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Tems11 [23]
4 years ago
13

A helicopter is ascending vertically. a passenger accidentally drops her wallet out the sides of the helicopter when it is 160 m

above the ground. if the wallet hits the ground 7s later, at what speed was the helicopter ascending at the moment that the passenger let go of the wallet?
(A) 11.4 m/s
(B) 7.7 m/s
(C) 57.2 m/s
(D) 68.6 m/s
(E) 56.0 m/s
Physics
1 answer:
Advocard [28]4 years ago
8 0

Answer:

(E)56.0 m/s

Explanation:

Height =h=-160 m

Because the wallet moving in downward direction

Time=t=7 s

Final speed of wallet=v=0

We have to find the speed of helicopter ascending  at the moment when the passenger let go of the wallet.

v^2-u^2=2gh

Where g=9.8 m/s^2

Substitute the values

0-u^2=2(-160)\times 9.8

u^2=3136

u=\sqrt{3136}=56m/s

Option (E) is true

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(A) 4.2\cdot 10^5 J

The energy stored by the system is given by

E=Pt

where

P is the power provided

t is the time elapsed

In this case, we have

P = 60 kW = 60,000 W is the power

t = 7 is the time

Therefore, the energy stored by the system is

E=(60,000 W)(7 s)=4.2\cdot 10^5 J

(B) 4830 rad/s

The rotational energy of the wheel is given by

E=\frac{1}{2}I \omega^2 (1)

where

I is the moment of inertia

\omega is the angular velocity

The moment of inertia of the wheel is

I=\frac{1}{2}MR^2=\frac{1}{2}(5 kg)(0.12 m)^2=0.036 kg m^2

where M is the mass and R the radius of the wheel.

We also know that the energy provided is

E=4.2\cdot 10^5 J

So we can rearrange eq.(1) to find the angular velocity:

\omega=\sqrt{\frac{2E}{I}}=\sqrt{\frac{2(4.2\cdot 10^5 J)}{0.036 kg m^2}}=4830 rad/s

(C) 2.8\cdot 10^6 m/s^2

The centripetal acceleration of a point on the edge is given by

a=\omega^2 R

where

\omega=4830 rad/s is the angular velocity

R = 0.12 m is the radius of the wheel

Substituting, we find

a=(4830 rad/s)^2 (0.12 m)=2.8\cdot 10^6 m/s^2

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A 1.05m long rod of negligible weight is supported at its ends by wires A and B of equal length with diameter of B three times t
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A+B+C+D+E+F+G+H+I+J+K+L+M+N+O+P
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A 55 kg cheerleader uses an oil-filled hydraulic lift to hold four 110 kg football players at a height of 1.0 m. If her piston i
AVprozaik [17]

Answer:

D = 55.2 cm

Explanation:

As we know that the total mass of the all four players is given as

M = 4\times 110

M = 440 kg

diameter of the piston of cheer leader is given as

d_1 = 16 cm

are of cross-section is given as

A_1 = \pi r^2

A_1 = \pi(0.08)^2 = 0.02 m^2

mass of the cheer leader is given as

m = 55 kg

so the pressure due to cheer leader is given as

P_{in} = \frac{mg}{A_1}

P_{in} = \frac{55 \times 9.81}{0.02}

P_{in} = 26835 Pa

Now on the other side pressure must be same

so we have

\frac{Mg}{A} + \rho gH = P_{in}

\frac{440 \times 9.8}{A} + (900)(9.8)(1) = 26835

A = 0.24 m^2

\pi r^2 = 0.24

r = 0.276 m

so diameter on the other side is given as

D = 2 r

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8 0
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April stands on a flat surface . If she has a mass of 72 what is the nirmal force acting on her
gayaneshka [121]

The normal force acting on April as she stands on a flat surface is 705.6 N.

Normal force of the girl

Fₙ = mg

where;

  • Fₙ is the normal force of the girl
  • m is mass of the girl
  • g is acceleration due to gravity

Fₙ = 72 x 9.8

Fₙ = 705.6 N

Thus, the normal force acting on April as she stands on a flat surface is 705.6 N.

Learn more about normal force here: brainly.com/question/14486416

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