A bowl contained 19.1 grams of salt. Then, Kaitlin poured in another 77.49 grams. How much salt does the bowl contain now?

Answers

Answer 1

Answer: the bowl contains 96.59 grams now :)

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If the velocity of a body changes from 13 m/s to 30 m/s while undergoing constant acceleration, what's the average velocity of the bodyA-17 m/s B-19.5 m/s C-28 m/s D-21.5 m/s

Many physical quantities are connected by inverse square laws, that is, by power functions of the form f(x)=kx^(-2). In particular, the illumination of an object by a light source is inversely proportional to the square of the distance from the source. Suppose that after dark you are in a room with just one lamp and you are trying to read a book. The light is too dim and so you move halfway to the lamp. How much brighter is the light?

Answers

Answer:

4 times

Explanation:

Since the equation for the illumination of an object, i.e. the brightness of the light, is inversely proportional to the square of the distance from the light source, the form of the function is:

f(x) = k.x⁻²

Where x is the distance between the object and the light force, k is the constant of proportionality, and f(x) is the brightness.

Then, if you move halfway to the lamp the new distance is x/2 and the new brightness (call if F) is :

$F=k(x/2)^(-2)=(k)/((x/2)^2)= (k)/(x^2). 4=f(x).4$

Then, you have found that the light is 4 times as bright as it originally was.

The angle between the two vectors A=3i^+4j^+5k^ and B=3i^+4j^−5k^ will be: a. 90 degree b. 0 degree . 60 degree d. 30 degree

Answers

Answer:

Both vectors have the same X and Y components therefore

the angle between the two vectors is zero

(B) is correct

A thin rod rotates at a constant angular speed. Consider the tangential speed of each point on the rod for the case when the axis of rotation is perpendicular to the rod at its center and at one end. Explain for each case whether there are any points on the rod that have the same tangential speeds.

Answers

Answer:

v = R w

With this expression we see that for each point at different radius the tangential velocity is different

Explanation:

They indicate that the angular velocity is constant, that is

w = dθ / dt

Where θ is the radius swept angle and t the time taken.

The tangential velocity is linear or

v = dx / dt

Where x is the distance traveled in time (t)

In the definition of radians

θ = s / R

Where s is the arc traveled and R the radius vector from the pivot point, if the angle is small the arc (s) and the length (x) are almost equal

θ = x / R

We substitute in the speed equation

v = d (θ R) / dt

The radius is a constant for each point

v = R dθ / dt

v = R w

With this expression we see that for each point at different radius the tangential velocity is different

If the potential energy and the kinetic energy are not the same, where did the leftover energy go?

Answers

Energy cannot be created or destroyed it can only be transformed into a different kind of energy work or power.

If this is the case, then the energy likely left the system through external forces or heat dissipated into the environment.

A bowling ball has a mass of 6 kg. What happens to its momentum when its speed increases from 2 m/s to 4 m/s? A) The initial momentum is 6 kg*m/s, and the final momentum is 3 kg*m/s
B) The initial momentum is 12 kg*m/s, and the final momentum is 24 kg*m/s
C) The initial momentum is 12 kg*m/s, and the final momentum is 3 kg*m/s
D) The inital momentum is 6 kg*m/s, and the final momentum is 12 kg*m/s

Answers

Answer:

B) The initial momentum is 12 kg*m/s, and the final momentum is 24 kg*m/s

Explanation:

The momentum of an object is given by the product between its mass (m) and its velocity (v):

$p=mv$

Let's apply this formula to calculate the initial momentum and final momentum of the ball:

- initial momentum:

$p_i = m v_i = (6 kg)(2 m/s)=12 kg m/s$

- Final momentum:

$p_f = m v_f = (6 kg)(4 m/s)=24 kg m/s$

So, the correct answer is

B) The initial momentum is 12 kg*m/s, and the final momentum is 24 kg*m/s

Momentum = (mass) x (speed)

Choice-B is the correct one.

You travel in a circle, whose circumference is 8 kilometers, at an average speed of 8 kilometers/hour. If you stop at the same point you started from, what is your average velocity?

Answers

Answer: The average velocity will be 0 m/s.

Explanation:

Average velocity is defined as the fraction of displacement and total time.

$\text{Average velocity}=\frac{Displacement}{\text{total time}}$

In the given question, it states that the person stops at the same point from where it started, which means that the displacement of this person is 0 meters.

Therefore, the average velocity becomes:

$\text{Average velocity}=\frac{0}{\text{total time}}=0m/s$

Hence, the average velocity will be 0 m/s.

the answer is 8 kilometers per hour

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