Answer:
A. 50 m/s
Explanation:
So, we know that at the highest point of the cannonball’s path the y-component of the velocity is 0 since the projectile is not moving in that axis momentarily. We can set the following equation at that instant:
Now that we found the y-component of the cannonball’s initial velocity, we can also find how much time it takes the projectile to reach the maximum height point, using the following equation:
We already stablished that in this point vy = 0. In that case:
In the cannonball’s path, the maximum height point is in the middle point of the total x displacement. In other words, the projectile takes about 2t to touch the ground. That means that for the projectile to reach x=240 m, it requires t = 2*4s = 8 s. now, we proceed and calculate the x-component of the initial velocity, using the following equation:
The projectile started at the point of reference, so we consider x0 = 0. Also, the velocity of the projectile maintains constant along the x-axis, so we consider ax=0 as well. Therefore, we have that:
The magnitude of the initial velocity can be found using the Pythagorean Theorem
So, the cannonball must be thrown with an initial velocity of 50 m/s to reach an height of 80 m and a displacement on the x-axis of 240 m
The distance traveled by the box over the first 4 s is 16 m.
To solve the problem above, First, we apply newton's Fundamental equation of force.
<h3 /><h3>Newton's fundamental equation of force:</h3>
F = ma...................... Equation 1
Where
- F = Force
- m = mass of the box
- a = acceleration
make "a " the subject of the equation
a = F/m...................... Equation 2
From the question,
Given:
Substitute these values into equation 2
a = 10/5
a = 2 m/s²
Finally, we use the equation of motion to calculate the distance it will travel over the given period of time.
<h3><u>Equation of motion</u></h3>
s = ut+at²/2........................... Equation 3
Where:
- s = total distance traveled
- t = time
- u = initial velocity
Given:
- t = 4 s
- u = 0 m/s (at rest)
Substitute these values into equation 3
- s = 0(4)+(2×4²)/2
- s = 0+32/2
- s = 16 m
Hence, the distance traveled by the box over the first 4 s is 16 m
Learn more about Newton's fundamental equation here: brainly.com/question/13370981
Answer:
Volume flow rate 
meter cube per second
Explanation:
As we know that the
Pressure at the two ends would be the same along with volume of flow.
i.e
and
Re arranging the file, we get -
The flow equation is
Substituting the value of 
in above equation, we get -
Substituting the given values in above equation we get
Volume flow rate
Complete question is;
When you ride a bicycle, in what direction is the angular velocity of the wheels? A) to your left B) to your right C) forwards D) backwards
Answer:
Option A - to your left
Explanation:
While an object rotates, each particle will have a different velocity:
the 'Speed' component will vary with radius while the 'Direction' component will vary with angle.
All of the velocity vectors are aligned in the same plane.
We can be solve this by choosing a single vector normal to ALL of the possible velocity vectors of the rotating object in that plane.
This convention used is known as "Right-hand rule". The angular velocity vector points along the wheel's axle. For instance, if you Imagine wrapping your right hand around the axle so that your fingers point in the direction of rotation, with your thumb sticking out. You will notice that your thumb points to the left.
Thus;
By right-hand rule, a wheel rotating on a forward - moving bicycle has an angular velocity vector pointing to the rider's left.
So, option A is the correct answer
Answer:
carpet
Explanation:
Diffuse reflection is the reflection of light from a surface such that an incident ray is reflected at many angles rather than at just one angle as in the case of specular reflection.
The structure of carpet's surface is as shown. Thus it shows large amount of diffuse reflection.
