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Vika [28.1K]
3 years ago
14

An external force of 5N is applied to a go-kart that is opposite it’s direction of travel for 5 seconds. What is the resulting m

omentum of the go-kart?
Options:

A: 25 kg m/s

B: 100 kg m/s

C: 975 kg m/s
Physics
1 answer:
Greeley [361]3 years ago
5 0

Answer:

25N.s=25kgm/s

Explanation:

The resulting momentum in this case is equal to the impulse created by the force 5N during 5 seconds

ΔP=Force.time=F.t

    = 5x5=25kgm/s

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Answer:

Farkındıkal

Explanation:

7 0
3 years ago
A wheel with radius 36 cm is rotating at a rate of 19 rev/s.(a) What is the angular speed in radians per second? rad/s(b) In a t
Sedaia [141]

(a) 119.3 rad/s

The angular speed of the wheel is

\omega= 19 rev/s

we need to convert it into radiands per second. We know that

1 rev = 2 \pi rad

Therefore, we just need to multiply the angular speed of the wheel by this factor, to get the angular speed in rad/s:

\omega = 19 rev/s \cdot (2\pi rad/rev))=119.3 rad/s

(b) 596.5 rad

The angular displacement of the wheel in a time interval t is given by

\theta= \omega t

where

\omega=119.3 rad

and

t = 5 s is the time interval

Substituting numbers into the equation, we find

\theta=(119.3 rad/s)(5 s)=596.5 rad

(c) 127.3 rad/s

At t=10 s, the angular speed begins to increase with an angular acceleration of

\alpha = 1.6 rad/s^2

So the final angular speed will be given by

\omega_f = \omega_i + \alpha \Delta t

where

\omega_i = 119.3 rad/s is the initial angular speed

\alpha = 1.6 rad/s^2 is the angular acceleration

\Delta t = 15 s - 10 s = 5 s is the time interval

Solving the equation,

\omega_f = (119.3 rad/s) + (1.6 rad/s^2)(5 s)=127.3 rad/s

(d) 616.5 rad

The angle through which the wheel has rotated during this time interval is given by

\theta = \omega_i \Delta t + \frac{1}{2} \alpha (\Delta t)^2

Substituting the numbers into the equation, we find

\theta = (119.3 rad/s)(5 s) + \frac{1}{2} (1.6 rad/s^2) (5 s)^2=616.5 rad

(e) 222 m

The instantaneous speed of the center of the wheel is given by

v_{CM} = \omega R (1)

where

\omega is the average angular velocity of the wheel during the time t=10 s and t=15 s, and it is given by

\omega=\frac{\omega_i + \omega_f}{2}=\frac{127.3 rad/s+119.3 rad/s}{2}=123.3 rad/s

and

R = 36 cm = 0.36 m is the radius of the wheel

Substituting into (1),

v_{CM}=(123.3 rad/s)(0.36 m)=44.4 m/s

And so the displacement of the center of the wheel will be

d=v_{CM} t = (44.4 m/s)(5 s)=222 m

8 0
3 years ago
During take-off a 5kg model rocket, initially at rest, burns fuel for 4.6s causing its speed to increase from rest to 39m/s duri
MrRa [10]

Answer:

The height is "89.61 m". A further explanation is given below.

Explanation:

According to the question,

Mass of rocket,

m = 5 kg

Time,

t = 4.6 s

Initial speed of rod

u = o m/s

Final speed,

v = 39 m/s

drag,

= 60 N

So,

⇒ acceleration, a=\frac{v-u}{t}

                              =\frac{39-0}{4.6}

                              = 8.478 \ m/s^2

⇒ F_{net}= Net \ force

           =ma

           =5\times 8.478

           =42.89 \ N

Now,

The thrust will be:

⇒ Thrust-weight-drag=Net \ force

⇒ Thrust-(5\times 9.8)-60=42.89

⇒           Thrust-49-60=42.89

⇒                 Thrust-109=42.89

⇒                           Thrust=42.89+109

⇒                           Thrust=151.89 \ N

The height will be:

⇒ h=\frac{1}{2} at^2

      =\frac{1}{2}\times 8.47\times (4.6)^2

      =\frac{1}{2}\times 8.47\times 21.16

      =89.61 \ m

5 0
3 years ago
How do you find the missing terms in a number sentence?
FrozenT [24]

Determine the rule that the numbers in the sequence obey, and then utilize this rule to determine the missing term to complete a number sequence. The rule that the numbers in the example above adhere to is "Add 8 and then remove 2." Therefore, 32 is the term that is missing from the given number sequence.

<h3>What is a number sentence?</h3>
  • A number sentence is an equation or inequality that is articulated using numbers and mathematical symbols in the context of mathematics education.
  • In the US, Canada, UK, Australia, New Zealand, South Africa, and other countries, the phrase is used in the instruction of elementary-level mathematics.
  • The word is employed when asking pupils to write equations using fundamental mathematical symbols.
  • Unknown values are sometimes denoted by boxes or forms.
  • To introduce pupils to the ideas of structure and basic algebra before more formal teaching of these concepts, number sentences are utilized.
<h3>A math sentence is what?</h3>
  • A mathematical statement about two expressions is made.
  • Either integers, variables, or a combination of both are used in the two phrases.
  • Additionally, words or symbols like equals, greater than, or less than can be used in a mathematical phrase.

Learn more about number sentences here:

brainly.com/question/13349953

#SPJ4

5 0
1 year ago
HELP!
dimaraw [331]
The radiations detected by Arno Penzias and Robert Wilson
were the original heat from the Big Bang.

Today, we call those waves the "Cosmic Microwave Background".

I'm not sure, but I think those guys were awarded a Nobel Prize in Physics
for that discovery.
7 0
3 years ago
Read 2 more answers
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