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NeX [460]
3 years ago
9

A car rounds a 75-m radius curve at a constant speed of 18 m/s. a ball is suspended by a string from the ceiling the car and mov

es with the car. the angle between the string and the vertical is:
Physics
1 answer:
Svetlanka [38]3 years ago
8 0
The angle between the string and the vertical is computed by:
Centripetal acceleration Ac = V²/R = 18²/75 = 4.32 m/s² horizontal 
Gravitational acceleration g = 9.8 m/s² down 

Θ = arctan(Ac/g)
= arctan (4.32m/s^2 / 9.8 m/s^2)
= 23.79° is the answer.
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Mr. Claspell moves 100 N of avocados straight up 2.0 meters.
solniwko [45]

Answer:

see the various answers below

Explanation:

From the given details, we can see that we are required to solve for the work done.

1. Mr. Claspell moves 100 N of avocados straight up 2.0 meters.

Work done= Force*Distance

Work done= 100*2= 200Joules

2. The Flash tackles the Reverse-Flash and pushes him 3.0 meters using a force of 200 N.

Work done= Force*Distance

Work done= 200*3= 600Joules

3. Darth Vader moves a large rock using force. That force is 3.0 N and he moves the rock 15 meters.

Work done= Force*Distance

Work done= 3*15= 45Joules

4. Mario carries Princess Peach 45 meters away from Bowser’s Castle with a force of 5.0 N

Work done= Force*Distance

Work done= 5*45= 225Joules

5. A roller coaster car lifts a group of people 50 m to the top of the roller coaster with a force of 550 N.

Work done= Force*Distance

Work done= 550*50=27500Joules or 27.5kJ

6 0
3 years ago
A car of mass 1200Kilograms moving at 15 m/s the driver applies the brakes for 0.08 seconds and the castles down to 10 meter per
denpristay [2]
  • Initial velocity=u=15m/s
  • Final velocity=v=10m/s
  • Time=0.08s

\\ \sf\longmapsto Acceleration=\dfrac{v-u}{t}

\\ \sf\longmapsto Acceleration=\dfrac{10-15}{0.08}

\\ \sf\longmapsto Acceleration=\dfrac{-5}{0.08}

\\ \sf\longmapsto Acceleration=-62.5m/s^2

5 0
3 years ago
A boy of mass 30.0 kg is sledding down a 70.0-m slope starting from rest. The slope is angled at 15.0° below the horizontal. Aft
Studentka2010 [4]

The speed of the boy and his friend at the bottom of the slope is 16.52 m/s.

<h3>Their speed at the bottom</h3>

Apply the principle of conservation of energy,

E(up) - E(friction) = E(bottom)

mg sin(15) + ¹/₂(M + m)u² - μ(M + m)cos 15 = ¹/₂(M + m)v²

v = \sqrt{2[\frac{mgd \ sin15 \ + \frac{1}{2}(M + m)u^2 \ -\mu (M + m)g cos\ 15 }{M + m}] }

where;

  • u is the speed of the after 28 m

u = √2gh

u = √(2gL sin15)

u = √(2 x 9.8 x 28 x sin 15)

u = 11.92 m/s

v = \sqrt{2[\frac{(30)(9.8)(70) \ sin15 \ + \frac{1}{2}(30 + 50)(11.92)^2 \ - 0.12 (30 + 50)9.8 cos\ 15 }{30 + 50}] }\\\\v = 16.52 \ m/s

Thus, the speed of the boy and his friend at the bottom of the slope is 16.52 m/s.

Learn more about speed here: brainly.com/question/6504879

#SPJ1

8 0
2 years ago
50.0 g of HI is injected into an evacuated 5.00-L rigid cylinder at 340 K. What is the total pressure inside the cylinder when t
Iteru [2.4K]

Answer:

P = 2.18 atm

Explanation:

The strategy here here is to use the ideal gas law

PV = nRT

since we know the temperature, volume and the n, the number of moles is mass/MW, and R is the gas constant 0.08205 LatmK⁻¹mol⁻¹:

MW HI = 127.91 gmol⁻¹

P = ( mass / MW ) x R x T / V

P= (50.0 g / 127.91 gmol⁻¹ ) x 0.08205 LatmK⁻¹mol⁻¹  x 340 K/ 5.00 L

P = 2.18 atm

( rounded to three significant figures which is the number of significant figures for temperature, mass and volume )

6 0
4 years ago
A stone is thrown vertically upward with a speed of 12m/s from the edge of a cliff 70 m high (a) How much later it reaches the b
jonny [76]

Answer

given,

vertical speed of stone,v = 12 m/s

height of the cliff = 70 m

a) time taken by the stone to reach at the bottom of the cliff

We know that,

S = u t + 1/2 a t²

- 70 = 12 t - 0.5 x 9.8 t²

4.9 t² - 12 t - 70 = 0  

solving the equation

t = 5.2 s (neglecting the negative value)

b) again using equation of motion

   v = u + a t

   v = 12 - 9.8 x 5.2

  v = -38.96 m/s

ignoring the negative sign

magnitude of velocity is equal to 38.96 m/s

c) total distance travel by the stone

  vertical distance covered by the stone

 v² = u² + 2 g h

 0 = 12² - 2 x 9.8 x h

 h = 7.34 m

to reach the stone to the same level distance travel be doubled.

Total distance travel by the stone

H = h + h + 70

H = 7.34 x 2 + 70

H = 84.7 m.

8 0
3 years ago
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