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Arlecino [84]
2 years ago
7

A criminal is escaping across a rooftop and runs off the roof horizontally at a speed of 5.0 m/s, hoping to land on the roof of

an adjacent building. Air resistance is negligible. The horizontal distance between the two buildings is D, and the roof of the adjacent building is 2.0 m below the jumping-off point. Find the maximum value for D.
Physics
1 answer:
lisabon 2012 [21]2 years ago
4 0

Answer:

D = 3.0 m

Explanation:

  • Assuming no other forces than gravity acting upon the criminal, his horizontal velocity must keep constant at 5.0 m/s.
  • So, the horizontal displacement, applying the definition of average velocity, is just:

        \Delta x = v_{h} * t (1)

  • In the vertical direction, the criminal is in free fall, starting from rest.
  • Since we know the dfference in height between both roofs, we can use the kinematic equation for vertical displacement, as follows:

        \Delta h = \frac{1}{2} * g * t^{2}  = 2.0 m

  • Solving for t, we get:

        t =\sqrt{\frac{2*\Delta h}{g}} = \sqrt{\frac{2*2.0m}{9.8m/s2} } = 0.6 s (2)

  • Replacing in (1), we get:

       \Delta x = v_{h} * t = 5.0 m/s * 0.6 s = 3.0 m

  • So, if the horizontal distance between the two buildings is larger than 3.0 m, the criminal will fall to ground.
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motikmotik

Answer:

Explanation:

As the circuit is parallel, then there is no effect of other branches as the potential difference across each arm is same.

6 0
3 years ago
Find the interest. A 105-day note for $14,200 at 8.5% interest.
mr Goodwill [35]
<h3><u>Answer</u>;</h3>

$347.22

<h3><u>Explanation</u>;</h3>

Principal = $14,200

Rate = 8.5%

Time = 105 days = 105/365

Interest = Principal x Rate x Time

Interest = 14,200 x 0.085 x 105/365

Interest = 347.219

             = $347.22

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3 years ago
What is the net power needed to change the speed of a 1600-kg sport utility vehicle from 15.0 m/s to 40.0 m/s in 4.00 seconds
Sergio039 [100]

Answer:

The net power needed to change the speed of the vehicle is 275,000 W

Explanation:

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mass of the sport vehicle, m = 1600 kg

initial velocity of the vehicle, u = 15 m/s

final velocity of the vehicle, v = 40 m/s

time of motion, t = 4 s

The force needed to change the speed of the sport vehicle;

F = \frac{m(v-u)}{t} \\\\F = \frac{1600(40-15)}{4} \\\\F = 10,000 \ N

The net power needed to change the speed of the vehicle is calculated as;

P_{net} = \frac{1}{2} F[u + v]\\\\P_{net} = \frac{1}{2} \times 10,000[15 + 40]\\\\P_{net} = 275,000 \ W

3 0
2 years ago
It is estimated that 26 large pizzas are about right to serve 66 students of a physics club meeting. How many pizzas would be re
Brums [2.3K]

Answer:

The answer to your question is: 15 pizzas

Explanation:

data

26 large pizzas ------ 66 students

? large pizzas --------   38 students

Rule of three

x = 38 (26) / 66 = 14.96 ≈ 15 pizzas

5 0
3 years ago
Find the magnitude of acceleration (ft/s^2) a person experiences when he or she is texting and driving 58mph, hits a wall, and c
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Answer:

350 ft/s²

Explanation:

First, convert mph to ft/s.

58 mi/hr × (5280 ft/mi) × (1 hr / 3600 s) = 85.1 ft/s

Given:

v₀ = 85.1 ft/s

v = 0 ft/s

t = 0.24 s

Find: a

v = at + v₀

a = (v − v₀) / t

a = (0 ft/s − 85.1 ft/s) / 0.24 s

a = -354 ft/s²

Rounded to two significant figures, the magnitude of the acceleration is 350 ft/s².

7 0
3 years ago
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