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Margaret [11]
2 years ago
13

You are driving at a reasonable constant velocity in a van with a windshield tilted 120​o​ relative to the horizontal. As you pa

ss under a utility worker fixing a power line, the worker’s wallet falls onto the windshield. Determine the acceleration needed by the van so that the wallet stays in place if frictional forces are negligible.
Physics
1 answer:
Lynna [10]2 years ago
8 0

The vectors are broken into components in orthogonal directions.The orthogonal vector components are treated independently of each other.

The acceleration of van is a= 11 m/s ²

Explanation:

We can solve this problem based on its accelerations , The acceleration due to gravity will have two components relative to the windshield, parallel and perpendicular, given by

g║= g sin θ

g⊥ = g cosθ

The acceleration due to van will also have same two components , but the acceleration is along the horizontal, than vertical the trig functions will be opposite what they were for gravity.

a║= a cos θ

a⊥= a sin θ

To isolate the van's acceleration

 a= g sin (θ) ± μs cos (θ) / cos (θ) ± μs sin (θ)

θ = 180°- 120°

   = 60°

We can assume that van is not decelerating with 30 g's and giving the acceleration of the van as

  a= 11 m/s²

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Answer:

<h2>5.6kW</h2>

Explanation:

Step one:

given

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distance moved= 6m

time taken= 4seconds

Step two:

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but work done is the force applied at a distance, and the power is the work done time the time taken

Work done= F*D

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W= mg*D

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3 0
2 years ago
A planet of mass M and radius R has no atmosphere. The escape velocity at its surface is ve. An object of mass m is at rest a di
zubka84 [21]

Answer:

Explanation:

Expression for escape velocity

ve = \sqrt{\frac{2GM}{R} }

ve² R / 2 = GM

M is mass of the planet , R is radius of the planet .

At distance r >> R , potential energy of object

= \frac{-GMm}{r}

Since the object is at rest at that point , kinetic energy  will be zero .

Total mechanical energy  = \frac{-GMm}{r} + 0 = \frac{-GMm}{r}

Putting the value of GM = ve² R / 2

Total mechanical energy  = ve² Rm / 2 r

This mechanical energy will be conserved while falling down on the earth due to law of conservation of mechanical energy  . So at surface of the earth , total mechanical energy

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8 0
2 years ago
A lamp uses a 230 V mains supply and transfers 96 J of energy every second. Work out the current through the lamp. Give your ans
sertanlavr [38]

Answer:

0.4 A

Explanation:

From the question,

Electric power = Voltage×current

P = VI.......................... Equation 1

Make I the subject of the equation

I = P/V..................... Equation 2

Given: P = 96 J/s, V = 230 V.

Substitute into equation 2

I = 96/230

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Hence the current is 0.4 A

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2 years ago
Experiments using "optical tweezers" measure the elasticity of individual DNA molecules. For small enough changes in length, the
GalinKa [24]

Answer:

Spring constant, k = 0.3 N/m

Explanation:

It is given that,

Force acting on DNA molecule, F=1.5\ nN=1.5\times 10^{-9}\ N

The molecule got stretched by 5 nm, x=5\times 10^{-9}\ m

Let k is the spring constant of that DNA molecule. It can be calculated using the Hooke's law. It says that the force acting on the spring is directly proportional to the distance as :

F=-kx

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k=\dfrac{1.5\times 10^{-9}\ N}{5\times 10^{-9}\ m}

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So, the spring constant of the DNA molecule is 0.3 N/m. Hence, this is the required solution.

8 0
2 years ago
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Answer: 0.24g/ml

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Given that:

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Density = 5.7g /23.5ml

Density = 0.24g/ml

Thus, the density of the piece of cork is 0.24g/ml

8 0
2 years ago
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