Animesh Raj

California Institute of Technology
Tutor

Biography

I am currently pursuing my Bachelor's degree at NIT Rourkela.

Education

BS Mathematics
California Institute of Technology

Educator Statistics

Numerade tutor for 5 years
1818 Students Helped

Topics Covered

Mastering Motion: Achieving Efficiency Along a Straight Line
Unlocking the Power of Potential Energy: Discover the Benefits
Save Energy and Money with Effective Conservation Techniques
Motion in 2d or 3d
Master the Fundamentals of Physics: Learn Physics Basics
Mastering the Rotation of Rigid Bodies: Tips & Techniques
Explore the Fascinating Dynamics of Rotational Motion
Understanding Equilibrium and Elasticity: A Comprehensive Guide

Animesh's Textbook Answer Videos

01:54
Physics Principles with Applications

(II) Graphically determine the resultant of the following three vector displacements: $(1) 34 \mathrm{m}, 25^{\circ}$ north of east; (2) $48 \mathrm{m}, 33^{\circ}$ east of north; and $(3) 22 \mathrm{m}, 56^{\circ}$ west of south.

Chapter 3: Kinematics in Two Dimensions; Vectors
Animesh Raj
10:47
Fundamentals of Physics

A particle can move along only an $x$ axis, where conservative forces act on it (Fig. 8 - 66 and the following table). The particle is released at $x=5.00 \mathrm{~m}$ with a kinetic energy of $K=14.0 \mathrm{~J}$ and a potential energy of $U=0 .$ If its motion is in the negative direction of the $x$ axis, what are its (a) $K$ and (b) $U$ at $x=2.00 \mathrm{~m}$ and its (c) $K$ and $($ d) $U$ at $x=0 ?$ If its motion is in the positive direction of the $x$ axis, what are its (e) $K$ and (f) $U$ at $x=11.0 \mathrm{~m}$, its (g) $K$ and (h) $U$ at $x=12.0 \mathrm{~m},$ and its $(\mathrm{i}) K$ and (j) $U$ at $x=13.0 \mathrm{~m} ?$ (k) Plot $U(x)$ versus $x$ for the range $x=0$ to $x=13.0 \mathrm{~m}$

Chapter 8: Potential Energy and Conservation of Energy
Animesh Raj
11:00
Fundamentals of Physics

Next, the particle is released from rest at $x=0 .$ What are (l) its kinetic energy at $x=5.0 \mathrm{~m}$ and $(\mathrm{m})$ the maximum positive position $x_{\max }$ it reaches? (n) What does the particle do after it reaches $x_{\max } ?$
$$
\begin{array}{lc}
{\text { Range }} & \text { Force } \\
\hline 0 \text { to } 2.00 \mathrm{~m} & \vec{F}_{1}=+(3.00 \mathrm{~N}) \hat{\mathrm{i}} \\
2.00 \mathrm{~m} \text { to } 3.00 \mathrm{~m} & \vec{F}_{2}=+(5.00 \mathrm{~N}) \hat{\mathrm{i}} \\
3.00 \mathrm{~m} \text { to } 8.00 \mathrm{~m} & F=0 \\
8.00 \mathrm{~m} \text { to } 11.0 \mathrm{~m} & \vec{F}_{3}=-(4.00 \mathrm{~N}) \hat{\mathrm{i}} \\
11.0 \mathrm{~m} \text { to } 12.0 \mathrm{~m} & \vec{F}_{4}=-(1.00 \mathrm{~N}) \hat{\mathrm{i}} \\
12.0 \mathrm{~m} \text { to } 15.0 \mathrm{~m} & F=0
\end{array}
$$
For the arrangement of forces in Problem $81,$ a $2.00 \mathrm{~kg}$ particle is released at $x=5.00 \mathrm{~m}$ with an initial velocity of $3.45 \mathrm{~m} / \mathrm{s}$ in the negative direction of the $x$ axis. (a) If the particle can reach $x=0 \mathrm{~m},$ what is its speed there, and if it cannot, what is its turning point? Suppose, instead, the particle is headed in the positive $x$ direction when it is released at $x=5.00 \mathrm{~m}$ at speed $3.45 \mathrm{~m} / \mathrm{s} .$ (b) If the particle can reach $x=13.0 \mathrm{~m},$ what is its speed there, and if it cannot, what is its turning point?

Chapter 8: Potential Energy and Conservation of Energy
Animesh Raj
11:13
Fundamentals of Physics

110 A $5.0 \mathrm{~kg}$ block is projected at $5.0 \mathrm{~m} / \mathrm{s}$ up a plane that is inclined at $30^{\circ}$ with the horizontal. How far up along the plane does the block go (a) if the plane is frictionless and (b) if the coefficient of kinetic friction between the block and the plane is $0.40 ?$ (c) In the latter case, what is the increase in thermal energy of block and plane during the block's ascent? (d) If the block then slides back down against the frictional force, what is the block's speed when it reaches the original projection point?

Chapter 8: Potential Energy and Conservation of Energy
Animesh Raj
10:32
Fundamentals of Physics

A spring with spring constant $k=200 \mathrm{~N} / \mathrm{m}$ is suspended vertically with its upper end fixed to the ceiling and its lower end at position $y=0 .$ A block of weight $20 \mathrm{~N}$ is attached to the lower end, held still for a moment, and then released. What are (a) the kinetic energy $K,$ (b) the change (from the initial value) in the gravitational potential energy $\Delta U_{g},$ and $(\mathrm{c})$ the change in the elastic potential energy $\Delta U_{e}$ of the spring-block system when the block is at $y=-5.0 \mathrm{~cm} ?$ What are $(\mathrm{d}) K,(\mathrm{e}) \Delta U_{g},$ and $(\mathrm{f}) \Delta U_{e}$ when $y=-10 \mathrm{~cm},(\mathrm{~g}) K,(\mathrm{~h}) \Delta U_{g},$ and
(i) $\Delta U_{e}$ when $y=-15 \mathrm{~cm}$
and $(\mathrm{j}) K,(\mathrm{k}) \Delta U_{g},$ and
(l) $\Delta U_{e}$ when $y=-20 \mathrm{~cm} ?$

Chapter 8: Potential Energy and Conservation of Energy
Animesh Raj
1 2 3

Animesh's Quick Ask Videos

07:25
Physics 101 Mechanics

1. As a baseball is being thrown, it goes from 0.0 to 40.0 m/s in 0.36 s. (a) What is the acceleration of the baseball? (b) What is the acceleration in g's?
2. A child sits on the edge of a spinning merry-go-round that has a radius of 2.2 m. The child's speed is 5 m/s. What is the child's acceleration?
3. During a NASCAR race, a car goes 60 m/s around a curved section of track that has a radius of 240 m. What is the car's acceleration?
4. Initially stationary (the train starts at rest), a train has a constant acceleration of 0.2 m/s^2. (a) What is its speed after 40 s? (b) What would be the total time it would take to reach a speed of 20 m/s?
5. A rock is dropped off the side of a bridge and hits the water below 3.1 s later. (a) What was the rock's velocity when it hit the water? (b) What was the rock's average velocity as it fell? (c) What is the height of the bridge above the water?
6. During takeoff, an airplane goes from 0 to 30 m/s in 9 s. (a) What is its acceleration? (b) How fast is it going after 7 s? (c) How far has it traveled by the time it reaches 30 m/s?
7. A high-performance sports car can go from 0 to 100 mph in 6.0 s. (Assume the car travels in the positive direction. Indicate the direction with the sign of your answer.) (a) What is the car's average acceleration (in SI units; meter-kilogram-second)? (b) The same car can come to a complete stop from 27 m/s in 4.3 s. What is its average acceleration?
8. A passenger jet flies from one airport to another 1,373 miles away in 2.3 h. Find its average speed in the mks system of units.

Animesh Raj
03:26
Physics 101 Mechanics

a. A block of mass 1.29 kg is placed on a frictionless floor and initially pushed northward, whereupon it begins sliding with a constant speed of 3.32 m/s. It eventually collides with a second, stationary block, of mass 3.23 kg, head-on, and rebounds back to the south. The collision is 100% elastic. What will be the speeds of the 1.29-kg and 3.23-kg blocks, respectively, after this collision?
a. 0.57 m/s and 1.54 m/s
b. 1.42 m/s and 1.90 m/s
c. 1.90 m/s and 1.42 m/s
d. 1.84 m/s and 1.66 m/s

b. Same situation as before. This time it's a block of mass 1.50 kg sliding with a constant velocity of 4.04 m/s to the north, which collides 100% elastically with a second, stationary block, of mass 3.10 kg, head-on, and rebounds back to the south, eventually colliding 100% elastically with a wall and rebounding northward. It then overtakes the second block, which is still moving north as a result of the first collision. What will be the speeds of the 1.50-kg and 3.10-kg blocks, respectively, after their SECOND collision with one another?
a. 1.29 m/s and 5.14 m/s
b. 3.90 m/s and 1.27 m/s
c. 2.09 m/s and 3.21 m/s
d. 0.90 m/s and 2.24 m/s

Animesh Raj
05:21
Physics 101 Mechanics

A 3.0-kg block on an inclined plane is connected by a rope to
another 2.0-kg block that is on a horizontal surface. The
inclination of the plane is 30o with respect to the horizontal. The
coefficient of kinetic friction between the horizontal surface and
the 2.0 kg block is 0.25, the inclined plane and the 3.0 kg block
experience no friction with each other. The mass and friction of
the rope can be ignored. Draw free-body diagrams for both blocks
and determine what happens to the blocks when no one is holding
them (they have freedom of movement).
A. For the 2.0-kg block, determine the normal force:
Select one:
a. 25.5 N
b. 49.0 N
c. 29.4 N
d. 19.6 N
B. The magnitude of the friction force on the 2.0 kg block.
Select one:
a. 12.3 N
b. 6.4 N
c. 4.9 N
d. 7.4 N
C. The magnitude of the normal force for the 3.0 kg
block:
Select one:
a. 42.4 N
b. 25.5 N
c. 14.7 N
d. 8.5 N
D. The acceleration in x experienced by both blocks is the same,
determine the magnitude of the tension experienced in the
string.
Select one:
a. 9.8 N
b. 24.5 N
c. 8.8 N
d. 4.9 N
E. The magnitude of the acceleration (m / s2):
Select one:
a. 1.30
b. 1.95
c. 0.78
d. 2.34

Animesh Raj
05:04
Physics 101 Mechanics

You decide you are done with physics and you run away to join a local circus. The circus is putting on a new act which involves launching someone out of a cannon, "the human cannonball," however, the cannon is mounted atop a train. They plan to shoot the person out of the cannon from off the train and just before they land, a trapeze artist will swoop them up before they get hit by the train. The Ringmistress of the circus learns that you used to be a physicist and decides she wants you to do some calculations for the safety of the human cannonball. You can't seem to escape your physics class even in the circus. Suppose the human cannonball is launched with speed $v_0$ and launch angle $ heta$. At the moment they launch, the train which had been moving with speed $v_{train}$, begins to accelerate with acceleration $a$. NOTE: This problem involves understanding relative motion between the ground's stationary reference frame and the train's moving frame. a. Sketch the physical situation and include any relevant diagrams or information about the problem. List your knowns and unknowns, and any relevant equations. b. Write down the x and y components of the cannonball's velocity in the ground reference frame and find the time of flight for the projectile. c. Using the result from part b, and your knowledge of kinematics, determine the horizontal distance that the projectile travels and the distance the train travels in that time. Given this, what is the range of the human cannonball (i.e. the distance away from the train that the human cannonball will land)? d. Find an expression for the angle at which the human cannonball should be fired so that they land as far as possible away from the accelerating train.

Animesh Raj
06:57
Physics 101 Mechanics

1.) What do force vectors represent in force diagrams?
a.) magnitude
b.) direction
c.) magnitude and direction
d.) none of the above

2.) How is a free-body diagram different than a force diagram?
a.) represents the object
b.) represents the system
c.) diagram of the multiple objects and forces
d.) represents only scalar quantities

3.) A type of force that acts at a distance is
a.) contact force
b.) normal force
c.) field force
d.) frictional force

4.) Which of Newton's laws best explains why motorists should buckle-up?
a.) Newton's first law
b.) Newton's second law
c.) Newton's third law
d.) law of masses

5.) Which of Newton's laws best explains why for every action there is an equal and opposite reaction?
a.) Newton's first law
b.) Newton's second law
c.) Newton's third law
d.) law of masses

6.) Which of Newton's laws best explains why pushing an object will cause it to accelerate?
a.) Newton's first law
b.) Newton's second law
c.) Newton's third law
d.) law of masses

7.) The mass and weight of an object are
a.) the same throughout the universe
b.) changing throughout the universe
c.) mass is constant, weight changes throughout the universe
d.) weight is constant and mass changes throughout the universe

8.) An object has a mass of 80 kg on the Earth. What is the mass of the object on the surface of the Moon where the acceleration due to gravity is only 1/6 of that on the Earth?
a.) 80 kg
b.) 8.15 kg
c.) 480 kg
d.) 8.00 kg

9.) An object sits on a frictionless surface. A 20-N force is applied to the object, and it accelerates at 2.0 m/s^2. What is the mass of the object?
a.) 40.0 kg
b.) 10.0 kg
c.) 20.0 kg
d.) 4.00 kg

10.) An antitank weapon fires a 3.00-kg rocket which acquires a speed of 30.0 m/s after traveling 0.60 m down a launching tube. Assuming the rocket was accelerated uniformly, what is the average force acted on it?
a.) 750 N
b.) 1225 N
c.) 2250 N
d.) 90 N

Animesh Raj
02:44
Physics 101 Mechanics

Q1: You throw a ball vertically upward, and as it leaves your hand, its speed is 22.0 m/s.
a) How high (in m) does it rise above the level where it leaves your hand?
b) How long (in s) does it take to reach its highest point?
c) How long (in s) does the ball take to return to the level where it left your hand after it reaches its highest point?
d) Assume that the upward direction is positive and the downward direction is negative. What is the ball's velocity (in m/s) when it returns to the level where it left your hand? (Indicate the direction with the sign of your answer.)

Q2) A solid metal ball is thrown directly downward, with an initial speed of 7.20 m/s, from the top of a structure at a height of 29.5 m. How much time (in s) does it take before striking the ground?

Q3) A certain freely falling object, released from rest, requires 1.65 s to travel the last 36.0 m before it hits the ground.
(a) Find the velocity of the object when it is 36.0 m above the ground. (Indicate the direction with the sign of your answer. Let the positive direction be upward in m/s.)
(b) Find the total distance the object travels during the fall in m.

Q4) A ball is hit with a paddle, causing it to travel straight upward. It takes 3.20 s for the ball to reach its maximum height after being hit. Treat upward as the positive direction.
a) What is the ball's initial velocity (in m/s), just after it is hit? (in m/s upward)
b) What height (in m) does it reach above the level where it was hit?

Animesh Raj
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