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2 years ago

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A student is on a balcony 15.6 m above the street. She throws a ball vertically downward at 10.7 m/s.

1 answer:

andrew11 [14]2 years ago

3 0

Answer:

20.65 m/s

Explanation:

You are gonna wanna use a calculator for this one

so we will write all the known variables:

h = 15.6 m

initial velocity (u) = 10.7 m/s

acceleration (a) = 10 m/s/s (gravity)

From the third equation of motion:

<em>v² - u² = 2ah</em>

<em>v² - (10.7)² = 2(10)(15.5)</em>

<em>v² - (10.7)² = 312</em>

<em>v² = 312 + 114.49</em>

<em>v² = 426.49</em>

v = 20.65 m/s

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You and your friend Peter are putting new shingles on a roof pitched at 21∘. You're sitting on the very top of the roof when Pet

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Answer:

3.69 m/s

Explanation:

Forces :

mgsin Θ - mumgcosΘ = ma

g x sinΘ - mu x g x cosΘ = a

9.8 x sin 21 - 0.53 x 9.8 x cos 21 = a

a = -1.337 m/s²

so you have final velocity = 0 m/s

initial velocity = ? m/s

Given d = 5.1 m

By kinematics

vf² = vo² + 2ad

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A 19 kg solid disk of radius0.44 m is rotated about an

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Answer:

0.915 Nm

Explanation:

1 revolution = 2π rad

We can use the following equation of motion to find out the acceleration acting on the disk

$\omega^2 - \omega_0^2 = 2\alpha\Delta \theta$

where $\omega v = 2.5 rad/s is the final angular velocity of the disk, [tex]\omega_0$ = 0 rad/s is the initial velocity of the can when it starts from rest, $\Delta \theta$ is the angular distance traveled, $\alpha$ is the angular acceleration of the disk, which we care looking for:

$2.5^2 - 0 = 2*\alpha*2\pi$

$\alpha = \frac{2.5^2}{2*2\pi} \approx 0.5 rad/s^2$

The moment of inertia of the solid disk is:

$I = \frac{1}{2}mR^2 = \frac{1}{2}19*0.44^2 = 1.8392 kgm^2$

where m is the mass and R is the radius of the disk

The net torque applied is

$T = \alpha*I = 0.5 * 1.8392 = 0.915 Nm$

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A teacher told a learner to react benzene (CH) with chlorine (Cl₂) to

kolezko [41]

The minimum quantity of benzene, C₆H₆ needed for the reaction is 106.67 g

<h3>How to determine the theoretical yield of chlorobenzene, C₆H₅Cl</h3>

From the question given, the following data were obtained

Actual yield = 100 g
Percentage yield = 65%
Theoretical yield =?

Percentage yield = (Actual / Theoretical) × 100

65% = 100 / Theoretical

0.65 = Actual / Theoretical

Cross multiply

0.65 × Theoretical = 100

Divide both sides by 0.65

Theoretical = 100 / 0.65

Theoretical yield = 153.85 g

<h3>How to determine the mass of benzene, C₆H₆ needed</h3>

Balanced equation

C₆H₆ + Cl₂ → C₆H₅Cl + HCl

Molar mass of C₆H₆ = 78 g/mol

Mass of C₆H₆ from the balanced equation = 1 × 78 = 78 g

Molar mass of C₆H₅Cl = 112.5 g

Mass of C₆H₅Cl from the balanced equation = 1 × 112.5 = 112.5 g

SUMMARY

From the balanced equation above,

112.5 g of C₆H₅Cl were obtained from 78 g of C₆H₆

Therefore,

153.85 g of C₆H₅Cl will be produced from = (153.85 × 78) / 112.5 = 106.67 g of C₆H₆

Thus, the minimum amount of benzene, C₆H₆ needed for the reaction is 106.67 g

Learn more about stoichiometry:

brainly.com/question/16735180

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