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Anastaziya [24]
3 years ago
14

A Cessna 150 aircraft has a lift-off speed of approximately 125 km/h. What minimum constant acceleration does this require if th

e aircraft is to be airborne after a take-off run of 165 m? Answer in units of m/s 2 . 010 (part 2 of 3) 10.0 points What is the corresponding take-off time? Answer in units of s. 011 (part 3 of 3) 10.0 points If the aircraft continues to accelerate at this rate, what speed will it reach 15.1 s after it begins to roll? Answer in units of m/s.
Physics
1 answer:
aivan3 [116]3 years ago
7 0

Answer:

Part a)

a = 3.65 m/s^2

Part b)

t = 9.5 s

Part c)

v_f = 55.1 m/s

Explanation:

Part a)

As we know that it starts from rest and moves on runway by total distance 165 m

so we will have

v_f^2 - v_i^2 = 2ad

v_f^2 - 0 = 2(a)(165)

v_f = 125 km/h = 34.7 m/s

now we have

a = 3.65 m/s^2

Part b)

Now for take off time we will have

v_f - v_i = at

34.7 - 0 = 3.65 t

t = 9.5 s

Part c)

v_f = v_i + at

v_f = 0 + (3.65)(15.1)

v_f = 55.1 m/s

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nirvana33 [79]

Answer:

Part a)

F = 26.7 N

Part b)

a = 66.7 m/s^2

Explanation:

Part a)

Force on the object due to spring force is given as

F = kx

here we know that

k = 157 N/m

x = 0.17 m

so we have

F = 157\times 0.17

F = 26.7 N

Part b)

Acceleration of the object is given as

a = \frac{F}{m}

a = \frac{26.7}{0.40}

a = 66.7 m/s^2

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3 years ago
Is the distance a baseball travels in the air after being hit distance a baseball travels in the air after being hit a discrete
Nookie1986 [14]

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Continuous random variable

Explanation:

The distance that baseball travels after being hit is a random variable and it assume any real value defined on the sample space.

The distance is measurable and thus is continuous random variable because continuous variable cannot be counted but could be measured.

3 0
3 years ago
One object is at rest, and another is moving. The two collide in a one-dimensional, completely inelastic collision. In other wor
zhannawk [14.2K]

Answer:

Part a)

v = 16.52 m/s

Part b)

v = 7.47 m/s

Explanation:

Part a)

(a) when the large-mass object is the one moving initially

So here we can use momentum conservation as the net force on the system of two masses will be zero

so here we can say

m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v

since this is a perfect inelastic collision so after collision both balls will move together with same speed

so here we can say

v = \frac{(m_1v_{1i} + m_2v_{2i})}{(m_1 + m_2)}

v = \frac{(8.4\times 24 + 3.8\times 0)}{3.8 + 8.4}

v = 16.52 m/s

Part b)

(b) when the small-mass object is the one moving initially

here also we can use momentum conservation as the net force on the system of two masses will be zero

so here we can say

m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v

Again this is a perfect inelastic collision so after collision both balls will move together with same speed

so here we can say

v = \frac{(m_1v_{1i} + m_2v_{2i})}{(m_1 + m_2)}

v = \frac{(8.4\times 0 + 3.8\times 24)}{3.8 + 8.4}

v = 7.47 m/s

4 0
3 years ago
A construction worker drops a hammer from a 15 m high building. How fast is it going before it hits the ground?
Nuetrik [128]

Answer:

12.1 m/s

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v^2-u^2=2as

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5 0
3 years ago
A vector is 0.888 m long and points in a 205 degree direction.
Dmitry_Shevchenko [17]

Answer:

-0.805 m

Explanation:

The x-component of a vector is given by:

v_x = v cos \theta

where

v is the magnitude of the vector

\theta is the angle of the vector with respect to the positive x-direction

In this problem we have

v = 0.888 m

\theta=205^{\circ}

so we have

v_x = (0.888 m)(cos 205^{\circ})=-0.805 m

7 0
4 years ago
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