Answer:
t = 4.08 s
R = 40.8 m
Explanation:
The question is asking us to solve for the time of flight and the range of the rock.
Let's start by finding the total time it takes for the rock to land on the ground. We can use this constant acceleration kinematic equation to solve for the displacement in the y-direction:
We have these known variables:
- (v_0)_y = 0 m/s
- a_y = -9.8 m/s²
- Δx_y = -20 m
And we are trying to solve for t (time). Therefore, we can plug these values into the equation and solve for t.
- -20 = 0t + 1/2(-9.8)t²
- -20 = 1/2(-9.8)t²
- -20 = -4.9t²
- t = 4.08 sec
The time it takes for the rock to reach the ground is 4.08 seconds.
Now we can use this time in order to solve for the displacement in the x-direction. We will be using the same equation, but this time it will be in terms of the x-direction.
List out known variables:
- v_0 = 10 m/s
- t = 4.08 s
- a_x = 0 m/s
We are trying to solve for:
By using the same equation, we can plug these known values into it and solve for Δx.
- Δx = 10 * 4.08 + 1/2(0)(4.08)²
- Δx = 10 * 4.08
- Δx = 40.8 m
The rock lands 40.8 m from the base of the cliff.
As per Newton's law of inertia we can say every object will move in its state of motion either in the state of rest or will move with same constant velocity until some unbalanced external force will act upon it
so here we have to fill the space which says that stationary object can start or moving object will change its direction only in which case
so here the correct answer should be Unbalanced Force condition we will obtain such situation.
so we have
<u>Unbalance force</u> can cause a stationary object to start moving or a moving object to change its speed or direction or both.
Answer:
<em>The rock reaches a maximum height of 442.225 m and was thrown at a speed of 93.1 m/s</em>
Explanation:
<u>Vertical Launch</u>
The rock is launched up with a certain speed vo, it reaches its highest point at a height h when the speed is zero, and then it stars a free-fall motion until it hits the ground at time t.
The maximum height is given by
The rock takes the same time to reach this point as to return to the ground, thus we can calculate the maximum height
The rock was thrown up at a speed
C.an equal and opposite reaction
Answer:
During start total turns
After half of the time total turns
Total number of turns during it stop
After half of the time total turns
Explanation:
Initially the machine is at rest and then starts rotating with speed 3550 rev/min
now we will have
now we know that it took 10 s to reach the speed
so angular acceleration is given as
now it stops in 31 s so the angular deceleration is given as
now initially number of turn to reach the given speed
number of turns during it stop
Now during startup speed after t = 5 s is given as
now during it stop the speed after half the time is given as
now the number of turns is given as