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: 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: ou drop a golf ball from a height of 1.0 m above the ground. It hits the ground and returns to a…

A: given; You drop a golf ball from a height of 1.0 m above the ground. It hits the ground andreturns…

Q: There are two springs attached to a mass with an unknown weight. The springs have a stiffness of k =…

A: Given that ,    μ=50N/mxo=5m h=4m

Q: You drop a golf ball from a height of 1 m above the ground. It hits the ground and returns to a…

A: Write the given data. hi=1 mhf=0.5 m

Q: 4. Two particles, A and B, are moving in a straight line. Take this to be the z-axis. At t = 0,…

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Q: Position of a linearly moving particle ? = (?3 - 8.85?2 - 22.35? + 11.85) m. When t is in seconds…

A: Given: The time, t = 16.35 s The equation of motion, s = t3-8.85t2-22.35t+11.85

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

A: Work is defined as the amount of energy required to move an object to a certain distance or it is…

Q: It is the simplest type of motion and is along a straight line path. Such a motion is also known as

A: Translatory motion:- it's the motion of rigid body in which body will move along the straight line…

Q: Consider a satellite around Earth in an elliptic orbit. At a point in its orbit, the radius (in km)…

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Q: 2. Two students are riding in 2 bumper cars at an amusement park as shown in the figure below. 250…

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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 balloon is rising vertically above a level, straight road at a constant rate of 1 ft sec. Just…

A: According to the given information x=51, y=68 and  s is 85 anddxdt=17 and dydt=1,   take the…

Q: As shown in the figure below, two objects are moving towards each other with velocities given by the…

A: Given dataRelation of masses m1 and m2  m1 = 1.8m2Angle of m1 with vertical θ1 = 30.50Angle of m2…

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 0.60N bullet with a velocity of 360 m/s strikes a 90N block of wood moving a velocity of 10m/s in…

A: Weight of the bullet w1=0.60 N Velocity of the bullet v1=360 m/s Weight of the block w2=90 N…

Q: A 30 kg object and a 70 kg object collide. The graph below is for the 70 kg object. Assume momentum…

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Q: The speed of your automobile has a huge effect on fuel consumption. Traveling at 65 miles per hour…

A: Given data: Loss of fuel economy for every mile per hour over the speed 55 mph is 2%. The trip…

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: ha ZeroPotential Datum MA mg k

A: Given, μk=0.14 k=32.5 Nm hA1=0.6 m mA=4.6 kg mB=1.3 kg

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

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Q: time zero, an object of mass m that is initially at rest is dropped from a tower of height h. The…

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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: 1- Find the velocity i and the position x as functions of the time t for a particle of mass m, which…

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Q: The power P generated by a pump of a given geometry is known to depend upon the impeller diameter D,…

A: P=fD,N,Q,ρ,μ

Q: 5. A moving pulley can be treated as a uniform disk with a mass of 100 kg and a radius of 0.8 m. It…

A: Step 1:Given:The mass of the uniform disc pulley: m=100kgThe radius of the pulley: R=0.8mUpward…

Q: Two objects form a system. The mass of object 1 is 3 times more massive than the mass of object 2:…

A: Write the given data. m1=3m2Location of object 1=10,-8,6Location of object 2=3,0,-2Velocity of…

Q: Hits the ground when t = Reaches highest point when t = Maximum height = (include units) (include…

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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: 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: A particle is projected vertically upward, under gravity, with a speed of 48 fu/sec. One second…

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Q: A projectile fired at O follows a parabolic trajectory, given in parametric form by: x = 86t and y =…

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Q: The kinetic energy of

A: Given; Kinetic energy of the particle at time , t=2Where, A particle of unit mass is moving on a…

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: Given: Four masses m, m, m, and m, are 300 kg, 400 kg, 320 kg, and 340 kg respectively. The…

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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: A parachutist has a terminal velocity of -176 feet per second. That is, no matter how long a person…

A: Velocity at which the parachutist is falling is given by the D.E v'(t)= = 32-k.v(t) And the terimnal…

Q: y (m) 2 intervals. The Figure shows the result of a collision of a 10.00 kg ball with an object…

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Q: Q1 0.25 kg @ 2 m/s collided with 0.4 kg target at rest in the lab frame and the 0.25 kg velocity…

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Q: A boat is towed at the rate of 12mi/hr. At t = 0, the towing line is cast off and a man in the boat…

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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.