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GenaCL600 [577]
3 years ago
14

Choose the most likely outcome of this scenario:

Physics
1 answer:
zhuklara [117]3 years ago
3 0

B. Her mental and emotional health are affected because she is afraid to get back on her bike.

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A 12.0-g rock is placed in a slingshot with a spring constant of 200 N/m. The rock is stretched back 0.500 m. After the slingsho
kaheart [24]

The maximum velocity of the rock is 64.55 m/s

Answer: Option B

<u>Explanation:</u>

The possessed energy by the objects while motion called kinetic energy. It is directly proportionate to mass and square of velocity. The stored energy in the system called potential energy and expressed as below,

\text { potential energy }=\frac{1}{2} \times(\text { spring constant }) \times\left(\text { distance from equilibrium) }^{2}\right.

                  U=\frac{1}{2} \times k \times x^{2}

U = spring’s potential energy in certain place

k = the spring constant, in N/m.

x = the spring’s distance is stretched or compressed away from equilibrium

Conservation of energy states energy neither created nor destroyed but change from one form to other. So, using this concept, equating both potential and kinetic energies equation we get,

            \frac{1}{2} \times m \times v^{2}=\frac{1}{2} \times k \times x^{2}

Given:

m = 12 g = 0.012 kg

k = 200 N/m

x = 0.500 m

Substitute these values we get,

         \frac{1}{2} \times 0.012 \times v^{2}=\frac{1}{2} \times 200 \times(0.500)^{2}

         v^{2}=\frac{200 \times 0.25}{0.012}=\frac{50}{0.012}=4166.66

Taking square root, we get,

         v=64.55 \mathrm{m} / \mathrm{s}

7 0
3 years ago
Modern oil tankers weigh over a half-million tons and have lengths of up to one-fourth mile. Such massive ships require a distan
sergiy2304 [10]

(a) -1.46\cdot 10^{-4} m/s^2

The average acceleration of the ship is given by

a=\frac{v-u}{t}

where

v is the final velocity

u is the initial velocity

t is the time elapsed

Here we have:

u=34 km/h =9.44 m/s is the initial velocity

v = 0 is the final velocity

t=18 min =64800 s is the time elapsed

Substituting, we find

a=\frac{0-9.44 m/s}{64800 s}=-1.46\cdot 10^{-4} m/s^2

(b) 4.72 m/s

Assuming the acceleration is uniform, the average velocity of the ship is given by:

v_{avg} = \frac{v+u}{2}

where

v is the final velocity

u is the initial velocity

Here we have:

v = 0

u = 9.44 m/s

So the average velocity of the ship is

v_{avg} = \frac{0+9.44 m/s}{2}=4.72 m/s

6 0
4 years ago
Do all planets orbit the sun in the same direction
horsena [70]

Answer:

No

Explanation:

All planets are different than others and bigger so that means no

8 0
3 years ago
Which of the following materials is an insulator against electric current?
inna [77]
Glass is a very good electrical insulator.
(As long as it's not "leaded" glass.)
6 0
3 years ago
Read 2 more answers
Air is heated in a glass bottle. The heat energy added to the air is 2.0 × 104 joules. What is the change in internal energy of
Liono4ka [1.6K]
The change in internal energy of the gas is \Delta U = 2.0 \cdot 10^4 J.

In fact, the 1st law of thermodynamics states that the change in internal energy of a system is equal to the amount of heat given to the system (Q) plus the work done on the system (W):
\Delta U = Q+W
In this example, no work is done on the bottle so W=0, while the heat given to the system is Q=2.0 \cdot 10^4 J, so the change in internal energy of the gas is
\Delta U = Q = 2.0 \cdot 10^4 J
4 0
3 years ago
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