Question

An object moving along a horizontal surface approaches the bottom of a ramp. at the very bottom of the ramp, point a, its speed is 40 m/s. the object goes up the ramp and reverses direction at point b. what is the height oinclination is 30°. neglect friction and use g = 10 m/s2.

Answer 1

To find the height of the incline, we can use the given information and apply Newton's laws of motion. The object is initially moving along a horizontal surface with a speed of 40 m/s. As it goes up the ramp, it slows down and reverses direction at point B. Neglecting friction and using the value of acceleration due to gravity (g = 10 m/s^2), we can use the equations of motion to find the height of the incline.

Step-by-step explanation:

To find the height of the incline, we can use the given information and apply Newton's laws of motion. The object is initially moving along a horizontal surface with a speed of 40 m/s. As it goes up the ramp, it slows down and reverses direction at point B. Neglecting friction and using the value of acceleration due to gravity (g = 10 m/s^2), we can use the equations of motion to find the height of the incline.

Let's denote the height of the incline as h. When the object reaches point B, its velocity becomes 0 m/s. We can use the equation for final velocity (vf) in terms of initial velocity (vi), acceleration (a), and displacement (d):

vf^2 = vi^2 + 2ad

Substituting the given values, we have:

0^2 = 40^2 - 2(10)h

Simplifying the equation:

1600 - 20h = 0

20h = 1600

h = 80 m

Therefore, the height of the incline is 80 meters.