answer.
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
Stella [2.4K]
2 years ago
13

Physics professor Antonia Moreno is pushed up a ramp inclined upward at an angle 31.0 ∘ above the horizontal as she sits in her

desk chair, which moves on frictionless rollers. The combined mass of the professor and chair is 86.0 kg . She is pushed a distance 2.75 m along the incline by a group of students who together exert a constant horizontal force (not parallel to the incline) of 595 N . Dr. Moreno's speed at the bottom of the ramp is 2.40 m/s
Physics
1 answer:
DerKrebs [107]2 years ago
8 0

Answer:

The answer is below

Explanation:

Given that:

mass (m) = 86 kg, distance (L) = 2.75 m, θ = 31°, force (F) = 595 N, initial velocity (v_i) = 2.4 m/s, g = acceleration due to gravity = 9.8 m/s²

The net work can be gotten from the equation:

W_{net}=Fcos(\theta)L-mgsin(\theta)L\\\\W_{net}=595*cos(31)*2.75-[86*9.81*sin(31)*2.75)\\\\W_{net}=1402.54-1194.92\\\\W_{net}=207.62

From the work-energy theorem equation, we can get her speed at the top of the ramp (v_f)

Hence:

W_{net}=change\ in\ kinetic\ energy\\\\W_{net}=\frac{1}{2}m(v_f^2-v_i^2 )\\\\2W_{net}=m(v_f^2-v_i^2 )\\\\v_i=\sqrt{ v_i^2+\frac{2W_{net}}{m}} \\\\v_f=\sqrt{ 2.4^2+\frac{2*207.62}{86}}}\\\\v_f=3.25\ m/s

You might be interested in
A 3.0-cm tall statue is 48 cm in front of a convex lens having a focal length of i. (2 pts) Is the image of the statue real or v
erica [24]

Explanation:

Given that,

Height of object = 3.0 cm

Distance of object u= 48 cm

Focal length = 48 cm

We need to calculate the image distance

Using formula of lens

\dfrac{1}{f}=\dfrac{1}{v}+\dfrac{1}{u}

Put the value into the formula

\dfrac{1}{20}=\dfrac{1}{v}+\dfrac{1}{-48}

\dfrac{1}{v}=\dfrac{1}{20}+\dfrac{1}{48}

\dfrac{1}{v}=\dfrac{17}{240}

v=14.11\ cm

(I). The image is real.

(II).  The distance of the image from the lens is 14.11 cm.

(II). The image is inverted.

(IV). We need to calculate the height of the image

Using formula of magnification

m = \dfrac{v}{u}=\dfrac{h'}{h}

\dfrac{v}{u}=\dfrac{h'}{h}

Put the value into the formula

\dfrac{14.11}{48}=dfrac{h'}{3.0}

h'=\dfrac{14.11}{48}\times3.0

h'=0.88\ cm

The height of the image is 0.88 cm.

Hence, This is the required solution.

6 0
2 years ago
Suppose you have designed a new thermometer called the x thermometer. on the x scale the boiling point of water is 129 ∘x and th
gladu [14]

For any temperature scale the ratio of difference of temperature will be same

so we can write

\frac{T^ox - 12^ox}{129^ox - 12^ox} = \frac{T^of - 32^of}{212^of - 32^of}

now given that in both scales the temperature must be same

\frac{T^ox - 12^ox}{117^ox} = \frac{T^of - 32^of}{180^of}

T - 12 = 0.65 (T - 32)

0.35T = -8.8

T = -25.14 ^ox

<em>so at above temperature both scales will have same temperature</em>

8 0
2 years ago
A football quarterback throws a football. After it leaves his hand, what forces are acting on the football? Choose all that appl
Norma-Jean [14]

Answer:

The force of weight and drag force of the air

Explanation:

This is because when the ball leaves the hand the only force acting on it is the gravity of the earth, therefore its weight, since the force applied by the quarterback is no longer being applied to the ball. You can also consider the drag force of the air in the ball but in some cases it is minimal and can be neglected.

5 0
2 years ago
Read 2 more answers
A student solving a physics problem for the velocity of an object has applied appropriate physics principles and obtained the ex
ElenaW [278]

Answer : 312 meters/second.

Explanation : As the given expression is v=dt−v0;

where v is to be found and rest all values are given;

d is 35 meters

t is 9 seconds

and v0 is 3 seconds

So, when we substitute these values in the equation we get,

v = (35 meters X 9 seconds) - 3 seconds

v = 312

therefore, velocity v will be equal to 312.

8 0
2 years ago
Read 2 more answers
A closed cylinder with a 0.15-m radius ends is in a uniform electric field of 300 n/c, perpendicular to the ends. the total flux
bixtya [17]

The total flux through the cylinder is zero.


In fact, the electric flux through a surface (for a uniform electric field) is given by:

\Phi = E A \cos \theta

where

E is the intensity of the electric field

A is the surface

\theta is the angle between the direction of E and the perpendicular to the surface, whose direction is always outwards of the surface.


We can ignore the lateral surface of the cylinder, since the electric field is parallel to it, therefore the flux through the lateral surface of the cylinder is zero (because \theta=90^{\circ} and \cos \theta=0).


On the other two surfaces, the flux is equal and with opposite sign. In fact, on the first surface the flux will be

\Phi_1 = E \pi r^2

where r is the radius, and where we have taken \theta=0^{\circ} since the perpendicular to the surface is parallel to the direction of the electric field, so \cos \theta=1. On the second surface, however, the perpendicular to the surface is opposite to the electric field, so \theta=180^{\circ} and \cos \theta=-1, therefore the flux is

\Phi_2 = -E \pi r^2

And the net flux through the cylinder is

\Phi = \Phi_1 + \Phi_2 = E \pi r^2 - E \pi r^2=0

4 0
2 years ago
Other questions:
  • Luke investigated the heating of water
    9·1 answer
  • How would you solve for x I cant remember right now 4x+6x=9x-10
    9·2 answers
  • Driving a motor vehicle requires many coordinated functions which are impacted by alcohol and other drugs
    8·1 answer
  • A cart is driven by a large propeller or fan, which can accelerate or decelerate the cart. The cart starts out at the position x
    8·1 answer
  • A 1.25 in. by 3 in. rectangular steel bar is used as a diagonal tension member in a bridge truss. the diagonal member is 20 ft l
    14·1 answer
  • Two speakers face each other, and they each emit a sound of wavelength λ. One speaker is 180∘ out of phase with respect to the o
    12·1 answer
  • If there is a negative sign in front of the Hooke's Law equation, what does the force, F, represent?
    6·1 answer
  • A 35 g steel ball is held by a ceiling-mounted electromagnet 4.0 m above the floor. A compressed-air cannon sits on the floor, 4
    6·1 answer
  • A uniform magnetic field makes an angle of 30o with the z axis. If the magnetic flux through a 1.0 m2 portion of the xy plane is
    15·1 answer
  • The wind blows a jay bird south with a force of 300 Newtons. The
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!