Answer:
a = 2.22 [m/s^2]
Explanation:
First we have to convert from kilometers per hour to meters per second
We have to use the following kinematics equation:
where:
Vf = final velocity = 11.11 [m/s]
Vi = initial velocity = 0
a = acceleration [m/s^2]
t = time = 5 [s]
The initial speed is taken as zero, as the car starts from zero.
11.11 = 0 + (a*5)
a = 2.22 [m/s^2]
Answer:
a
b
Explanation:
From the question we are told that
The initial position of the particle is
The initial velocity of the particle is
The acceleration is
The time duration is
Generally from kinematic equation
=>
=>
Generally from kinematic equation
Here s is the distance covered by the particle, so
=>
Generally the final position of the particle is
=>
=>
Answer:
Explanation:
Given
mass
(inclination)=
Let T be the tension in the rope
From Diagram
-----------------1
where
For block
-----------2
From 1 & 2
<h2>
<u>How</u><u> </u><u>to</u><u> </u><u>solve</u><u>?</u></h2>
We know that, Velocity is the rate of displacement covered. Displacement is the shortest path between the Initial and Final point covered by the body. So,
- Velocity = Displacement / Time
And, when it comes to Average velocity, It is the total displacement by total time taken. So, By using this let's solve this question.....
<h2>
<u>Solution</u><u>:</u></h2>
✏️ Refer to the attachment...
Let the body goes to point A that is 7 m East of the Initial point. Then it comes backward because West is opposite to East in perpendicular direction. It covers 1.5 m backwards in the same line to reach B which is the Final point.
So,
- Displacement = Final point - Initial point
⇛ Displacement = 7 m - 1.5 m
⇛ Displacement = 5.5 m
Total time taken,
⇛ 2 hours + 1 hour
⇛ 3 hours
Finding Average displacement,
⇛ Total displacement / Total time taken
⇛ 5.5 m / 3 hours
⇛ 1.83333.... hours
So, the Final answer is,
<u>━━━━━━━━━━━━━━━━━━━━</u>
Answer:
The sketch for the Gravitational force F and the potential energy U are attached to this answer.
Explanation:
To obtain the gravitational force, we can consider the gravitational field GF(r) as:
To calculate the gravitational field we can use the Gauss theorem. By considering a homogeneous mass of the sphere (constant density) and the spherical symmetry, we can determinate than the gravitational field direction is .
Considering a constant density:
Applying a spherical gaussian surface for different radius r:
for R<b:
for b<R<a:
for a<R:
For the potential energy you can integrate the field to obtain the gravitational potential and the multiplying for the particle mass:
for a<R:
for b≤R≤a:
for R≤b: