Show that the period of motion of an undamped vibration of a mass hunging from a vertical spring is 2π√(s/g).

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Q: do you have a solutuon for this?

A: Definite integral property : If f(x) is continuous on a,b and a<c<b ,then              ∫ab…

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A: We have given change in edge with respect to time is 2cm/sec.  We have to find the changes in…

Q: With what initial velocity must an object be thrown upward (from a height of 3 meters) to reach a…

A: Given , S= 150-3            S= 147 m            a = -9.8 m/s2

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A: We will draw figure and use differentiation  to find rate of change . Note . Only one question…

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A: Given that: Fireworks are fired up from a platform 3 ft. above the ground with an initial velocity…

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Q: A man 6 feet tall walks at a rate of 4 feet per second away from a light that is 15 feet above the…

A: Please see the explanation below

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Q: m Oil is running into an inverted conical tank at the rate of 37 -. If the min tank has a radius 2.5…

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Q: A stone, projected vertically upward with initial velocity 112ft/sec, moves according to…

A: Topic = Algebra The maximum height reached by the stone is 196 ft.

Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 32 cm to a length…

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Q: At noon Person A is 15 km east of person b. person A is walking west at 3km/h, and person b is…

A: initially A and B apart 15 km apart that  person A moves towards west at rate (da/dt) = 3 km/hr…

Q: A man 1.69m m tall i s walking on a horizontal street at 3.2 kph away from a vertical street light,…

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Q: What is the velocity (in ft/s) of a sandbag 2.5 s after it is released from a hot-air balloon that…

A: Given that a sandbag is released from a hot-air balloon that is stationary in the air. Then we have…

Q: Suppose that a mass weighing 10 lb stretches a spring 2 in. If the mass is displaced an additional 2…

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Q: 1. A car is travelling at 50 mi/hr when the breaks are fully applied, producing a constant…

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

A: We find the velocity function by differentiating h(t) with respect to t

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Q: 13. A 10-meter ladder is leaning against a vertical wall with its foot on the same horizontal plane…

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Q: 2. A 15-meter-long ladder is leaning against a wall The bottom of the ladder is pushed horizontally…

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Q: Ex. 2. Prove thät if two equal and perfectly elastic balls moving in the same direction collide…

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Q: A ladder 14 ft long rests against a vertical wall. Let 0 be the angle between the top of the ladder…

A: Given:

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Q: A flag is raised vertically from a pole at a constant rate of 1m/s. A point B on the ground level…

A: Given: Vertically raising speed of flag at constant rate=1 m/s……1Horizontal distance from flagpole…

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Q: Jrin m In(cos m) dm

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Q: Determine the magnitude and direction of velocities of 3 m/s at 18° and 7 m/s at 115° when acting…

A: Solution

Q: 4. A street light is at the top of a 16 ft pole. A 6 ft tall woman walks along a straight path away…

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Q: A car traveling at 60 mi/h (88 ft/s) skids 176 ft after its brakes are suddenly applied. Under the…

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Q: Suppose that a car accelerates at a rate of a(t) = t – 7 meters per second. Use the Fundamental…

A: ANSWER :

Q: A frictionless spring with a 4-kg mass can be held stretched 2 meters beyond its natural length by a…

A: From the given information, m=4 kg, k=1002 Nm. Let xt represents the position of the mass at time t,…

Q: Find a function that models the simple harmonic motion having amplitude 60 m and period of 5…

A: If you like the solution then please give it a thumbs up.... The Answer is:          y=60cos2πst

Q: On the moon, the acceleration due to gravity is 1.6 m/sec2. a) If a rock is dropped into a crevasse,…

A: a) The acceleration due to gravity on the moon is -1.6 m/sec2. Recall that the second derivative of…

Q: A man walks along a straight path at a speed of 4ft/s. A searchlight is located on the ground 30…

A: Given data is : dxdt=4 ft/sec To find the Rate of the searchlight is rotating

Q: Find the acceleration of the potato at 0.5 s ft/s?

A: s(t)=-81t2+225t+3acceleration a(t)=s''(t)consider s(t)=-81t2+225t+3Differentiate with respect to…

Q: An impulse of -9 N*sec is applied during 3 seconds to a 2Kg mass, the acceleration is:

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Q: A spherical balloon is being filled with air at the constant rate of 2 cm³ How fast is the radius…

A: Given that The spherical balloon is being filled with air at constant rate of 2cm3/sec. Since the…

Q: 3. The period of free undamped oscillations of a mass on a spring is sec. If the spring constant is…

A: Given: We have to find: Numerical value of weight.

Q: 2. A woman standing on a cliff is watching a motor boat through a telescope as the boat approaches…

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Q: A 15 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding…

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Q: When a car hits a certain bump on the road, a shock absorber on the car is compressed a distance of…

A: The equation for the damped harmonic motion that gives the displacement y of an object at time t is…

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A: We have a given velocity in term of time . We know , acceleration=dv/dt.

Q: a projectile is fried upward from ground level with an initial velocity of 244 ft/sec. how high will…

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