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k0ka [10]
3 years ago
7

What happens to the temperature during an endothermic reaction? ANSWERS; The temperature stays constant. The temperature will de

crease (get colder). The temperature will increase (get warmer)
Physics
1 answer:
EleoNora [17]3 years ago
6 0

Answer:

The temperature will decrease (get colder).

Explanation:

Enthalpy changes are heat changes accompanying physical and chemical changes. The enthalpy change is the difference between the sum of the heat contents of products and the sum of heat contents of reactants.

  • For an endothermic change, heat is absorbed for the reaction.
  • The surrounding becomes colder at the end of the reaction and so is the reaction itself.
  • The right choice is that the temperature will decrease.
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Answer:

Range of the projectile: approximately 1.06 \times 10^{3}\; {\rm m}.

Maximum height of the projectile: approximately 80\; {\rm m} (approximately 45.0\; {\rm m} above the top of the cliff.)

The projectile was in the air for approximately 7.07\; {\rm s}.

The speed of the projectile would be approximately 155\; {\rm m \cdot s^{-1}} right before landing.

(Assumptions: drag is negligible, and that g = 9.81\; {\rm m\cdot s^{-1}}.)

Explanation:

If drag is negligible, the vertical acceleration of this projectile will be constantly a_{y} = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}. The SUVAT equations will apply.

Let \theta denote the initial angle of elevation of this projectile.

Initial velocity of the projectile:

  • vertical component: u_{y} = u\, \sin(\theta) = 153\, \sin(11.2^{\circ}) \approx 29.71786\; {\rm m\cdot s^{-1}}
  • horizontal component: u_{x} = u\, \cos(\theta) = 153\, \cos(11.2^{\circ}) \approx 150.086\; {\rm m\cdot s^{-1}}.

Final vertical displacement of the projectile: x_{y} = (-35)\; {\rm m} (the projectile landed 35\: {\rm m} below the top of the cliff.)

Apply the SUVAT equation v^{2} - u^{2} = 2\, a\, x to find the final vertical velocity v_{y} of this projectile:

{v_{y}}^{2} - {u_{y}}^{2} = 2\, a_{y}\, x_{y}.

\begin{aligned} v_{y} &= -\sqrt{{u_{y}}^{2} + 2\, a_{y} \, x_{y}} \\ &= -\sqrt{(29.71786)^{2} + 2\, (-9.81)\, (-35)} \\ &\approx (-39.621)\; {\rm m\cdot s^{-1}}\end{aligned}.

(Negative since the projectile will be travelling downward towards the ground.)

Since drag is negligible, the horizontal velocity of this projectile will be a constant value. Thus, the final horizontal velocity of this projectile will be equal to the initial horizontal velocity: v_{x} = u_{x}.

The overall final velocity of this projectile will be:

\begin{aligned}v &= \sqrt{(v_{x})^{2} + (v_{y})^{2}} \\ &= \sqrt{(150.086)^{2} + (-39.621)^{2}} \\ &\approx 155\; {\rm m\cdot s^{-1}} \end{aligned}.

Change in the vertical component of the velocity of this projectile:

\begin{aligned} \Delta v_{y} &= v_{y} - u_{y} \\ &\approx (-39.621) - 29.71786 \\ &\approx 69.3386 \end{aligned}.

Divide the change in velocity by acceleration (rate of change in velocity) to find the time required to achieve such change:

\begin{aligned}t &= \frac{\Delta v_{y}}{a_{y}} \\ &\approx \frac{69.3386}{(-9.81)} \\ &\approx 7.0682\; {\rm s}\end{aligned}.

Hence, the projectile would be in the air for approximately 7.07\; {\rm s}.

Also the horizontal velocity of this projectile is u_{x} \approx 150.086\; {\rm m\cdot s^{-1}} throughout the flight, the range of this projectile will be:

\begin{aligned}x_{x} &= u_{x}\, t \\ &\approx (150.086)\, (7.0682) \\ &\approx 1.06 \times 10^{3}\; {\rm m} \end{aligned}.

When this projectile is at maximum height, its vertical velocity will be 0. Apply the SUVAT equation v^{2} - u^{2} = 2\, a\, x to find the maximum height of the projectile (relative to the top of the 35\; {\rm m} cliff.)

\begin{aligned}x &= \frac{{v_{y}}^{2} - {u_{y}}^{2}}{2\, a} \\ &\approx \frac{0^{2} - 29.71786^{2}}{2\, (-9.81)} \\ &\approx 45.0\; {\rm m}\end{aligned}.

Thus, the maximum height of the projectile relative to the ground will be approximately 45.0\; {\rm m} + 35\; {\rm m} = 80\; {\rm m}.

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