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MAXImum [283]
3 years ago
7

A cyclist is riding his bike up a mountain trail. When he starts up the trail, he is going 8 m/s. As the trail gets steeper, he

slows to 3 m/s in 1 minute. What is the cyclist’s acceleration?
Physics
1 answer:
frez [133]3 years ago
8 0

Answer:

\boxed {\boxed {\sf a\approx -0.08 \ m/s^2}}

Explanation:

Acceleration can be found by dividing the change in velocity by the time.

a=\frac{v_f-v_i}{t}

The final velocity is 3 meters per second. The initial velocity is 8 meters per second.

We need to convert the time to seconds.

  • t= 1 minute
  • 60 seconds = 1 minute
  • t=60 seconds

So, we know that:

v_f=3 \ m/s \\v_i= 8 \ m/s\\t= 60 \ s

Substitute the values into the formula.

a=\frac{3 \ m/s - 8 \ m/s}{60 \ s}

Solve the numerator.

  • 3 m/s - 8 m/s = -5 m/s

a=\frac{-5 \ m/s}{60 \ s}

Divide.

a=-0.0833333333 \ m/s/s

Let's round to the nearest hundredth.

The 3 in the thousandth place tells us to leave the 8 in the hundredth place.

a\approx -0.08 \ m/s^2

The cyclist's acceleration is about \boxed {-0.08 m/s^2}

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zubka84 [21]

Answer:

B) What is the enthalpy change, ∆H, for this reaction? Show your work to receive full credit (5 points) The enthalpy change is 150. To find it we must subtract energy of products (200) & the energy of reactants (50) so 200 – 50 equals 150.

Explanation:

B) What is the enthalpy change, ∆H, for this reaction? Show your work to receive full credit (5 points) The enthalpy change is 150. To find it we must subtract energy of products (200) & the energy of reactants (50) so 200 – 50 equals 150.

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3 years ago
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Which value is equivalent to 7.2 kilograms?
Elis [28]
B is the right answer glad I could help !!
3 0
3 years ago
A hot-air balloon and its basket are accelerating upward at 0.265 m/s2, propelled by a net upward force of 688 N. A rope of negl
Sergeu [11.5K]

Question:<em> </em><em>Find, separately, them mass of the balloon and the basket (incidentally, most of the balloon's mass is air)</em>

Answer:

The mass of the balloon is 2295 kg, and the mass of the basket is 301 kg.

Explanation:

Let us call the mass of the balloon m_1 and the mass of the basket m_2, then according to newton's second law:

(1). \:F = (m_1+m_2)a,

where a =0.265m/s^2 is the upward acceleration, and F = 688N is the net propelling force (counts the gravitational force).

Also, the tension T in the rope is 79.8 N more than the basket's weight; therefore,

(2). \:T = m_2g+79.8

and this tension must equal

T -m_2g =m_2a

(3). \:T = m_2g +m_2a

Combining equations (2) and (3) we get:

m_2a = 79.8

since a =0.265m/s^2, we have

\boxed{m_2 = 301.13kg}

Putting this into equation (1) and substituting the numerical values of F and a, we get:

688N = (m_1+301.13kg)(0.265m/s^2)

\boxed{m_1 = 2295 kg}

Thus, the mass of the balloon and the basket is  2295 kg and 301 kg respectively.

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3 years ago
Jane, looking for tarzan, is running at top speed 5.3 m/s and grabs a vine hanging vertically from a tall tree in the jungle. ho
lutik1710 [3]

v₀ = initial speed as tarzan grabs the vine = 5.3 m/s

v = final speed as the tarzan reach the maximum height = 0 m/s

h = maximum height gained by the tarzan

m = mass of tarzan

using conservation of energy

initial kinetic energy = final kinetic energy + potential energy

(0.5) m v²₀ = (0.5) m v² + m g h

(0.5) v²₀ = (0.5) v² + g h

(0.5) (5.3)² = (0.5) (0)² + (9.8) h

h = 1.43 m


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