Find the total displacement of a mouse that travels 1.0m north and then 0.8m south.

Answers

Answer 1

Answer: In this case two vectors are colinear and they have an opposite orientation.
N + ( - S ) = N - S = 1 m - 0.8 m = 0.2 m
Answer:
The total displacement is 0.2 m north.

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Under which conditions will the volume of a gas be greatest?A. T=300K and P=0.25 atm
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Answers

Answer:

help me please

Explanation:

While Sophia was driving to work, she tried to avoid hitting an animal and instead hit a parked car. As the car stopped, her body continued to move forward at the same speed and in the same direction.What happened to Sophia’s body in the car accident is an example of

Answers

This would be an illustration of Newton's first law of motion. Law of inertia, an object moving at constant velocity will keep moving at constant velocity until a force is acted upon it. Inertia is the tendency of an object to keep moving in a particular direction resisting to change, unless a force acts upon the object.

A box contains 9 new light bulbs and 6 used light bulbs. Each light bulb is the same size and shape. Meredith will randomly select 2 light bulbs from the box without replacement. What is the probability Meredith will select a new light bulb and then a used light bulb

Answers

Answer:

(9/35) = 0.257

Explanation:

Box contains 9 new light bulbs and 6 used light bulbs, total number of bulbs = 15.

Probability of selecting two bulbs; a new light bulb and then, a used light bulb in that order = [(probability of selecting a new bulb) × (probability of selecting a used bulb from the rest)] = [(9/15) × (6/14)] = (9/35) = 0.257

Final answer:

The probability that Meredith will select a new bulb and then a used bulb in sequential order without replacement is around 26%.

Explanation:

The question asks about the probability of selecting a new light bulb and then a used light bulb from a box containing 9 new light bulbs and 6 used light bulbs. Probability events like these are solved using multiplication rules of probability that each event is independent.

First, the probability of picking a new bulb is 9/15 (total bulbs are 15). If you pick one out, you don't replace it, so there are only 14 bulbs left. Thus, the probability of picking a used bulb now is 6/14. Hence the probability of both events happening in order is the multiplication of both, i.e., (9/15)*(6/14) = 54/210 = 0.257 or around 26%.

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Deimos completes one (circular) orbit of Mars in 1.26 days. The distance from Mars to Deimos is 2.35×107m. What is the centripetal acceleration of Deimos?

Answers

Answer:

The centripetal acceleration of Deimos is $0.077m/s^(2)$ .

Explanation:

The centripetal acceleration is defined as:

$a = (v^(2))/(r)$ (1)

Where v is the velocity of Deimos and r is the orbital distance.

Notice that is necessary to determine the velocity first.

The speed of the Deimos can be found by means of the Universal law of gravity:

$F = G(M \cdot m)/(r^(2))$ (2)

Then, replacing Newton's second law in equation 2 it is gotten:

$m\cdot a = G(M \cdot m)/(r^(2))$ (3)

However, a is the centripetal acceleration since Deimos almost describes a circular motion around Mars:

$a = (v^(2))/(r)$ (4)

Replacing equation 4 in equation 3 it is gotten:

$m(v^(2))/(r) = G(M \cdot m)/(r^(2))$

$m \cdot v^(2) = G (M \cdot m)/(r^(2))r$

$m \cdot v^(2) = G (M \cdot m)/(r)$

$v^(2) = G (M \cdot m)/(rm)$

$v^(2) = G (M)/(r)$

$v = \sqrt{(G M)/(r)}$ (5)

Where v is the orbital speed, G is the gravitational constant, M is the mass of Mars, and r is the orbital radius.

$v = \sqrt{((6.67x10^(-11)N.m^(2)/kg^(2))(6.39x10^(23)kg))/(2.35x10^(7)m)}$

$v = 1346m/s$

Finally, equation 4 can be used:

$a = ((1346m/s)^(2))/(2.35x10^(7)m)$

$a = 0.077m/s^(2)$

Hence, the centripetal acceleration of Deimos is $0.077m/s^(2)$ .

Final answer:

The centripetal acceleration of Deimos, one of Mars' moon, can be calculated using its orbital period and distance from Mars. Convert the time units to seconds and use the formulas for velocity and centripetal acceleration to get an answer of approximately 7.84x10^-5 m/s^2.

Explanation:

To find the centripetal acceleration of Deimos, we can use the formula for centripetal acceleration, which is a =v^2/r , where v is the velocity and r is the radius (distance from Mars to Deimos). The velocity can be found using the formula v = 2πr/T, where T is the period (time for one complete orbit).

First, convert the days into seconds because the SI unit of time in physics is second. So, 1.26 days = 1.26 * 24 * 60 * 60 = 108864 seconds.

Then, calculate the velocity: v = 2 * π * 2.35x10^7m / 108864s = 1.36 km/s.

Finally, substitute v and r into the centripetal acceleration formula: a = (1.36x10^3m/s)^2 / 2.35x10^7m = 7.84x10^-5 m/s^2.

The centripetal acceleration of Deimos is approximately 7.84x10^-5 m/s^2.

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A car traveling at 37 m/s starts to decelerate steadily. It comes to a complete stop in 6 seconds.what is its acceleration? m/s

Answers

Magnitude of acceleration = (change in speed) / (time for the change)

= (end speed - start speed) / (time for the change)

= (0 - 37 m/s) / (6 sec)

= ( - 37 / 6) (m/s²)

= - 6-1/6 m/s²

= -6.1667 m/s² (rounded)

Which gas law states that the pressure of a gas decreases when volume is increased and the temperature is unchanged? A. Charles' Law
B. The General Gas Law
C. Boyle's Law
D. The Law of Cubic Expansion

Answers

Answer:

Explanation:

According to Boyle's law when we kept the temperature as constant and is we decrease the pressure of the gas then the volume of the gas is increases it means that at pressure and volume are inversely proportional to each other when we take temperature as constant.

So for the given statement Boyle's law will be correct option

So option (c) will be correct option

The answer is C Boyle's Law I believe

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