Determine whether the statement is true or false. If f and g are differentiable, then True False [f(x) + g(x)] = f '(x) + g'(x).

Q: An 8.5 kg crate is pulled 4.6 m up a 30° incline by a rope angled 18° above the incline. The tension…

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Q: A small metal cylinder rests on a circular turntable that is rotating at a constant speed as…

A: Mass of cylinder = m = 0.2 0kgcoefficient of static friction =  = 0.080radius = r = 0.15 m To…

Q: 10,000 kg railroad car is rolling at  2.00 m/s when a 4000 kg load of gravel is suddenly dropped in.…

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Q: car of mass= 3000 Kg moves with a velocity= V= 5 m/s. To have the same amount of momentum as the…

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Q: When the astronauts go into space, they feel lighter. This is because weight decreases as a person…

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Q: Two blocks, each of mass m = 2.1kg are pushed along the horizontal surface of a table by a…

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Q: Someone on a skateboard is pulled by a rope attached to a bike. The velocity of the skateboarder is…

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Q: A 1.07 kg mass is at the center of a uniform spherical shell of mass 1.06 * 10 ^ 20 * kg and radius…

A: See below

Q: An asteroid revolves around the Sun with a perihelion 0.5 AU and an aphelion of 7.5 AU. What is its…

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Q: we know that we can calculate an average velocity of a monoatomic gas by using the Maxwell-Boltzmann…

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Q: Please refer again to the diagram. This time we have a charge of 5.52 x 10^-6 C moving at velocity…

A: Given data: Charge (q) = 5.52×10-6 CVelocity (v) = 5.73×105 m/sMagnetic field (B) = 1.53 TElectric…

Q: A horizontal wire of length 0.45 m, carrying a current of 5.7 A to the right, is placed in a uniform…

A: Length of wire is Current is Magnetic force is Angle between magnetic force and length of wire is…

Q: Does friction always oppose motion (i.e., does it always act in the direction opposite to that of…

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Q: 1. If you pull the North pole of a magnet away from a coil of conducting wire, which way will the…

A: 1) According to Lenz law. The direction of current induced in a conductor by a changing magnetic…

Q: A 5-kg body with a speed of 4.0 m/s collides head-on with another 10-kg body moving towards it with…

A: Mass of object 1 is Initial velocity of object 1 is Mass of object 2 is Initial velocity of object 2…

Q: The rocket sled shown in the figure accelerates to the right at a rate of 58.8 m/s². Its passenger…

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Q: You have a disk of radius R with a circular hole of radius r cut a distance a from the center of the…

A: Here, we first have to find the center of the mass of the whole disk assuming disk is a whole which…

Q: Prove that the expression for quality factor of a damped harmonic oscillator is given by Q= ωd​​/2y

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Q: A positron with kinetic energy 2.80 keV is projected into a uniform magnetic field of magnitude…

A: Kinetic energy of positron is Magnetic field is Angle between magnetic field and velocity vector is…

Q: 7. A proton is released from rest at point A in a uniform electric field that has a magnitude of…

A: electric field = E = 5 X 104 V/mdisplacement = d = 0.5 mcharge of proton = q = 1.6 x 10-19 Cmass of…

Q: 1. The position of a particle moving in a straight line is given by the equation s = 4(1+t) - where…

A: Since you have posted multiple questions with multiple sub-parts, we will solve first three…

Q: The electron beam inside an old television picture tube is 0.40 mmmm in diameter and carries a…

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Q: How do you find the work done by those forces?

A: Draw the free-body diagram of the crate.

Q: A wire of length 0.45 m is conducting a current of 7.5 A toward the top of the page and through a B…

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Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s=…

A: The slope of the stress-strain graph gives the Young's modulus of the material.

Q: A centrifuge rotor rotating at 9300 rpm is shut off and is eventually brought uniformly to rest by a…

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Q: A 0.154 kg glider is moving to the right on a frictionless, horizontal air track with a speed of…

A: Mass of object 1 is Initailly object 1 is moving to right with speed Mass of object 2 is Initially,…

Q: Particle-X has a speed of 0.730 c and a momentum of 6.240x10-19 kgm/s. What is the mass of the…

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Q: A fireworks rocket is moving at a speed of v = 43.5m/s. The rocket suddenly breaks into two pieces…

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Q: constant velocity a distance 8.0 m along a 30° incline by the horizontal force F → . The coefficient…

A: mass of crate ,m=40 kgdistance moved on inclined =8 mangle of inclination =30°  µk = 0.40

Q: 14. The the banking angle for a curve of radius 125.0 m is 22.5 degrees, such that a car traveling…

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Q: We are dealing with a 3 dimensional system, so take note of the orientation. If we have a charge…

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Q: A box of mass m moves a distance d across a horizontal floor, its speed increases due to a…

A: Total work done is only due to forces that are parallel to displacement and as displacement or…

Q: In astronomy, distances are often expressed in light-years. One light-year is the distance traveled…

A: 1 light year is the distance traveled by light in one year. 1 year = 365.25 days            = (…

Q: n amusement park ride called The Roundup, passengers stand inside a 19.0 m meter rotating ring.…

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Q: Particle-X has a speed of 0.730 c and a momentum of 6.240x10-19 kgm/s. What is the mass of the…

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Q: A string is tied at both ends, and a standing wave is established. The lenght of the string is 2m,…

A: A string tied at both ends. The length of the string is,                              The string…

Q: A box with a mass of 8.99 kg is pulled along a horizontal surface at constant velocity. Its pulled…

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Q: The image below shows the intensity measured behind a double slit with a spacing d = 0.25 mm when…

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Q: 4. The acceleration-time graph is drawn for the motion of a certain body. Based on it: a. draw a…

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Q: Calculate the period of an artificial satellite orbiting at an average altitude of 1951 km above…

A: Altitude, h = 1951 kmRadius, r = 6,380 kmMass, m = 5.98×10²⁴ kgPeriod, T = ?

Q: 762 nm wavelength for left- and right-circularly polarized light are nL= 1.53920 and nR= 1.53914.…

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Q: A 10.0 gg rifle bullet is fired with a speed of 350 m/s into a ballistic pendulum with mass 10.0 kg…

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Q: Consider the motion along the straight line r(t) = (1, 2, 7) + t(1,1,1). (a) What is the velocity…

A: Consider the motion along the straight line r(t) = <1,2,7> + t<1,1,1>.(a) What is the…

Q: (2) A 10.0 kg mass has the following two forces acting on it F₁ = (28 N)i + (-20N)j F₂ = (-32 N)i +…

A: m=10.0 kg

Q: loudspeaker having a diaphragm that vibrates at 970 HzHz is traveling at 70.0 m/sm/s directly toward…

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Q: Satellite observations of a wave field are made which determine a deep water wavelength of 312 m and…

A: Wavelength in deep water, Wavelength over the continental shelf,

Q: What is the mass of a box on the ramp if the hanging box is 25kg and the system is accelerating at…

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Q: A 5.0 kg cannonball is fired horizontally at 66 m/s from a 10-m-high cliff. A strong tailwind exerts…

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Q: Think of Poiseuilles equation. The flow in a vessel would increase if the O length of the vessel…

A: Poiseuille's equation relates flow rate to the pressure difference, the fourth power of the vessel…