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adelina 88 [10]
4 years ago
11

A boat has a mass of 6800 kg. Its engines generate a drive force of 4100 N due west, while the wind exerts a force of 800 N due

east and the water exerts a resistive force of 1200 N due east. What are the magnitude and direction of the boat’s acceleration?
Physics
1 answer:
mezya [45]4 years ago
8 0

Answer:

The boat's acceleration are:  a= 0.3 m/s² in west direction.

Explanation:

Fm= 4100 N

Fwi= 800 N

Fwa= 1200 N

Fm - Fwi - Fwa= m *a

clearing a:

a= 0.3 m/s²

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If you climb two sets of stairs each with a height of 4 meters how much work will you do compared to climbing just one set of st
Firlakuza [10]

Answer:

You will do twice the work of climbing 1 stair.

Explanation:

To obtain the answer to the question, we shall determine the work done on each case. This is illustrated below:

Case 1 ( climbing 2 stairs):

Mass (m) = m

One stair = 4 m

Height (h) = 2 × 4 = 8 m

Acceleration due to gravity (g) = 10 m/s²

Workdone 1 (Wd₁) =?

Wd₁ = mgh

Wd₁ = m × 10 × 8

Wd₁ = 80 × m

Case 2 (Climbing 1 stair)

Mass (m) = m

Height (h) = 4 m

Acceleration due to gravity (g) = 10 m/s²

Workdone 2 (Wd₂) =?

Wd₂ = mgh

Wd₂ = m × 10 × 4

Wd₂ = 40 × m

Now comparing the Workdone in both case:

Workdone 1 (Wd₁) = 80 × m

Workdone 2 (Wd₂) = 40 × m

Wd₁ / Wd₂ = 80 × m / 40 × m

Wd₁ / Wd₂ = 2

Cross multiply

Wd₁ = 2 × Wd₂

Thus, we can see that the Workdone in climbing 2 stairs is twice the Workdone in climbing 1 stair.

Therefore, you will do twice the work of climbing 1 stair.

3 0
3 years ago
If We Start With 48 Atoms Of A Radioactive Substance, How Many Would Remain After One Half-life?
balu736 [363]

<span>One half-life produces (1/2) of the decaying substance.

There would still be  48  atoms.  But  24  would have thrown off
particles from their nucleuses, and only  24  would still be radioactive.</span>

4 0
4 years ago
At time t=0, a particle is located at the point (3,6,9). It travels in a straight line to the point (5,2,7), has speed 8 at (3,6
Elis [28]

The particle has constant acceleration according to

\vec a(t)=2\,\vec\imath-4\,\vec\jmath-2\,\vec k

Its velocity at time t is

\displaystyle\vec v(t)=\vec v(0)+\int_0^t\vec a(u)\,\mathrm du

\vec v(t)=\vec v(0)+(2\,\vec\imath-4\,\vec\jmath-2\,\vec k)t

\vec v(t)=(v_{0x}+2t)\,\vec\imath+(v_{0y}-4t)\,\vec\jmath+(v_{0z}-2t)\,\vec k

Then the particle has position at time t according to

\displaystyle\vec r(t)=\vec r(0)+\int_0^t\vec v(u)\,\mathrm du

\vec r(t)=(3+v_{0x}t+t^2)\,\vec\imath+(6+v_{0y}t-2t^2)\,\vec\jmath+(9+v_{0z}t-t^2)\,\vec k

At at the point (3, 6, 9), i.e. when t=0, it has speed 8, so that

\|\vec v(0)\|=8\iff{v_{0x}}^2+{v_{0y}}^2+{v_{0z}}^2=64

We know that at some time t=T, the particle is at the point (5, 2, 7), which tells us

\begin{cases}3+v_{0x}T+T^2=5\\6+v_{0y}T-2T^2=2\\9+v_{0z}T-T^2=7\end{cases}\implies\begin{cases}v_{0x}=\dfrac{2-T^2}T\\\\v_{0y}=\dfrac{2T^2-4}T\\\\v_{0z}=\dfrac{T^2-2}T\end{cases}

and in particular we see that

v_{0y}=-2v_{0x}

and

v_{0z}=-v_{0x}

Then

{v_{0x}}^2+(-2v_{0x})^2+(-v_{0x})^2=6{v_{0x}}^2=64\implies v_{0x}=\pm\dfrac{4\sqrt6}3

\implies v_{0y}=\mp\dfrac{8\sqrt6}3

\implies v_{0z}=\mp\dfrac{4\sqrt6}3

That is, there are two possible initial velocities for which the particle can travel between (3, 6, 9) and (5, 2, 7) with the given acceleration vector and given that it starts with a speed of 8. Then there are two possible solutions for its position vector; one of them is

\vec r(t)=\left(3+\dfrac{4\sqrt6}3t+t^2\right)\,\vec\imath+\left(6-\dfrac{8\sqrt6}3t-2t^2\right)\,\vec\jmath+\left(9-\dfrac{4\sqrt6}3t-t^2\right)\,\vec k

4 0
3 years ago
The air speed of a plane is defined as its velocity with respect to the surrounding air, or in other words how fast the plane wo
amid [387]

Answer:

3

Explanation:

because

7 0
3 years ago
Lee skated 36 miles in 3 hours. What was the speed at which Lee
Zanzabum

Answer:

12mph

Explanation:

36/3=mph

8 0
3 years ago
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