Jenny got a balloon at a party. When she squeezes the balloon, she can squish the air inside it and change the shape of the balloon. Which of the following is/are true about the change that happens when Jenny squishes the balloon? I. It is a physical change. II. It makes a new substance. III. It is a chemical change.

Answer:

B. 25 g

Explanation:

Given:

The initial mass of radioactive isotope is,

There is exponential decay of the isotope with time.

Half life means the time in which the given mass reduces by half. For every half life, the mass reduces by half of the previous mass.

So, for the first half life, the mass that remains is given as:

Now, for the second half life, the mass 50 g is again reduced to half.

So, the mass that remains after 2 half-lives is given as:

Therefore, the radioactive isotope that will remain in the sample after 2 half-lives is 25 g.

Answer:

its 12.5 g for anyone else who had different options

Explanation:

Answer: B. The earth pulls more on the shuttle

Explanation:

Gravitational pull is directly proportional to the mass of the pulling body. In this case, earth's mass is larger than moon's mass, therefore, earth's gravitational pull on satellite will be greater than moon's gravitational pull on satellite.

Answer:

The acceleration of the car is

Explanation:

We are assuming rightward coordinate positive and all quantities are along this direction

We know,

where a - acceleration, v=velocity, t=time and x=displacement

multiply by dx in both sides

but we know

Therefore,

Here we integrate both sides with proper limits

x ranges from 0 to 110 as v ranges from 29 to 34

p = 0, r = 110, q = 29, s = 34

a is given as constant thus can be pulled out of the integration

Therefore,

Accelaration of the car is

Note:

Here moving to the right doesn't mean anything significant other than the fact that all quantities are pointing in that direction. Therefore obtained acceleration is also towards the right

If you know equation of motion for constant acceleration as

you can plug in values in this equation to obtain value of a

v - final velocity

u - initial velocity

s - displacement

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