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alexandr402 [8]
2 years ago
14

A car starts from rest , then accelerates at 1.20 m/s^2 fo 7.00 s. It hits the brakes, slowing to a stop at a rate of -4.25 m/s^

2. What is the total distance travelled?
Physics
1 answer:
USPshnik [31]2 years ago
8 0

In the first 7.00 seconds, the car travels a distance of

1/2 (1.20 m/s²) (7.00 s)² = 29.4 m

and after this time it will have reached a speed of

(1.20 m/s²) (7.00 s) = 8.40 m/s

Afterwards, the car slows to a stop under uniform acceleration, so that

0² - (8.40 m/s)² = 2 (-4.25 m/s²) <em>x</em>

where <em>x</em> is the distance traveled in the time it takes for the vehicle to stop. Solve for <em>x</em> :

<em>x</em> = (8.40 m/s)² / (2 (4.25 m/s²)) ≈ 8.30 m

So, the total distance traveled is approximately 29.4 m + 8.30 m ≈ 37.7 m.

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Weight = mass * gravity
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5 0
3 years ago
A 15kg penguin slides on its belly down an icy, frictionless glacier. If the penguin started from rest and reaches a speed of 11
Schach [20]

Answer:

Mechanical Energy (initial) = Mechanical energy (final)

Ep(initial) + Ek(initial) = Ep(final) + Ek(final)

mgh(initial) + 1/2mv²(initial) = mgh(final) + 1/2mv²(final)

m being the mass of the penguin (kg)

g being gravitational acceleration (9.80 m/s²)

v(initial) being zero

h(final) being zero,i.e. final height is zero

v(final) being final velocity

solve for h(initial) being initial height at the top of the glacier

answer will be in metres

NB: don't forget to square the velocity

Explanation:

Since they mentioned frictionless, we know that this is a closed system therefore we are free to use this equation of conservation of mechanical energy

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8 0
2 years ago
How is budgeting different for most states than for the federal government?
meriva

There are three general kinds of state balanced budget requirements:

<span>The governor's proposed budget must be balanced (43 states and Puerto Rico).The budget the legislature passes must be balanced (39 states and Puerto Rico).<span>The budget must be balanced at the end of a fiscal year or biennium, so that no deficit can be carried forward (37 states and Puerto Rico).
</span></span><span>Nature of state balanced-budget requirements All the states except Vermont have a legal requirement of a balanced budget. Some are constitutional, some are statutory, and some have been derived by judicial decision from constitutional provisions about state indebtedness that do not, on their face, call for a balanced budget. The General Accounting Office has commented that "some balanced budget requirements are based on interpretations of state constitutions and statutes rather than on an explicit statement that the state must have a balanced budget."

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5 0
3 years ago
An ideal Diesel cycle has a compression ratio of 18 and a cutoff ratio of 1.5. Determine the (1) maximum air temperature and (2)
weqwewe [10]

Answer:

(1) The maximum air temperature is 1383.002 K

(2) The rate of heat addition is 215.5 kW

Explanation:

T₁ = 17 + 273.15 = 290.15

\frac{T_2}{T_1} =r_v^{k - 1} =18^{0.4} =3.17767

T₂ = 290.15 × 3.17767 = 922.00139

\frac{T_3}{T_2} =\frac{v_3}{v_2} = r_c = 1.5

Therefore,

T₃ = T₂×1.5 = 922.00139 × 1.5 = 1383.002 K

The maximum air temperature = T₃ = 1383.002 K

(2)

\frac{v_4}{v_3} =\frac{v_4}{v_2} \times \frac{v_2}{v_3}  = \frac{v_1}{v_2} \times \frac{v_2}{v_3} = 18 \times \frac{1}{1.5} = 12

\frac{T_3}{T_4} =(\frac{v_4}{v_3} )^{k-1} = 12^{0.4} = 2.702

Therefore;

T_4 = \frac{1383.002}{2.702} =511.859 \ k

Q_1 = c_p(T_3-T_2)

Q₁ = 1.005(1383.002 - 922.00139) = 463.306 kJ/jg

Heat rejected per kilogram is given by the following relation;

c_v(T_4-T_1)  = 0.718×(511.859 - 290.15) = 159.187 kJ/kg

The efficiency is given by the following relation;

\eta = 1-\frac{\beta ^{k}-1}{\left (\beta -1  \right )r_{v}^{k-1}}

Where:

β = Cut off ratio

Plugging in the values, we get;

\eta = 1-\frac{1.5 ^{1.4}-1}{\left (1.5 -1  \right )18^{1.4-1}}= 0.5191

Therefore;

\eta = \frac{\sum Q}{Q_1}

\therefore 0.5191 = \frac{150}{Q_1}

Heat supplied = \frac{150}{0.5191}  = 288.978 \ hp

Therefore, heat supplied = 215491.064 W

Heat supplied ≈ 215.5 kW

The rate of heat addition = 215.5 kW.

7 0
3 years ago
What are the benefits of the cool-down period following exercise?
kvv77 [185]

The benefits of the cool down period are quite important, it allows your body to slow your heart rate at a nice healthy safe pace, if you stop right away it can cause breathing, heart, and muscle problems.


5 0
3 years ago
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