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taurus [48]
3 years ago
6

If you begin with 40 grams of a radioactive isotope and end with 10 grams, how many half-lifes of the radioactive isotope have p

assed ?
Physics
1 answer:
Rom4ik [11]3 years ago
8 0
30 grams of radioactive isotope have passed.
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Running at maximum speed, it takes a boat times as long to go 10 miles upstream as it does to go 10 miles downstream. If the cur
Greeley [361]

Note: <em>The question states the time to go upstream is a number of times (not explicitly written) the time to go downstream. We'll assume a general number N</em>

Answer:

\displaystyle v_b=\frac{N+1}{N-1}(4\ mph)

Explanation:

<u>Relative Speed</u>

If a boat is going upstream against the water current, the true speed of motion is v_b-v_w, being v_b the speed of the boat and v_w the speed of the water. If the boat is going downstream, the true speed becomes v_b+v_w.

The question states the time to go upstream is a number of times N (not explicitly written) the time to go downstream. The speed of an object is computed as

\displaystyle v=\frac{x}{t}

Where x is the distance traveled and t the time taken for that. The time can be computed by

\displaystyle t=\frac{x}{v}

If t_u is the time for the upstream travel and t_d is the time for the downstream travel, then

t_u=Nt_d

Siince the same distance x= 10 miles is traveled in both cases:

\displaystyle \frac{10}{v_b-v_w}=N\frac{10}{v_b+v_w}

Simplifying and rearrangling

v_b+v_w=N(v_b-v_w)

Operating

v_b+v_w=Nv_b-Nv_w

Solving for v_b

\displaystyle v_b=\frac{N+1}{N-1}v_w

If\ N=2,\ v_w=4\ mph

\displaystyle v_b=\frac{3}{1}(4)=12\ mph

If N=3

\displaystyle v_b=\frac{4}{2}v_w=2(4)=8\ mph

We can use the required value of N to compute the speed of the boat as explained

7 0
3 years ago
Which is faster a bowling ball or a golf ball
timofeeve [1]
Golf ball because it weighs less so it has more power to yeah
8 0
3 years ago
Read 2 more answers
A ball is thrown straight up. What will
Papessa [141]

Answer:

velocity at the top: 0 m/s

acceleration at the top: -9.8 m/s²

Explanation:

Assuming up is positive and down is negative;

The velocity of the ball at the top of its path will be 0 m/s and the acceleration will be negative.

The velocity is 0 m/s because the ball does not move at the top of its path, and it switches from a positive velocity to a negative velocity. It must go through 0 in order to go from positive to negative.

The acceleration, however, is always negative no matter where the ball is in its motion. This negative acceleration causes the ball to slow down as it reaches the top, and speed up as it reaches the bottom.

<u>Think about it:</u> If there wasn't a negative acceleration, and it was instead 0, the ball would never come back down and instead keep going in a straight line.

6 0
2 years ago
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4:list one food chain that is part of the food web.
Sophie [7]
4. Grass - Caterpillar - Hedgehog - Fox
5. Caterpillar, Rabbit, Mouse.
6. Cougar and Fox.
7. Bacteria
8. The bird, hedgehog, Fox and cougar would be effected since the Hedgehogs and birds would soon die out due to the loss of their food. Once they die out, the cougar and Fox would have no predators left to eat.
6 0
3 years ago
Use the techniques to find the unit for speed​
stellarik [79]

Answer:

The formula for speed is speed=<u>d</u><u>i</u><u>s</u><u>t</u><u>a</u><u>n</u><u>c</u><u>e</u>

time

Explanation:

to work out what the units are for speed,you need to know the units for distance and time.In this example,distance is in metres(m) and time is in seconds (s) , so the units for speed is metre per second (m/s).

8 0
3 years ago
Read 2 more answers
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