which experiences an electric charge Q of 1 Coulomb of charge with a velocity v =(2i^ 3j^ 4k^))ms immersed in an external magnetic field in Teslas (T) B=(5i^ 6j^ 7k^)T is : what is the correct

Q: A spring has a natural length of 15 inches. A force of 10 Ibs. is required to keep it stretched 5…

A: for F = 10 , x = 5

Q: A force of 7 lbs is required to hold a spring stretched 0.5 ft beyond its natural length. How much…

A: Question is solved.

Q: a. Air is being pumped into a spherical ball in such a way that the volume increases at a rate of 10…

A: Given: Volume of sphere is increasing at a rate of 10 cm^3/sec.

Q: Each side of an equilateral triangle measures 3 cm, with a possible error of 0.1 cm. Using…

A: This question is taken from the differentiation in which we have to find the relative error in the…

Q: A force of 7 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

A: Given that 7 pounds is required to stretch 0.2 ft

Q: A worker on a roof 30 m above the ground needs to lift a 50 kg bucket of cement from the ground to a…

A:

Q: A board 5 feet long slides down a wall. At the instant the bottom end is 4 feet from the wall, the…

A:

Q: A force of 7 pounds is required to hold a spring stretched 0.3 feet beyond its natural length. How…

A: from Hooke's law, spring constant k is given by ..............(1) here we have F=7 lb and x=0.3 feet…

Q: Suppose a particle has velocity given by v(t)=sin(t). What is the net displacement of the particle…

A:

Q: 2. please help, they canceled class due to virus can't contact teacher.

A:

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cmand height 12…

A: Given : Diameter of tin = 8 cm. Height of tin = 12 cm. Thickness of tin = 0.04 cm.   To estimate…

Q: 5. Gordon is making a chocolate dome by coating a plastic dome with a layer of chocolate 2 mm thick.…

A:

Q: A baseball diamond is a square whose sides are 90 ft long. Suppose that a player from asecond base…

A:

Q: A force of 2 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How…

A:

Q: Gordon is making a chocolate dome by coating a plastic dome with a layer of chocolate 2 mm thick. If…

A: Answer: 40π cm³ or 125.66 cm³

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint .05 cm thick to a…

A: Using differential to estimate the amount of paint needed to apply a coat of paint of 0.05cm thick

Q: Water runs into a sunken concrete hemi- spherical bowl of radius 5 m at the rate of 0.2 m3/sec. How…

A: The derivative gives the rate of change of some variable with respect to other quantity. If a…

Q: A force of 10 lb is required to hold a spring stretched 4 feet beyond its natural length. How much…

A: F=10 lb  x=4 feet  F=kx  k=10/4=5/2

Q: A force of 4 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How…

A:

Q: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A:

Q: The force on a particle is described by 10x + 6 at a point x along the x-axis. Find the work done in…

A:

Q: A cylinder of radius 5 cm and height 10 cm is lowered (circular face first) at a rate of 1 cm/sec…

A: To find: The rate at which the water lavel rising at the instant the cone is completely submerged.

Q: A capacitor has two parallel metal plates measuring 0.45 m² each. The distance between the plates is…

A: Given:-Area of plates=0.45 m2distance between plate, d=1 cm=10-2mthickness of permittivity ,…

Q: A force of 200 N will stretch a garage door spring 0.8 m beyond its unstressed length. How far will…

A: Given information:

Q: When a particle is located at a distance x feet from the origin, a force of x +2x pounds acts on it.…

A: We have the given Force function F(x) = x2 + 2x where x is the distance in feet from the origin.…

Q: A flying kite is 100 m above the ground, moving in a horizontal direction at a rate of 10 m/s. How…

A:

Q: The thickness of the shell is a = 0.7 centimeter. Use differentials to approximate the volume of the…

A: Volume of sphere V= 43π×r3 From given figure radius is 100 cm .

Q: Water is flowing into a vertical cylindrical tank at the rate of 5cu.ft/min. if the radius of the…

A: The volume of a cylinder:,V = πr2hWhere, V = Volume of the cylinder  r = Radius of the base  h =…

Q: A force of 40 N is required to hold a spring stretched 5 cm beyond its natural length. How much work…

A:

Q: A reservoir is 80m long and its cross section is an isosceles trapezoid having equal sides of 10m,…

A: Given that the reservoir is 80m long whose cross-section is an isosceles trapezoid with sides of…

Q: A Helium is being pumped into a spherical balloon at a rate of 12cm³/min. Determine the rate at…

A:

Q: A spherical balloon is increasing in volume at 24t Cm . How fast is the radius ст S. of the balloon…

A:

Q: 3. Water is flowing out of a cylindrical storage tank at a rate of 2m/min. If the tank has a radius…

A:

Q: spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute.

A: Volume of the sphere is V=43πr3where r = radius of the sphere

Q: When a particle is located a distance feet from the origin, a forceof   x sq  + 2x pounds acts on…

A: F(x) = x2 +2x and the limits are x =1 to x =3.

Q: When a tornado passes near a building,there is a rapid drop in the outdoor pressure and the…

A: Pressure is measured as the ratio of force upon area

Q: Water is flowing into a vertical cylindrical tank or radius 2 meters at a rate of 8 cu. meters per…

A: Given that vertical cylindrical tank that has radius 2 meter and water is flowing rate is 8cu.…

Q: A comet loses material when it gets close to the Sun at a rate of 100 cubic meters per minute.…

A: Given Comet is a sphere Its radius is 200 meters Let V be the volume of the comet then r be the…

Q: 3. A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: Solved below.

Q: ball is shot from the ground straight up into the air with initial velocity of 47 ft/sec. Assuming…

A:

Q: Use differentials to estimate the amount of paint needed toapply a coat of paint 0.05 cm thick to a…

A:

Q: A liquid is flowing into a vertical cylindrical tabk of radius 6 ft at the rate of 8 ft³/min. How…

A: r=6 ft  &  dVdt=8 ft3min,  where r is the radius, V is the volume at any time t. Let h be the…

Q: Water is flowing into a vertical cylindrical tank of radius 2 feet at the rate of 8 ft3/min. How…

A: Solution: Consider the radius of vertical cylindrical tank is = 2 feet and rate of water flow is 8…

Q: 4. Water is draining from a cylindrical tank at 2.52 L/sec. Assume that the water tank has a…

A: Given: Water is draining at a rate of  2.52L/sec=2520 cm3/sec The water tank has a diameter of 50…

Q: A gas line-driven lawnmower has a blade that extends out 1 foot from its center. The tip of the…

A:

Q: A comment loses material when it gets close to the sun at a rate of 100 m³ per minute. Assuming that…

A: Given a comet loses material when it gets close to the sun at a rate of 100 m³ per minute.

Q: 2. A cylindrical tank standing upright (with one circular base on the ground) has radius 1 meter.…

A:

Q: A force of 6 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

A: F = -kx  6 = -k(0.2) So, k = 30   Work done, W = (1/2)kx2 = (1/2)*(30)*(0.9)2 = 12.15

Q: Water flows at the rate of 2000 cubic cm per second into a vertical cylindrical tank 120 cm in…

A: Let height of cylindrical tank is "h". Diameter is 120 cm. So, Radius would be r=1202=60 cm Volume…

Q: 1. A particle moving along in a straight line with a uniform acceleration covers 72 cm displacement…

A: