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3 years ago

A package was determined to have a mass of 5.7 kilograms. What's the force of gravity acting on the package on earth?

2 answers:

8 0

1.) The force of gravity is what we call weight, we define it as:
w=mg
w=5,7kg*9,8m/s²
w=55,86kg (b)
2.) We know that:
power=W/t
power=50J/20s
power=2,5Watts (a)
3.) The work done is equal to the potential energy, so:
Epg=mgh
Epg=63kg*9,8m/s²*7m
Epg=4321J
Now we get the power:
power=W/t
power=4321J/5s
power=864Watts
Now:
1HP=746Watts
=1,16HP (b)
4.) We know that:
F=ma
350N=m*10m/s²
m=350N/10m/s²
m=35kg (b)
5.) d.) Aceleration is tha rate of change in velocity, either positive (increasing) or negative (decreasing)

Simora [160]3 years ago

7 0

==> A package was determined . . .

   Weight = (mass) x (gravity)

Gravity on Earth = 9.8 m/s²

   Weight = (5.7 kg) x (9.8 m/s²)

   = 55.86 kg-m/s² .                 1 kg-m/s² = 1 N

==> 50 J of work was performed . . .

   Power = (work done) / (time to do the work)

   = (50 J) / (20 sec)

   = 2.5 J/sec 1 J/sec = 1 watt

==> A 63-kg object needs . . .

   Weight = (mass) x (gravity)
   Work = (force) x (distance)
   Power = (work done) / (time to do the work)

So Power = (mass) x (gravity) x (distance) / (time to lift)

   = (63 kg) x (9.8 m/s²) x (7 m) / (5 sec)

   = (63 x 9.8 x 7) / (5) (kg-m²/s²) / (sec)

   = 864.36 joules/sec

Convert (864.36 watts) x (1 HP/746 watts) = 1.159 HP

(How to remember the conversion from watts to Horsepower:
The sails on Columbus' ship the Santa Maria developed 2 HP at top wind.
   1492 / 2 = 746 watts per HP. )

==> A force of 350 N causes . . .

   Force = (mass) x (acceleration)

   Mass = (force) / (acceleration)

   = (350 kg-m/s²) / (10 m/s²)

   = 35 kg.

==> Which of the following . . .

   Golden Rule: "Acceleration means any change in velocity,
   including change in speed or direction."

A). No. Constant velocity means zero acceleration.
B). No. When people say "decelerating" they mean "slowing down".
   That's decreasing magnitude of velocity.
C). Yes. 'Acceleration' does NOT mean 'speeding up'.   Any change
   in speed or direction, even slowing down, is acceleration.
D). Yes. If an object's velocity is changing, then either the speed or direction of its motion is changing, and either of those is 'acceleration'. The object doesn't need to be speeding up or slowing down, but if its direction is changing, then that's called 'acceleration. Rounding a curve at a constant speed, or driving a circle with constant speed, are both examples of 'acceleration'.

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A stone is dropped from a bridge and hits the pavement below in two seconds. What is the velocity of the stone when it hits the

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We have: a = v/t
Here, t = 2 s [ Given ]
a = 9.8 m/s² [constant value for earth system ]

Substitute their values into the expression:
9.8 = v/2
v = 9.8 × 2
v = 19.6 m/s

In short, Your Answer would be Option B

Hope this helps!

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2 years ago

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3 years ago

A small loop of area A = 5.5 mm2 is inside a long solenoid that has n = 919 turns/cm and carries a sinusoidally varying current

Tema [17]

Answer: $410.90\times 10^{-6} V$

Explanation:

Given

$A=5.5 mm^2$

$n=919 turns/cm\approx 85400 turns/m$

$\omega =226 rad/s$

According to the Faraday law of induction, induced emf is given by

$E=-\frac{\mathrm{d} \phi _B}{\mathrm{d} t}$

Magnetic field $\phi _B=B\cdot A$

$B=\mu _0ni=\mu _0ni_osin\left ( \omega t\right )$

$B=4\pi \times 10^{-7}\times 85400\times 3.08\times \sin (226t)$

$B=0.3305\sin (226t)$

$\phi _{B}=0.3305\times \sin (226t)\times 5.5\times 10^{-6}$

$\phi _{B}=1.818\times 10^{-6}\sin (226t)$

$E=-\frac{\mathrm{d} \phi _B}{\mathrm{d} t}$

$E=-1.818\times 10^{-6}\times 226\cos (226t)$

$E=-410.90\times 10^{-6}\cos (226t)$

Amplitude of EMF induced $=410.90\times 10^{-6} V$

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3 years ago

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Which compares the thermal energy found in a piece of coal with the thermal energy found in a newly opened coal mine?

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