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
Bingel
2 months ago
11

A superhero swings a magic hammer over her head in a horizontal plane. The end of the hammer moves around a circular path of rad

ius 1.50 m at an angular speed of 6.00 rad/s. As the superhero swings the hammer, she then ascends vertically at a constant 2.00 m/s. What is the speed of the end of the hammer relative to the ground? What is the magnitude of acceleration of the end of the hammer? What is the direction of acceleration of the end of the hammer measured as an angle between a⃗and the direction toward the center of the circular path?
Physics
1 answer:
Keith_Richards [3.2K]2 months ago
3 0

Answer:

9.21954 m/s

54 m/s²

The angle is zero

Explanation:

r = Length of the arm = 1.5 m

\omega = Angular velocity = 6 rad/s

The speed's horizontal component can be calculated using

v_h=\omega r\\\Rightarrow v_h=6\times 1.5\\\Rightarrow v_h=9\ m/s

The vertical speed is determined by

v_v=2\ m/s

The combination of these two components yields the hammer’s speed in relation to the ground

v=\sqrt{v_h^2+v_v^2}\\\Rightarrow v=\sqrt{9^2+2^2}\\\Rightarrow v=9.21954\ m/s

The hammer’s speed relative to the ground measures 9.21954 m/s

Acceleration in the vertical direction is zero

The total acceleration is expressed as

a_n=a_h=\omega^2r\\\Rightarrow a_n=6^2\times 1.5\\\Rightarrow a_n=54\ m/s^2

Total acceleration is 54 m/s²

Since acceleration points towards the center, the angle remains zero.

You might be interested in
1200 N-m of torque is used to drive a gear (A) of diameter 25 cm, which in turn drives another gear (B) of diameter 52 cm. What
Ostrovityanka [3204]

Response:

2.5kN.m

Details:

Torque relates directly to the pitch diameter

= Ta/Tb= Da/Db

For 120/Tb= 0.25/0.5

This gives Tb= 2.469kN.m, roughly 2.5kN.m


8 0
1 month ago
Read 2 more answers
A 15.0 cm object is 12.0 cm from a concave mirror that has a focal length of 4.8 cm. Its image is 8.0 cm in front of the mirror.
kicyunya [3294]
The correct answer is -10.
7 0
1 month ago
Read 2 more answers
Sully is riding a snowmobile on a flat, snow-covered surface with a constant velocity of 10 meters/second. The total mass of the
inna [3103]
Result: 168N

The calculation shows 16 - 10 equals 6
and 6 divided by 10 equals 0.6
. Therefore, F equals 280 multiplied by 0.6 equals 168.
7 0
1 month ago
Read 2 more answers
Explain whether or not there is any difference between a light ray emitted by a candle flame and one reflected off the cover of
inna [3103]
The distinction lies in the fact that the candle emits an emission spectrum, while the book reflects an absorption spectrum. In the case of the book, light is observed from all directions, causing its reflection to be diffuse. Explanation: The light emitted by a candle originates from the heat of the flame, composed of a combination of emissions from a black body at that temperature along with emissions from the chemical elements within the candle. On the contrary, the light reflected off a book cover consists of the incident light spectrum minus the wavelengths that trigger electronic transitions in the cover's elements, resulting in dark areas on the spectrum. Consequently, the difference stems from the candle producing an emission spectrum, whereas the book showcases an absorption spectrum. For a book's cover to reflect light specularly, incident rays would need to reflect uniformly, creating dark areas. However, since light is observed from all directions when reflecting off a book, the result is diffuse reflection.
6 0
1 month ago
As computer structures get smaller and smaller, quantum rules start to create difficulties. Suppose electrons move through a cha
Softa [3030]

Answer:

a) ∆x∆v = 5.78*10^-5

∆v = 1157.08 m/s

b) 4.32*10^{-11}

Explanation:

This problem can be addressed using Heisenberg's uncertainty principle, which is expressed as:

\Delta x\Delta p \geq \frac{\hbar}{2}

Where h represents Planck’s constant (6.62*10^-34 J s).

Assuming that the electron's mass remains the same, we proceed as follows:

\Delta x \Delta (m_ev)=m_e\Delta x\Delta v \geq \frac{\hbar}{2}

Utilizing the electron's mass (9.61*10^-31 kg) and the uncertainty in position (50 nm), we can compute ∆x∆v and ∆v:

\Delta x \Delta v\geq\frac{\hbar}{2m_e}=\frac{(1.055*10^{-34}Js)}{2(9.1*10^{-31}kg)}=5.78*10^{-5}\ m^2/s

\Delta v\geq\frac{5.78*10^{-5}}{50*10^{-9}m}=1157.08\frac{m}{s}

If we treat the electron like a classic particle, the time required to cross the channel is determined using the upper limit of the uncertainty in velocity:

t=\frac{x}{v}=\frac{50*10^{-9}m}{1157.08m/s}=4.32*10^{-11}s

6 0
2 months ago
Other questions:
  • Throughout the reflection, make sure you have a copy of the Student Guide, PDF or Word, and your data tables. Use the drop-down
    12·2 answers
  • In which applications are sound waves reflected? Check all that apply.
    7·2 answers
  • Which statements correctly describe forces? Check all that apply.
    10·2 answers
  • A displacement vector is 34.0 m in length and is directed 60.0° east of north. What are the components of this vector? Northward
    15·1 answer
  • A series of parallel linear water wave fronts are traveling directly toward the shore at 15.5 cm/s on an otherwise placid lake.
    12·1 answer
  • A simple watermelon launcher is designed as a spring with a light platform for the watermelon. When an 8.00 kg watermelon is put
    15·1 answer
  • A 100 cm3 block of lead weighs 11N is carefully submerged in water. One cm3 of water weighs 0.0098 N.
    12·1 answer
  • How many times could Haley fly bewteen the two flowers in 1 minute (60 seconds)​
    7·2 answers
  • In a demonstration, a 4.00 cm2 square coil with 10 000 turns enters a larger square region with a uniform 1.50 T magnetic field
    9·1 answer
  • A hockey puck slides off the edge of a table with an initial velocity of 23.2 m/s and experiences no air resistance. The height
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!