1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kay [80]
4 years ago
9

*WILL MARK BRAINLIEST FOR RIGHT ANSWER* How much current must be applied across a 60 Ω light bulb filament in order for it to co

nsume 55 W of power? Show your work.
Physics
1 answer:
sp2606 [1]4 years ago
8 0

Answer: The current must be equal to \frac{\sqrt{33} }{6} amps, or ~0.9574 amps.

Explanation:

You can find the current in amperes using ohms and watts from this formula:

I = \sqrt{\frac{P}{R} }

Where P represents power in watts, R represents resistance in ohms, and I represents current in amperes.

You can then substitute 60 and 55 into the equation to find I:

I = \sqrt{\frac{55}{60} } \\I = \frac{\sqrt{55} }{\sqrt{60} }

Then, simplify the denominator:

I = \frac{\sqrt{55} }{2\sqrt{15} }

Rationalize the denominator:

I = \frac{\sqrt{55} }{2\sqrt{15} } * \frac{\sqrt{15} }{\sqrt{15} } = \frac{\sqrt{825} }{30}

Simplify the numerator by finding its factors:

I = \frac{5\sqrt{33} }{30} = \frac{\sqrt{33} }{6}

The current must be equal to \frac{\sqrt{33} }{6} amps, or ~0.9574 amps.

You might be interested in
A 84-kg man stands on a bathroom scale inside an elevator. the scale measures in units of newtons. (a) the elevator accelerates
valentina_108 [34]

Answer:

  94 kg

Explanation:

The mass registered by the scale is based on the assumption that the force applied is due entirely to gravity. If the force is greater, then the indicated mass will be greater.

__

<h3>how many g's</h3>

As a fraction of the acceleration of gravity, the elevator's acceleration is ...

  (1.2 m/s²)/(9.8 m/s²) ≈ 6/49

<h3>net force</h3>

The force required to produce a given acceleration is found by the formula ...

  F = ma . . . . . . . force on mass m to produce acceleration 'a'

When the man is stationary on the scale, the upward force it supplies is balanced by the downward force on the man due to gravity. The force and the mass are proportional, and the constant of proportionality (the acceleration due to gravity) is used to calibrate the scale. More force is thus translated to a higher mass reading.

Since the man's net acceleration is upward at the rate of 6/49×g, the total force applied by the scale is (1 +6/49) = 55/49 times as great as when the man is stationary. This greater force gets translated to a greater mass reading.

The force is equivalent to what would be required to support a stationary man with a mass of ...

  (84 kg)(55/49) = 94 2/7 kg

The scale would read about 94 kg during the upward acceleration period.

3 0
2 years ago
We know that there is a relationship between work and mechanical energy change. Whenever work is done upon an object by an exter
solniwko [45]

Answer:

* roller skates and ice skates.

* roller coaster

Explanation:

One of the best examples for this situation is when we are skating, in the initial part we must create work with a force, it compensates to move, after this the external force stops working and we continue movements with kinetic energy, if there are some ramps, we can going up, where the kinetic energy is transformed into potential energy and when going down again it is transformed into kinetic energy. This is true for both roller skates and ice skates.

Another example is the roller coaster, in this case the motor creates work to increase the energy of the car by raising it, when it reaches the top the motor is disconnected, and all the movement is carried out with changes in kinetic and potential energy. In the upper part the energy is almost all potential, it only has the kinetic energy necessary to continue the movement and in the lower part it is all kinetic; At the end of the tour, the brakes are applied that bring about the non-conservative forces that decrease the mechanical energy, transforming it into heat.

8 0
3 years ago
A car going 50 mph accelerates to pass a truck. Five seconds later the car is
Alex

The vehicle accelerates at 2.648 m/s².

We have:

Initial velocity, u = 50 miles per hour = 22.352 m/s

final velocity, v = 80 miles per hour = 35.762 m/s

Time, t = 5 seconds

The time in hours is:

t = 5 seconds

Now, the acceleration of the car can be calculated using the formula:

v = u + at

35.762 = 22.352 + a(5)

a(5) = 30

a = 2.682 m/s²

From the calculations above, the acceleration of the car is 2.682 m/s².

Ler more about acceleration here:

brainly.com/question/605631

#SPJ9

3 0
2 years ago
A light spring obeys Hooke's law. The spring's unstretched length is 33.5 cm. One end of the spring is attached to the top of a
ZanzabumX [31]

Answer:

807.88N/m

Explanation:

<em>The  question has some missing details in it, nevertheless, based on the given data we want to find the spring constant K</em>

Step one

given data

Unstretched length = 33.5 cm

Final length of the spring = 42.0 cm

Δx= 42-33.5

Δx=8.5cm to m= 0.085m

mass m= 7kg

The force on the spring

F=mg

F= 7*9.81

F=68.67N

Step two:

From Hooke's law, we can make k subject of formula and find the spring constant k, we have

F=kΔx---------1

make k subject of the formula

k=F/Δx

k= 68.67/ 0.085

k=807.88N/m

4 0
3 years ago
A hanging wire made of an alloy of titanium with diameter 0.05 cm is initially 2.7 m long. When a 15 kg mass is hung from it, th
Svet_ta [14]

Answer:

Explanation:

Young's modulus of elasticity Y = stress / strain

stress = force / cross sectional area

= weight of 15 kg / π r²

= 15 x 9.8 / 3.14 x ( .025 x 10⁻² )²

stress = 74.9 x 10⁷ N / m²

strain = Δ L / L , Δ L is change in length and L is original length

Putting the values

strain = .0168 / 2.7 =.006222

Young's modulus of elasticity Y  = 74.9 x 10⁷ / .006222

= 120.88 x 10⁹ N / m² .

8 0
3 years ago
Other questions:
  • What characteristics of venus's atmosphere make the planet so harsh
    15·1 answer
  • How is the mass of an object affected when the object changes state?
    5·1 answer
  • A car travels 30 miles in two hours, what is its speed?
    14·2 answers
  • A boy sits motionless partway down a playground slide. The force of friction balances the force of gravity. A girl hands the boy
    7·1 answer
  • HELP!!
    14·2 answers
  • The strong nuclear force is
    5·1 answer
  • The range of all electromagnetic radiation is known as the
    13·1 answer
  • If you go to space at 15000 mph. how long would it take you at the same speed to reach mars
    11·1 answer
  • Mr Bissell creates a diagram of electric and magnetic fields to teach his students about the concepts. He includes the similarit
    12·1 answer
  • A certain spring has a spring constant k1 = 660 N/m as the spring is stretched from x = 0 to x1 = 35 cm. The spring constant the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!