When the body is thrown up, it slows down withAcceleration g? 9.8 m / s?, Due to gravitational attraction of the Earth. That's why at some point in time the thrown body stops and starts moving backwards, down.
The distance from the point of change of the direction of movement of the body to the surface of the Earth and will be equal to the maximum height of the lift.
You will need
- - stopwatch-
- - radar-
- - calculator-
- - goniometer.
Find the maximum height of the body lifting, thrownUp using a stopwatch. It does not matter whether the body is thrown vertically upward or at an angle to the horizon. With the help of a stopwatch, note the time that the body was in flight. Measure the time in seconds. Since half the time spent in flight the body rises, the second half is lowered, divide the obtained value by 2.
Calculate the maximum lifting height of the body H. To do this, draw a divided by 2 flight time t squared. The resulting value multiplied by the acceleration of gravity g? 9,8 m / s ?, and divide the result by the number 2, H = g? T? / 2. The height will be in meters.
Example. After the throw from the surface of the Earth, the body fell on it again in 4 seconds, at what maximum height did it rise? Find the time for lifting the body to its maximum height. It is equal to half the total time of motion 4/2 = 2 s. Substitute the value in the formula H = g? T? / 2 = 9,8? 2? / 2? 20 m. If higher accuracy is not required, the value of acceleration of gravity can be taken as 10 m / s ?.
Determine the maximum lifting height of the body, ifIts initial velocity is known. It can be measured with a special radar. In some devices, it was originally known. In the event that the body is launched vertically upward with the initial velocity v0, in order to find the maximum lifting height of this body, divide the square of this initial velocity by twice the value of the acceleration of gravity, H = v0? / 2? G. The speed should be measured in meters per second.
Find the maximum height of the body lifting,The initial velocity v0 of which is directed at an angle to the horizon. When calculating, take into account that only the vertical velocity component is responsible for lifting the body, which is equal to v0y = v0? Sin (?), Where? - The angle to the horizon, under which the body began its movement, measure it with a protractor. Then, to calculate the maximum lifting height of the body, we can use the formula described in the previous paragraph, and the resulting result is multiplied by the sine?, Squared H = (v0? / 2? G)? Sin? (?).