of 41a box of mass 14 kg sits on an inclined surface with an angle of 52 degrees. what is the component of the weight of the box along the surface?. what is the ball's acceleration in the vertical direction as it flies through the air?

a. -9.8 m/s²
b. 0 m/s²
c. -20.3 m/s²
d. 23.4 m/s²

Answer 1

To find the component of the weight of the box along the surface, use trigonometry. The ball's acceleration in the vertical direction as it flies through the air is -9.8 m/s².

Step-by-step explanation:

To find the component of the weight of the box along the surface, we need to use trigonometry. We can use the formula:

Component of Weight = Weight * sin(angle)

Given that the weight of the box is equal to the mass times the acceleration due to gravity, and the angle of the surface is 52 degrees, we can plug in the values and calculate the component of the weight along the surface.

For the ball's acceleration in the vertical direction as it flies through the air, we know that the only force acting on the ball in the vertical direction is gravity. Therefore, the ball's acceleration in the vertical direction is equal to the acceleration due to gravity, which is -9.8 m/s².

So the component of the weight of the box along the surface is approximately -20.3 m/s², and the ball's acceleration in the vertical direction as it flies through the air is -9.8 m/s².