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djverab [1.8K]
4 years ago
13

A mass m is attached to a spring with a spring constant K. If the mass is set into simple harmonic motion by a displacement d fr

om its equilibrium position, what would be the speed, v, of the mass when it returns to the equilibrium position?
A) v = sqrt(md/k)
B) v = sqrt(kd/m)
C) v = sqrtkd/mg)
D) v = d•sqrt(k/m)
Physics
1 answer:
BabaBlast [244]4 years ago
8 0

Answer:

(D), V =d.\sqrt{\frac{K}{m} }

Explanation:

If the mass of the spring is set into simple harmonic motion at equilibrium position, the acceleration becomes zero and the speed will be maximum.

V = Aω

Also, if a mass m is attached to a spring with a spring constant K and  the mass is set into simple harmonic motion by a displacement d from its equilibrium position, then speed becomes;

V = dω

V =d.\sqrt{\frac{K}{m} }

The correct option is D

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Simon is riding a bike at 12 km/h away from his friend Keesha. He throws a ball at 5 km/h back to Keesha, who is standing still
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3 years ago
When you look at yourself in a convex mirror, you appear to be ¼ your actual size. If you are standing 1.0 m in front of the mir
Nookie1986 [14]

Answer:

The focal length is   f  =  -0.2 \  m

The radius of curvature is R = -0.4 \  m

Explanation:

From the question we are told that

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       The distance of the person from the mirror(the object distance ) is  u = - 1.0 \ m

        The negative sign shows that it is been placed in front of the mirror

         

Generally the magnification of the mirror is mathematically represented as

       m  =  \frac{v}{u}

=>   \frac{1}{4}  = \frac{v}{-u}

=>   v  =  \frac{- 1}{4}

Generally from the lens equation we have that

        \frac{1}{f}  = \frac{1}{u}  + \frac{1}{v}

=>     \frac{1}{f}  = \frac{1}{-1 }  + \frac{1}{-\frac{1}{4} }

=>     f  =  -0.2 \  m

Generally the radius of curvature is  mathematically represented as

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=>      R = 2 *   - 0.2

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8 0
3 years ago
A ball rolls onto the path of your car as you drive down a quiet neighborhood street. To avoid hitting the child that runs to re
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Answer:

a) F = -1035.385 N

b) Backwards

c) s = 15.60 m

Explanation:

Given information

u = Initial Speed of Car = 15.0 m/s

v = Final Speed of Car = 9.00 m/s

t_{b} = Breaking Time = 1.30 s

m = Mass of Car = 1040 kg

Part (a)

To find the force exerted on the car we use the following formula

F = ma

Where

F = Force = unknown

m = Mass of Car = 1040 kg

a = Acceleration of Car / Deceleration of Car = unknown

To find the force (F) we need to first find the deceleration rate (a)

To find the deceleration rate we use the following formula

a = \frac{v - u}{t}

Inputting the given values

a = \frac{15 - 9}{1.30} \\ a = -4.615

To find the force

F = ma \\ F = (1040)(-4.615) \\ F = (1040)(-4.615) \\ F = -1035.385 N

Part (b)

Since the value of F is negative this means the the force was opposite the direction of motion, hence the force was backwards.

Part (c)

To find the total distance the car moved while braking we use the following formula

v^2 = u^2 + 2as

Where

s = distance traveled

Inputting the values given

(9)^2 = (15)^2 + 2(-4.615)s

s = 15.60 m

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99 POINTS PLEASE HELP
yarga [219]

the answer to your problem is work

3 0
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