PHYSICS HIGH SCHOOL

In a closed system, a cart with a mass of 1.5 kg is rolling to the right at 1.4 m/s, while another cart of mass 1.0 kg is rolling to the left at the same speed. What is the total momentum of the system of two carts?a. 0.0 kgm/s

b. 0.50 kgm/s

c. 0.70 kgm/s

d. 3.5 kgm/s

Answers

Answer 1

Answer:

Answer: The correct option is (c.).

Explanation:

Mass of the cart A= 1.5 kg

Velocity of Cart A = 1.4 m/s towards right

Mass of the cart B = 1.0 kg

Velocity of Cart B = 1.4 m/s towards left

Momentum (P)= Mass × Velocity

$P_A=1.5 kg* 1.4 m/s=2.1 kg m/s$

$P_B=1.0 kg* (-1.4m/s)=-1.4 kg m/s$

(Negative sign means velocity of the cart is in opposite direction of that of the cart A)

Total Momentum = $P_A+P_B=2.10 kg m/s-1.40 kg m/s=0.70 kg m/s$

Hence, the correct option is (c.).

Answer 2

Answer: the momentum is equal to m*v
m is mass
v is speed
so 1.5 kg*1.4m/s + 1 kg*1.4m/s
2.5kg*1.4m/s
3.5 kgm/s
hope it helps

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What is the acceleration due to gravity at a location where a 15 kilogram mass weighs 45 newtons?

Answers

   Weight = (mass) x (acceleration of gravity) .

   45 N = (15 kg) x (acceleration of gravity) .

Divide each side by (15 kg):

   Acceleration of gravity = (45 N) / (15 kg)

   = 3 m/s² .

The acceleration due to gravity at the place where the weight of the body is $45\,{\text{N}}$ is $\boxed{3\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{{{\text{s}}^{\text{2}}}}}}\right.\kern-\nulldelimiterspace}{{{\text{s}}^{\text{2}}}}}}$ .

Further Explanation:

Given:

The mass of the body is $15\,{\text{kg}}$ .

The weight of the body is $45\,{\text{N}}$ .

Concept:

The weight of an object or a body is the measure of the force of the gravity or the Earth’s gravitational force acting on the body. It is the amount of force with which the body is being pulled towards the center of the Earth.

The weight of the body is expressed as the product of the mass and the acceleration due to gravity on the surface.

The expression for the Weight of any body is written as:

$\boxed{W=mg}$

Here, $W$ is the weight of the body, $m$ is the mass and $g$ is the acceleration due to gravity.

Substitute the values of mass and the weight in above expression.

$\begin{aligned}45&=15*g\ng&=\frac{{45}}{{15}}\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{{{\text{s}}^{\text{2}}}}}}\right.\kern-\nulldelimiterspace}{{{\text{s}}^{\text{2}}}}}\n&=3\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{{{\text{s}}^{\text{2}}}}}}\right.\kern-\nulldelimiterspace}{{{\text{s}}^{\text{2}}}}}\n\end{aligned}$

Thus, the acceleration due to gravity at the place where the weight of the body is $45\,{\text{N}}$ is $\boxed{3\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{{{\text{s}}^{\text{2}}}}}}\right.\kern-\nulldelimiterspace} {{{\text{s}}^{\text{2}}}}}}$ .

Learn More:

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Answer Details:

Grade: High School

Subject: Physics

Chapter: Newton’s law of Motion

Keywords:

Weight, mass, acceleration due to gravity, gravity at the location, weighs 45 newtons, 15 kilogram, w=mg, g=3m/s^2, weight of the object.

What is a statement that summarizes a pattern found in nature? A. a scientific law B. a fact C. a scientific theory D. a hypothesis

Answers

A Scientific law is a statement that summarizes a pattern found in nature.

Further Explanation:

A fact is a natural observation which remains the same for several repeated testing under the same circumstances. But a fact cannot be considered a law because it could be proven wrong at some point.

A scientific law is also a fact with a wider scope of being true as compared to a fact. An observation is categorised as a scientific law only when it is true in each and every condition and has a larger scope of being true.

A scientific theory is an explanation of a natural phenomenon based on the scientific law by several testing and observations. A scientific theory is not always true and it can change for a phenomenon based on the new evidences found.

A hypothesis is a mere prediction of a situation without any testing and observation. It is simply an idea behind any observation and it is yet to be tested whether it holds true for the condition or not.

Therefore, a scientific law is the one that explains the patterns and observed phenomenon in nature and holds true in every situation.

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Answer Details:

Grade: High School

Chapter: Scientific laws and theories

Subject: Physics

Keywords: Statement that summarizes, pattern found in nature, scientific law, scientific theory, fact, hypothesis, wider scope, always true.

A. scientific law is a statement that summarizes a pattern found in nature. It is describes an observed phenomenon and has predictive power: it can describe what will happen given a set of initial conditions. Often, a scientific law may be expressed as a mathematical equation.

FURTHER EXPLANATION

B. A fact is an observation that is found to be true by repeated testing. Unlike a scientific law, however, a fact has a level of uncertainty. It is only held true until they are proven false. They are also more specific and localized observations compared to scientific laws which are more general and broad in scope.

C. A scientific theory is an explanation for an observed phenomenon. It attempts to explain in detail why and how an observed phenomenon described by a scientific law happens. It is a hypothesis that has been confirmed through time by repeated testing and validation of the scientific community. However, a theory is not set in stone. When new evidence is found that refutes an existing theory, the theory may be changed or abandoned.

D. A hypothesis is a tentative prediction and explanation about the relationship between two variables – the dependent and independent variables. It is a basic idea and has not been tested yet but will soon be subjected to testing to check whether it holds merit based on the data. Hypotheses may be proven valid or not through testing and experimentation.

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A frictionless, massless pulley is attached to the ceiling, in a gravity field of 9.81 m/s2. Mass M2 is greater than mass m1. The quantities Tn and g are magnitudes.a.The center of mass accelerates.
b.T1 is ..... M1g.
c. T3 is ..... m1g + M2g
d.T1 is ..... T2
e.The magnitude of the acceleration of M2 is ..... the magnitude of the acceleration on m1.
f. T1 + T2 is ..... T3

Answers

Answer:

a. center of mass acceleration supposed to be acceleration due to gravity, 9.81 m/s^2,

b. T1 = 9.81m1 N; c. T3 =9.81(M1+M2) N; d. T3-T1, e. (T3-T1)/M2; f. (M1+M2)T3/M3

Explanation:

Final answer:

In this frictionless, massless pulley system, the center of mass accelerates downward with an acceleration equal to the acceleration due to gravity. The tension in the string connected to mass M1 is equal to M1g, and the tension in the string connected to mass M2 is equal to m1g + M2g. The magnitudes of the accelerations of M1 and M2 are equal, and the sum of the tensions T1 and T2 is equal to the tension T3.

Explanation:

a. The center of mass accelerates: When considering the system as a whole, the acceleration of the center of mass is determined by the net external force acting on the system. In this case, the only external force is the force due to gravity. Therefore, the center of mass accelerates downward with an acceleration equal to g, the acceleration due to gravity.

b. T1 is equal to M1g: The tension in the string connected to mass M1 is equal to the weight of M1, which is given by the formula T1 = M1g.

c. T3 is equal to m1g + M2g: The tension in the string connected to mass M2 is equal to the sum of the weights of M1 and M2, which is given by the formula T3 = m1g + M2g.

d. T1 is equal to T2: Since the pulley is assumed to be frictionless and massless, the tension in the string connected to mass M1 is the same as the tension in the string connected to mass M2.

e. The magnitude of the acceleration of M2 is equal to the magnitude of the acceleration on M1: This is due to the constraint imposed by the tension in the string. Since the tension in the string connecting M1 and M2 is the same, their accelerations must also be the same.

f. T1 + T2 is equal to T3: The sum of the tensions T1 and T2 is equal to the tension T3, as the total force acting on mass M2 is equal to the sum of the individual tensions.

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Kepler found that the orbits of the planets were _____. circular amorphous oval elliptical

Answers

Answer:

elliptical

Explanation:

Nicolaus Copernicus gave the heliocentric theory that sun is at the center if the solar system and all the planets and the moons revolved wound it. according to him, the planets revolved around the sun in circular paths.

But Kepler suggested a different shape of the orbit. According to the laws o planetary motion given by Kepler, the planets revolve around the sun in an elliptical orbit. The sun is at one of its focus.

Kepler found that the orbits of the planets were elliptical.
His work was so convincing that to this day, they still are.

If the truck has a mass of 2,000 kilograms, what is its momentum? Express your answer in kg·m/sec.

Answers

You don't tell us its speed. If that's the full question and there is no indication of a speed, the answer is 0kg.m/s as it has no momentum

Wait but u don't mention speed, so there's no momentum

A copper block is removed from a 310C oven and dropped into 1.10kg of water at 23.0C. The water quickly reaches 33.0C and then remains at that temperature.What is the mass of the copper block? The specific heats of copper and water are 385 J/(kg?K) and 4190 J/(kg?K) respectively. Express your answer to three significant figures and include the appropriate units.

Answers

Answer:

0.432kg or 432g

Explanation:

Copper block is removed from 310C oven.

Mass of water = 1.10kg

Initial temperature of water (θ1) = 23.0C

Final temperature of water (θ2 ) = 33.0C

Specific heat of copper= 385

Specific heat of water = 4190

Let M (copper) be the mass of copper

The amount of heat lost will be absorbed by water

Q (net) = Q(water) + Q(copper) = 0 …………………(1)

Q = MCθ

For water,

Q(water) = M(water) * C(water) * (θ2-θ1)...........(2)

= 1.1 * 4190 * (33.0 -23.0)

= 1.1 *4190 * 10

= 46090J

For copper,

Q(copper) = M(copper) * C(copper) * (33.0 - 310)...........(3)

from equation 1,

Q(copper) = -Q(water)

M(copper) * C(copper) * (33.0 - 310) = - 46090

M(copper) * 385 * (-277) = -46090

M(copper) * 106645 = -46090

M(copper) = -46090 / -106645

M(copper) = 0.432kg

M(copper) = 432g

The mass of copper =432g

Final answer:

The mass of the copper block is 3.69kg.

Explanation:

To find the mass of the copper block, we can use the equation q1 = q2. The heat gained by the water is given by q1 = mcΔT, where m is the mass of the water, c is the specific heat of water, and ΔT is the change in temperature. The heat lost by the copper block is given by q2 = mcΔT, where m is the mass of the copper block, c is the specific heat of copper, and ΔT is the change in temperature. Since the water reaches a final temperature of 33.0°C, the change in temperature is ΔT = 33.0°C - 23.0°C = 10.0°C.

Using the equation q1 = q2, we have mcΔT = mcΔT. Rearranging the equation to solve for the mass of the copper block, we get m = (m1c1ΔT2) / (c2ΔT1), where m1 is the mass of the water, c1 is the specific heat of water, ΔT2 is the change in temperature of the copper block, c2 is the specific heat of copper, and ΔT1 is the change in temperature of the water. Substituting the given values, we have m = (1.10kg * 4190 J/(kg?K) * 10.0°C) / (385 J/(kg?K) * 10.0°C), which simplifies to m = 3.69kg.