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finlep [7]
4 years ago
9

A 3.00-kg object is fastened to a light spring, with the intervening cord passing over a pulley. The pulley is frictionless, and

its inertia may be neglected. The object is released from rest when the spring is unstretched. The ends of a cord hang over the sides of a pulley attached to the ceiling. The left end of the cord is attached to the top of a vertical spring with spring constant k. The bottom of the spring is attached to the flat ground. The right end of the cord is attached to a hanging spherical object with mass 3.00 kg. (a) If the object drops 14.8 cm before stopping, find the spring constant of the spring. N/m (b) If the object drops 14.8 cm before stopping, find the speed of the object when it is 5.20 cm below its starting point.
Physics
1 answer:
Natali5045456 [20]4 years ago
4 0

Answer:

a.) k  = 198.65 N/m

b.) v = 1.68 m/s

Explanation:

a.)

F = kx

k= F/x

k = 3*9.8 / 0.148 = 198.65 N/m

b.)

Potential Energy Lost=Kinetic Energy +Spring energy stored

mgh=1/2 mv^2+1/2 k x^2

3*9.8*(0.148-0.052) = 1/2 * 3 *  v^2 + 1/2* 198.65* (0.148-0.052)²

3/2 *  v^2  = 1.872

v = 1.68 m/s

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mezya [45]

The mechanical work done by the sprinter during this time will be 4537.5 J , the average power the sprinter must generate will be 907.5 W and if the sprinter converts food energy to mechanical energy with an efficiency of 25% then he will be burning calories at 54.20 calories per second.

Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. It is frequently described in its most basic form as the result of force and displacement.

The quantity of energy moved or transformed per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units.. A scalar quantity is power.

Given 75-kg sprinter accelerates from rest to a speed of 11.0 m/s in 5.0 s.

So let,

m = 75 kg

v = 11.0 m/s

t = 5.0 s

So the mechanical work done by the sprinter during this time will be as follow:

W = 0.5 mv²

W = 0.5 (75)(11)²

W = 4537.5 J

The average power the sprinter must generate will be as follow:

Power(P) = W / t

P =  4537.5/5

P = 907.5 W

Only 25% is absorbed. So, the sprinter only absorbed 226.875 J per second which is equal to 54.20 calories per second.

Hence   mechanical work done by the sprinter during this time will be 4537.5 J , the average power the sprinter must generate will be 907.5 W and if the sprinter converts food energy to mechanical energy with an efficiency of 25% then he will be burning calories at 54.20 calories per second.

Learn more about mechanical power here:

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A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.72 x 10^4 rad/s to an angular speed of 5
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Explanation:

ω1= 1.72x10^4 rad/sec

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