13) If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads).   (a) Calculate the ideal speed in (m/s) to take a 110 m radius curve banked at 15°. _____ m/s   (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 20.0 km/h?

Q: Two forces are applied to a merry-go-round with a radius of 1.5 m as shown in the diagram. One force…

A:

Q: A single-turn circular loop has a radius of 25 cm, it is placed in a magnetic field of B = 3.5 T…

A: See below

Q: (a) Find the electric force exerted by one sphere on the other. magnitude N direction ---Select---…

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Q: Consider a spherical capacitor consists of a spherical conducting shell of radius 77 mm and charge…

A:

Q: An experimental device imparts a force of magnitude F = 47 lb to the front edge of the rim at A to…

A: See below

Q: *An exoplanet with one half of Earth's mass and 80% of Earth's radius is discovered. What would a…

A: The mass of the exoplanet, M'=M2   ( M is the mass of the earth) The radius of the exoplanet,…

Q: Moon is at the distance 384400 km from Earth and orbits the Earth every ∼28 days. If the radius of…

A: Given data: The radius of moon ( rm ) = 1737 km The time ( t ) = 28 days

Q: Question 16 Which of the following graphs best illustrates how the gravitational potential energy…

A: The graph B is correct.

Q: A sound wave travels at a speed of 340 m/s in the air. What is the frequency (in Hz) of a sound wave…

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Q: A conducting rod of mass m = 40 g can freely slide down along the two vertical rail tracks as show…

A:

Q: Consider a charged conducting sphere made up of polyethylene (εr = 2.26) with a radius 87 cm. If a…

A: Radius of charged sphere is r=87 cm Dielectric constant of polyethylene is εr=2.26 Note: 1 m=100 cm…

Q: Given that the velocity of a body is given by v = u+ at where u is the initial velocity, t is the…

A:

Q: A 1.80x10^4 kg semi-trailer truck drives up a 200 m hill [θ = 30 degrees above horizontal], at a…

A: To solve for the power (P) required to drive the semi-trailer truck up the hill, we need to consider…

Q: When starting from rest at the bottom of a straight road with constant upward slope, Joan bicycles…

A:

Q: A soccer ball is released from rest at the top of a grassy incline. After 5.1 seconds, the ball…

A:

Q: Determine the equivalent capacitance of the circuit provided, where all capacitors have capacitances…

A: A circuit consists one voltage source, 4 capacitors as C1=C2=C3=C4=2 F Find: Equivalent capacitance…

Q: A quantum particle is described by the wave function ψ(x) = A cos (2πx/L) for −L/4 ≤ x ≤ L/4 and…

A: Wavefunction is given and the normalization constant and the probability is asked.

Q: Your piece of a masterpiece, Honda Civic is doing well on 680. Especially, when Sheriff's car just…

A: Solution: Given: 1 mph = 0.44704 m/s 1 ft = 0.3048 m v = speed of car = 62 mph = (62 x 0.44704) m/s…

Q: 3- For the motion in one dimension experiment, a plot of (mn. g) versus the acceleration (a) is…

A:

Q: The magnetic field on the axis of a solenoid. A solenoid 2cm in length has 8 turns of 1.5cm in…

A: The given solenoid has a length of 2 cm, and has 8 turns of wire which carry a current of 0.4 A. The…

Q: There is an insulating sphere A with charge (+Q) is connected to an initially neutral conducting…

A:

Q: Two blocks A and B having masses m-100 kg and mg-15 kg are interconnected by the cord-pulley system.…

A:

Q: (a) Despite the presence of the phase angle , is it still true that the nodes are one-half…

A: (a) Yes   Explanation: It is still true that the nodes are one-half wavelength apart, even when…

Q: 2. A glass flask whose volume is exactly 1000 cm³ at 0°C is filled full of mercury at this…

A:

Q: Part A: Find the angle between vectors t and u. Show all necessary calculations.  Part B: Choose a…

A: t→=3i^+7j^u→=2i^-5j^v→=-21i^+9j^

Q: e.g. : Block A (m) is put on smooth table statically and connected with block B (mg) with a light…

A: Mass of block A = mA Mass of block B = mB Considering the acceleration to be "a" downwards for the…

Q: A 520 g squirrel with a surface area of 945 cm2 falls from a 6.0-m tree to the ground. Estimate its…

A: The mass of the squirrel is m=0.520 kg The position of the squirrel from the tree to the ground is h…

Q: A freezer sustains a cold environment of -37°C and exhausts its heat at 40°C. Assume a Carnot cycle.…

A:

Q: What is the equivalent capacitance of the circuit below, where all capacitors have capacitances…

A:

Q: A 75 kg runner has a speed of 5.45 m/s. What is the runner's kinetic energy?

A: Mass of the person is m=75 kg Speed of the person is v=5.45 m/s Note: 1 N=1 kg·m/s2 1 J=1 Nm 1…

Q: 9.38. Striking a triangle ** Consider the rigid object in Fig. 9.57. Four masses lie at the points…

A: To determine the velocities of the masses immediately after the blow, we can apply the principle of…

Q: The magnetic field at P, B = i₁ Units UT

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Q: What about the initial velocity and acceleration?

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Q: In a shallow bowl with radius R (>> r), a marble of mass m and radius r (o=mr²) rolls smoothly back…

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Q: A mass, m₁ = 3kg is initially travelling with a speed of 4 m/s, and runs into a mass m², that is…

A:

Q: What is the binding energy of Silver- 107? Its atomic mass is 106.905 u. in eV

A:

Q: Why is the difference in temperature small when ignited using a Bomb Calorimeter? It began with 25…

A: If the difference in temperature observed when using a bomb calorimeter is small, such as a change…

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A:

Q: A metal sphere with a mass 5.50 kg is connected to a spring with a force constant of 325 N/m, and it…

A: Mass of sphere is m=5.50 kg Mass is connected to spring with force constant k=325 N/m Amplitude of…

Q: An electrical power plant is constructed to extract energy from the ocean. It utilizes warm water at…

A: Solution: Given: t1 = temperature of warm water = 30oC t2 = temperature of cold water = 4.1oC η1 =…

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Q: (5) A 200-loop coil of cross-sectional area 8.5 cm2 and resistance of 4 $2 lies in the plane of the…

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Q: Three particles of charges +Q, Q, and -2Q form the three corners of a square of side length a, as…

A:

Q: Consider a car that initially travels in the positive direction at a speed of 30 m/s. The car…

A: Given  the initial speed of the car u=30 m/s final speed of the car v=40 m/s  time taken ∆t=5 s

Q: Which of the following is TRUE about electric field lines? A. The density of field lines at a point…

A: The density of field lines at a point is proportional to the magnitude of the field at that point.…

Q: Consider an electron orbiting around a proton with an orbital radius of R = 4.77-10-¹0 m. What is…

A: When the magnetic force is applied, the electrostatic force will be equal to the sum of the…

Q: The direction of the DC electron current is against the arrowhead on the emitter terminal true or…

A:

Q: A 75 kg person pushed a 50 kg box up a 30° incline with a 0.25 coefficient of kinetic friction. The…

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Q: Resolve F₁ and F₂ into components along the u and v axes and determine the magnitudes of these…

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Q: Two perfectly insulated gas canisters contain air with a specific heat capacity of 1005 J/kg•°C and…

A: The specific heat capacity of air is Ca=1005 J/kg.°C The density of the air is ρ=1.35…

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.