A weight of 48 Ib stretches a spring 2 ft. The weight is pulled down 6 ft below the equilibrium position and then released. What initial velocity vo given to the weight would have the effect of doubling the amplitude of the vibration? Use g = 32 ft/ sec?.

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m^3/min.…

A: Given Height of canonical tank=3 m and Radius of canonical tank =2 m and dvdt=2 m3/min.     .....1

Q: A spherical snowball melts at a rate of 16 in / sec. when the radius is 2 in, then the radius of the…

A: The formula for  volume of sphere is: V=43πr3 Given that dVdt=16 in3/secr=2

Q: A spring oscillates with a frequency of 8 cycles per second. Its initial displacement is 3…

A: A spring oscillates with a frequency of 8 cycles per second. Its initial displacement is 3…

Q: 10. A boy is flying a kite at a constant height of 60 ft. If the kite is moving horizontally at the…

A:

Q: A droplet has a mass of 2.9 x 10-13kg and a charge of +e. In what vertical electric field would the…

A:

Q: A 80-kg cyclist on a 19-kg bicycle starts coasting on level ground at 30 m/sec. Use v = vo e (-k/m)t…

A:

Q: A spy uses a telescope to track a rocket launched vertically from a launching pad 6 km away, as in…

A: Given that

Q: 4. A 13-ft ladder is leaning against a house when its base is 12 ft from the house, the base is…

A: To find the solutions of given statements

Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A: given that radius of a sphere increases at a rate of 3m/sec find the rate  when radius is 9m

Q: How many times is the amplitude of the acceleration greater thar the amplitude of the velocity? The…

A: Given that: y=y0cos(2πωt)

Q: Assume that an object has a constant acceleration of 10 m / s ^ 2  . Initially, the object is…

A:

Q: A 64-lb weight is suspended vertically from a spring having a spring constant of 8 lb/ft. An…

A: The differential equation describing the motion is as follows: 6432d2xdt2=-8x+Ft2d2xdt2=-8x+16cos4t…

Q: A man 2 meters tall walks at a rate of 1.2 meters per second away from a light that is 5 meters…

A: dy/dt = rate of moving of tip of shadow dp/dt = rate of change in length of shadow

Q: 1.)Supposed that a mass weighing 10 lbs. stretches a spring 2 inches. If the mass is displaced…

A:

Q: A rocket is fired vertically upward from the ground with an initial velocity of 580 ft / sec.…

A: Given that A rocket is fired vertically upward from the ground with an initial velocity of 580…

Q: A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if…

A:

Q: A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if…

A:

Q: A small frictionless cart, attached to the wallby a spring, is pulled 10 cm from its rest position…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: On the moon the acceleration due to gravity is 1.6 m/sec?. On this setting, a rock was thrown…

A: topic - equations

Q: A particle moves along a straight line with an acceleration of a = 4 sin 4 m/s?. If the displacement…

A: a=dvdt v=dx/dt sin pi=0 cos pi=-1

Q: In the given question as follows, assume the accleration of the object is a(t)= 32 feet per second…

A:

Q: A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How…

A: Given problem:- A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5…

Q: What constant acceleration is required to increase the speed of a car from 20 mi/h to 53 mi/h in 3…

A:

Q: A 32-lb weight stretch a spring 2ft. At t = 0, the mass is released 1 ft above the cquilibrium…

A: The solution is given below

Q: An object undergoes acceleration 2.3i +3.6j m/s? for 8.1 s at which time its velocity is 33i +15j…

A: We can solve it by using some basic formula related to accelaration and velocity.

Q: A 6600/400 V, 50 Hz, single phase transformer has a net cross -sectional area of the core of 428…

A: The number of turns in the primary and secondary windings.

Q: A mass-spring system is subjected to a single external force F (t) = sin (t), which acts for 0≤t≤2π…

A: Given mass-spring system is subjected to a single external force F (t) = sin (t), which acts for…

Q: If f(t)=2t+sin(t) describes the length of an oscillating spring in m/s, what is the instantaneous…

A: Solution is written in below steps.

Q: The edge length of a cube is 12 cm and increasing at a rate of 2 m. How fast is the Surface Area of…

A: Given dx/dt=2cm/hr X=12cm

Q: A weight of 10 lb stretches a spring 10 in. The weight is drawn down 2 in. below its equilibrium…

A:

Q: A 16 ft ladder leans against a wall. The bottom of the ladder is 5 ft from the wall at time t=0 and…

A: Given: Length of the ladder against the wall is l is16 ft The distance between wall and the bottom…

Q: Assume the acceleration of the object is a(t) = -9.8 meters per second per second. (Neglect air…

A: ANSWER IS AS BELOW:

Q: A mass-spring system is subjected to a single external force F (t) = sin (t), which acts for 0≤t≤2π…

A: Given a mass-spring system is subjected to a single external force F (t) = sin (t), which acts for…

Q: .A ball is thrown upward from a height of 15 feet with an initial upward velocity of 5 ft/sec. Use…

A:

Q: A surfboard 9 ft. long stands on the ground and leans against a wall. Due to a strong external…

A:

Q: the

A:

Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A: see below the answer and explanation

Q: The velocity of an object moving along a line is given by v1t2= 20 cos pt (in ft>s). What is the…

A: Consider the given velocity function as vt=20cospt

Q: A spring oscillates with a frequency of 8 cycles per second. Its initial displacement is 3…

A:

Q: The skid marks made by an automobile indicate that its brakes were fully applied for a distance of…

A: Given - The skid marks made by an automobile indicated that its break were fully applied for…

Q: (4)Show correct Answer for this 1 question and Highlight it, tysm!!

A:

Q: The radius r and height h of a cylinder are changing with time. At the instant in question, r = 3…

A:

Q: 1. A 13-ft ladder is leaning against a house when its base is being pushed towards the wall. By the…

A:

Q: The height (in centimeters) at time t (in seconds) of a small mass oscillating at the end of a…

A: Height is given by ht=3 sin 2πt→1instantaneous velocity=dhdt⇒Differentiate eqn 1 , w.r.t 't' , we…

Q: 10 ft/s from the ground. At what time t does the ball reach its maximum height? (Recall the…

A:

Q: A spring is stretched 12 inches by a 24-pound weight. If the weight is pulled 10 inches below the…

A:

Q: Assume a spring is oscillating and the length of the spring can be described as sin (t) L (t)=- What…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.