Ans: R = Ball Travelled = 92.15 meters.
Explanation:
First we need to derive that formula for the "range" in order to know how far the ball traveled before hitting the ground.
Along x-axis, equation would be:

Since there is no acceleration along x-direction; therefore,

Since

and

=0; therefore above equation becomes,

--- (A)
Now we need to find "t", and the time is not given. In order to do so, we shall use the y-direction motion equation. Before hitting the ground y ≈ 0 and a = -g; therefore,
=>

=>

Since

; therefore above equation becomes,

Put the value of t in equation (A):
(A) =>

Where x = Range = R, and

; therefore above equation becomes:
=>

Now, as:

and

°
and g = 9.8 m/(s^2)
Hence,
Ans: R = 92.15 meters.-i
<h2>
Answer: 1000 J</h2>
The Work
done by a Force
refers to the release of potential energy from a body that is moved by the application of that force to overcome a resistance along a path.
It should be noted that it is a scalar magnitude, and its unit in the International System of Units is the Joule (like energy). Therefore, 1 Joule is the work done by a force of 1 Newton when moving an object, in the direction of the force, along 1 meter:
Now, when the applied force is constant and the direction of the force and the direction of the movement are parallel, the equation to calculate it is:
(1)
When they are not parallel, both directions form an angle, let's call it
. In that case the expression to calculate the Work is:
(2)
For example, in order to push the 200 N box across the floor, you have to apply a force along the distance
to overcome the resistance of the weight of the box (its 200 N).
In this case both <u>(the force and the distance in the path) are parallel</u>, so the work
performed is the product of the force exerted to push the box
by the distance traveled
. as shown in equation (1).
Hence:
>>>>This is the work
Explanation:
It is given that,
The ramp is tilted upwards at 25 degrees and Paul is pulling a large crate up the ramp with a rope that angles 10° above the ramp.
Total angle with respect to ramp is 35 degrees.
If Paul pulls with a force of 550 N.
The horizontal component of the force is given by :



The vertical component of the force is given by :



Hence, this is the required solution.
Answer:
1. They should not trust this study. 2. Pseudoscience.
Explanation:
Because they drank the water and after 24 hours, they said that it was gone. Head aches go away sooner than that. Another reason is that some people could have lied about having a headache just so they could have the water or their headache could have gone away before they drank the water.
<span>In order to determine the wavelength, we use the wave equation:
speed = frequency * wavelength
speed of light c = 3 x 10</span>⁸<span> m/s
Frequency f = 104.1 MHz = 1.041 x 10</span>⁸ Hz<span>
c = f</span>λ
λ = c / f
λ = 3 x 10⁸ / 1.041 x 10⁸
λ = 2.88 meters
The wavelength of the waves is 2.88 meters.