A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by r(t) = ť², 0(t) = t where t is time. The kinetic energy of the particle at time t = 2 is

Q: Make a graph of x versus t for the ball. Because you have data only at certain instants of time,…

A: A graph of x versus t for the ball. Because you havedata only at certain instants of time, your…

Q: A piece of mass M is hung by a string of length L ‌. A ball of mass m = M / 4 has a velocity V• when…

A: Let Vo is the Initial velocity V is the final velocity of mass M and ball m= Mass of ball M= Mass is…

Q: A system consists of three identical 19.32-lb particles A, B, and C. The velocities of the particles…

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Q: On an alien planet (with unknown gravity), a 5 kilogram object is dropped froim rest 10 meters above…

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Q: 5. A web page designer creates an animation in which a dot on a computer screen has position 7= [4.0…

A: Given-position of dot  is given as To Find-The magnitude and direction of the dot's average velocity…

Q: lative to the ground at which the camera is positioned to film the rocket. As the rocket starts to…

A: Givend=400mV=5m/sa=3.5m/st=4sec

Q: Q5: If you have one Newton dynamic acting on 330 mg of blood of a given upward with a time unknown…

A: Given that, Force to lift blood, F=1 N,Mass to lift blood, m=330 mgVelocity of flow, v=5 m/sec,

Q: A vector v is given as function of time t by v = ti +tj+tk m/s, where (i, j, k ) are unit vectors…

A: Data given- v = t3 i + t2 j + t k  wH/R = t i + t2 j + t3 k

Q: A5.3: A car is moving along a straight road. Its position is given by the function s(t)=-2+2t+5…

A: This question is based on the concept of kinematics. It deals with displacement and velocity.

Q: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

A: Given data: The increase in the radius over the time is drdt=2 m/s The time given for the radius is…

Q: 3. In- Space motion ,all movements can be represented as occurring in a single plane. Relative…

A: (a) Space motion: Incorrect option because movements does not take place in single plane. (b)…

Q: A basketball player drops a 0.5 kg basketball vertically so that it is traveling at 5.0 m/s when it…

A:

Q: 4. A girl tosses a ball at an initial velocity of A = 8 ft/s at an angle of 0 = 25°. A boy catches…

A: For solution refer below images.

Q: A box is released from rest at the top of a ramp at timet = 0. It slides down the ramp and collides…

A: Consider the time interval 0<t<tA. Let W be the weight of box so calculate the weight in the…

Q: Position vector of a particle is given as r(t) = 2t² i + 5tj - 3k in meters where t is in seconds.…

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Q: 6. Suppose the parametric equations for the motion of a charged particle released from rest in…

A: Given: Let us consider the given, x=aθ-sinθy=a1-cosθ To show: The tangent to the curve has slope…

Q: Graph below represents the force on a 12 kg air mass as it passes through a jet engine.  Immediately…

A: Write the expression of work-done on the air,   W=Area under F-x curve=129039 N2.3 m=10394.85 J…

Q: Q1. Two asteroids collide and stick together. The first asteroid has mass of 15×10³kg and is…

A:

Q: Which of the following properties is a path variable    A. Internal energy  B. Heat

A: Path Variable- It is a variable which depend on the path followed for the change of the state of the…

Q: Most collisions are inelastic, meaning the kinetic energy is not conserved in the system.  (a) What…

A: Elastic collision: Its a collision in which the kinetic energy is conserved.  Inelastic collision :…

Q: 11. At time t;, the kinetic energy of a particle is 30.0 J and the potential energy of the system to…

A: Energy neither created nor destroyed it conserve from one form energy to other form of energy. Total…

Q: 2.3.16. [Level 21 A Republic laser weapon targets a rade Federation battleship fleeing to space at a…

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Q: An object is thrown from a height of 135 m with an initial velocity of 50 m/s and an angle of 53…

A: Please specify what to calculate.

Q: Which quantity is always tangent to the curvilinear motion path?

A: Curvilinear motion The motion of the body that travels in a curved path either in 2-dimension or…

Q: The displacement of a machine is expressed as x(t) = A sin(6t + 0), where x is in meters and t is in…

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Q: A dog runs at 0.85 m/s of velocity towards a cat which stays at rest. The dog accidently collides…

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Q: A ball is tossed straight upward with a speed of 10 m/s from a window located 20 m above the ground.…

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Q: Activity 2.4- Newton's Second Law Problems Use the free body diagram method to solve the following…

A: The mass of the ball, M = 60 gram = 0.06 kgThe bouncing speed, vo = 15 m/sThe angle, θ = 20ᵒThe…

Q: Q2/ A conservative force F, (9x3 +7x2 + 2x + 1)N ,acts on a 6 kg body ,as the body moves along…

A: Work done by the conservative force is independent of the path followed by the particle. An example…

Q: S₁ = 31³-121²+18r+ 5 m and sy=-³ +9²-12rm. When do the particles have the same velocities?

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Q: 2. If car A has a velocity V₁ and car B velocity VB, where VA and VB are vectors, what is the…

A: Given data  Velocity of Car A = VA Velocity of Car B = VB   To determine  (1) Relative velocity of…

Q: The motion of a vibrating particle is defined by the position vector r = 10(1 – e-3hi + (4e¬2'sin…

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Q: 3) ANS. Two particles, A & B, move along parallel rectilinear paths. At t=0 the particles are…

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Q: A 4He nucleus (atomic weight 4)moving with speed v breaks up into a neutron (atomic weight 1) anda…

A: Given data is

Q: A particle shown in figure 2 is launched at point 'A' with height of 1 meter from the ground with…

A:

Q: A helicopter with a mass of 10,000 kg takes off straight up at t=0. The thrust of the engine is…

A:

Q: You place a 0.18-kg sonic ranger on a low-friction track in front of a 0.50-kg cart to measure the…

A: V1=+(1.0 m/s)iFriend's velocity= -(3.5 m/s)i

Q: Sweden and Norway are at war over who makes the best pickled herring. You are in charge of a Swedish…

A: given; (i)velocity(V1)=105m/sα1=390length(Li)=?(ii)velocity(Vii)=137m/sαii=150length(L2)=?

Q: It is a type of motion along a curved path. Such a motion, when confined to one plane, is called…

A: refer below definitions(given in image) for answer.

Q: Two masses are attached by a wire as shown. M2 drops 6 m before hitting the ground. M2 = 60 kg H =…

A: Draw the schematic diagram for the above mass system.

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.