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
Anna71 [15]
3 years ago
6

A person pushes a 10 kg box from rest and accelerates it to a speed of 4 m/s with a constant force. If the box is pushed for a t

ime of 2.5 s, what is the force exerted by the person?
Physics
1 answer:
lutik1710 [3]3 years ago
7 0

The box is accelerated from rest to 4 m/s in a matter of 2.5 s, so its acceleration <em>a</em> is such that

4 m/s = <em>a</em> (2.5 s)   →   <em>a</em> = (4 m/s) / (2.5 s) = 1.6 m/s²

Then the force applied to the box has a magnitude <em>F</em> such that

<em>F</em> = (10 kg) (1.6 m/s²) = 16 N

You might be interested in
Using your knowledge of momentum explain why cars are designed to have crumple zones?
Molodets [167]

Answer: I think cars are designed to have crumble zone because lets say you're going 60-70 mph and you hit a brick wall that cant move, it would be a very hard jolt causing the beings inside to get thrown forward, but if it has a crumble zone it would slow the the jolt from is slowing down in the hit.

4 0
3 years ago
Consider a vibrating system described by the initial value problem. (A computer algebra system is recommended.) u'' + 1 4 u' + 2
GarryVolchara [31]

Answer:

Therefore the required solution is

U(t)=\frac{2(2-\omega^2)^2}{(2-\omega^2)^2+\frac{1}{16}\omega} cos\omega t +\frac{\frac{1}{2}\omega}{(2-\omega^2)^2+\frac{1}{16}\omega} sin \omega t

Explanation:

Given vibrating system is

u''+\frac{1}{4}u'+2u= 2cos \omega t

Consider U(t) = A cosωt + B sinωt

Differentiating with respect to t

U'(t)= - A ω sinωt +B ω cos ωt

Again differentiating with respect to t

U''(t) =  - A ω² cosωt -B ω² sin ωt

Putting this in given equation

-A\omega^2cos\omega t-B\omega^2sin \omega t+ \frac{1}{4}(-A\omega sin \omega t+B\omega cos \omega t)+2Acos\omega t+2Bsin\omega t = 2cos\omega t

\Rightarrow (-A\omega^2+\frac{1}{4}B\omega +2A)cos \omega t+(-B\omega^2-\frac{1}{4}A\omega+2B)sin \omega t= 2cos \omega t

Equating the coefficient of sinωt and cos ωt

\Rightarrow (-A\omega^2+\frac{1}{4}B\omega +2A)= 2

\Rightarrow (2-\omega^2)A+\frac{1}{4}B\omega -2=0.........(1)

and

\Rightarrow -B\omega^2-\frac{1}{4}A\omega+2B= 0

\Rightarrow -\frac{1}{4}A\omega+(2-\omega^2)B= 0........(2)

Solving equation (1) and (2) by cross multiplication method

\frac{A}{\frac{1}{4}\omega.0 -(-2)(2-\omega^2)}=\frac{B}{-\frac{1}{4}\omega.(-2)-0.(2-\omega^2)}=\frac{1}{(2-\omega^2)^2-(-\frac{1}{4}\omega)(\frac{1}{4}\omega)}

\Rightarrow \frac{A}{2(2-\omega^2)}=\frac{B}{\frac{1}{2}\omega}=\frac{1}{(2-\omega^2)^2+\frac{1}{16}\omega}

\therefore A=\frac{2(2-\omega^2)^2}{(2-\omega^2)^2+\frac{1}{16}\omega}   and        B=\frac{\frac{1}{2}\omega}{(2-\omega^2)^2+\frac{1}{16}\omega}

Therefore the required solution is

U(t)=\frac{2(2-\omega^2)^2}{(2-\omega^2)^2+\frac{1}{16}\omega} cos\omega t +\frac{\frac{1}{2}\omega}{(2-\omega^2)^2+\frac{1}{16}\omega} sin \omega t

5 0
3 years ago
A thin film of oil rests on an inclined plane
dolphi86 [110]
What is the question?

3 0
3 years ago
How much extra water does a 147-lb concrete canoe displace compared to an ultralightweight 38-lb kevlar canoe of the same size c
romanna [79]

We use the formula, to calculate the volume of water displaced by concrete canoe,

V =\frac{W}{\gamma }

Here, W is the weight of concrete canoe and \gamma is the specific weight of water and its value is 62.4\ lb/ft^3.

So,

V =\frac{ 147\ lb}{62.4\ lb/ft^3}=2.356\ ft^3.

Now the volume of water occupied in ultra lightweight kevlar canoe,

v=\frac{w}{\gamma}

Here, w is weight of  kevlar canoe.

So,

v=\frac{38\ lb}{62.4\ lb/ft^3} =0.6089\ ft^3

Thus, the volume of water displaced,

=V-v=2.356\ ft^3-0.6089\ ft^3=2.19\ ft^3.

Hence, the volume of water displaced canoe compared to an ultra-lightweight  kevlar canoe is 2.19\ ft^3

5 0
3 years ago
Arrange the steps in order to describe what happens to a gas when it cools
QveST [7]

Answer:

when the gas cools it cools

Explanation:

6 0
3 years ago
Other questions:
  • A table of the visible light spectrum is shown below. A 2 column table with 6 rows. The first column is labeled color with entri
    5·1 answer
  • The mass of an electron is 9.11×10−31 kg. If the de broglie wavelength for an electron in a hydrogen atom is 3.31×10−10 m
    14·1 answer
  • an object is placed in front of a curved mirror as shown. which of the labeled positions is the current position of the image
    6·2 answers
  • Suppose the solar nebula had cooled much more before the solar wind cleared away the remaining gas. In that case, the terrestria
    9·1 answer
  • I want to drive to Miami, which is 675 miles away. If my car gets 24 miles per gallon of gas costs $2.50 a gallon, how much woul
    8·2 answers
  • The amount of _____ that occurs when a sound wave encounters a barrier depends on the wave's wavelength.
    5·1 answer
  • What happens to homeostasis as we get older?
    11·1 answer
  • A large pot is placed on a stove and 1.2 kg of water at 14°C is added to the pot. The temperature of the water is raised evenly
    5·1 answer
  • A track coach measures the 100-meter time of a track athlete. The runner completes the distance in 11.5 seconds. If the stopwatc
    8·2 answers
  • Mrs Harper has a cup full of paper clips some are made of metal and others are made of plastic she wants to separate the metal p
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!