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earnstyle [38]
3 years ago
8

Math need help with my homework

Mathematics
1 answer:
adell [148]3 years ago
3 0
I think you should combine like terms
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A 30-N stone is dropped from a height of 10 m and strikes the ground with a speed of 13 m/s.
Anon25 [30]

Answer:

4.1 N

Step-by-step explanation:

We can solve this problem by using considerations about energy.

At the moment the stone is dropped, it has only gravitational potential energy:

PE=mgh

where

mg=30 N is the weight of the stone

h = 10 m is the initial height of the stone

As the stone falls, part of this energy is converted into kinetic energy, while part into thermal energy due to the presence of the air friction, acting opposite to the motion of the stone:

KE+E_t = \frac{1}{2}mv^2 + E_t

where:

m=\frac{mg}{g}=\frac{30}{9.8}=3.06 kg is the mass

v = 13 m/s is the final speed of the stone

E_t is the thermal energy

The thermal energy is actually equal to the work done by the air friction on the stone:

E_t=W=Fh

where

F is the average force of friction

h = 10 m

Since the total energy must be conserved, we can combine the three equations, so we find:

mgh=\frac{1}{2}mv^2+Fh

And solving for F, we find the average force of air friction:

F=\frac{mgh-0.5mv^2}{h}=\frac{(30)(10)-0.5(3.06)(13)^2}{10}=4.1 N

3 0
2 years ago
8 + 3 • 5 - 20 ÷ 4 = ?<br><br> Please use the order of operations
nalin [4]

We must multiply and divide before adding and subtracting here. Working from left to right, we get:

8 + 15 - 5 = ?

8 + 10 = ?

18 (answer)

8 0
2 years ago
Read 2 more answers
This function describes the time, t(d), in seconds, an object takes to hit the ground after falling d feet.
olchik [2.2K]

Answer:

help me plzz

Step-by-step explanation:

The velocity of a particle moving along the x-axis is v(t) = cos(2t), with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by the particle from t = 0 to t = π minutes

7 0
2 years ago
Find the area of the figure. If needed, round to the nearest tenth.
Umnica [9.8K]

Answer:

18 \:ft^2

Step-by-step explanation:

The area of a trapezoid.

(a+b)h\frac{1}{2}

(8+4)3 \times \frac{1}{2}

(12)3 \times \frac{1}{2}

36 \times \frac{1}{2}

=18

6 0
3 years ago
You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the exper
Blababa [14]
5 questions each 4 choices guess 3 out of 5 correctly?

5*4=20    20/3=6.67   ,          My guess is that the outcome of you probably getting 3 / 5 correct is a 79.9 percent chance. 

3 0
2 years ago
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