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.
Answer:
8.66m/s2
Explanation:
from newton second laws F=ma
the force down the plane is the component force along the plane which is mgsin₩ so there fore
a= gsin₩ = 10sin60= 8.66m/s2
here the answer to your question hope it helps you
electric circuit
As per the question the volume of mercury is given as 0.002 m^3 at 20 degree Celsius.
We are asked to calculate the volume of the mercury at 50 degree Celsius.
This problem is based on thermal expansion of matter.
Let us consider the initial and final volume of the mercury is denoted as -
Let the initial and final temperature of the mercury is denoted as -
As per question
The change in temperature is
Mercury is a fluid.So we have to apply volume expansion of liquid .
The coefficient of of volume expansion of mercury at 20 degree Celsius is 0.00018 per centigrade.
As per volume expansion of liquid,
Here is the volume at T degree Celsius.
Hence volume at 50 degree Celsius is calculated as-
[ans]
As per the options given in the question ,option A is close to the calculated value. So option A is right.