A block of mass m sits at rest on a rough inclined ramp that makes an angle θ with the horizontal. What must be true about force of static friction f on the block?A) f > mg
B) f = mgsin(?)
C) f > mgcos(?)
D) f = mgcos(?)
E) f > mgsin(?)

Answers

Answer 1
Answer:

When the block is at rest, the static frictional force is equal to the horizontal component of the block's weight (F = mgsin(θ)).

The static frictionalforce on the body at rests is determined by applying Newton's second law of motion.

F = ma

where;

  • F is applied force on a body
  • m is the mass of the body
  • a is the acceleration of the body

If the block is at rest, then the net horizontal force on the block is zero.

\Sigma F_x = 0\n\nmg sin(\theta ) - F_s = 0\n\nF_s = mg sin(\theta)

Thus, when the block is at rest, the static frictional force is equal to the horizontal component of the block's weight.

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Answer 2
Answer:

Answer:

Option B

Explanation:

For a system of block on inclined ramp shown in the attached image. From the attached image, the Normal force N, weight mg and frictional force f act on the block.  The sum of vertical forces should be zero just as sum of vertical forces should be zero when the system is in equilibrium condition.

Taking sum of forces along the inclined plane we deduce that  

[tex]f=mgsin \theta[tex]

Therefore, option B is the correct option.


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Differentiate elastic potential energy and chemical potential energy​

Answers

Answer: Elastic energy is the energy store in a.. compacted spring; an extended elastic band; and a drawn bow.  

Chemical potential energy​​ is position of electrons in specific substance bonds that can be broken (energizes).

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This stored energy is released and performs work when the elastic material reverts back to its original position. ... In comparison, chemical potential energy, is the energy released during the formation of chemical compounds.

The basic unit for mass is thea. gram.
c. cubic meter.
b. metric ton.
d. meter.

Answers

Answer: The correct answer is option a.

Explanation:

Basic unit to measure mass is defined as the unit which is commonly used to measure the mass of an object.

From the given options,

Option a: Grams is a unit which is used to measure mass and it is the commonly used unit.

Option b: Cubic meter is the unit which is used to measure the volume of an object.

Option c: Metric ton is a unit which is used to measure the mass of an object but this unit is not commonly used. hence, this is not  basic unit to measure mass.

Option d: Meter is the unit which is used to measure length.

From the above information, the correct answer is option a.

gram according to the metric system

A ship needs to sail to an island that is 1,000 km south of its starting point. If the captain sails south at a steady velocity of 30 km/h for 30 hours, will the ship make it? a) Yes b) No c) Insufficient information d) Maybe

Answers

No, it will not reach its point. Here is why:

Velocity x time

30 x 30 = 900 km

900 km is not equal to 1,000 km so the ship would have to sail for another 10 hours.

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An object is dropped from the edge of a cliff and is moving at 26.5 m/s just before it hits the ground. How high is the cliff?11.0 m

260 m

35.8 m

848 m

Answers

Answer:

  35.8 m

Explanation:

An appropriate formula is ...

  V_f^2-V_i^2=2ad

The initial velocity is 0, and the acceleration due to gravity is 9.8 m/s², so the distance, d, is ...

  d=(26.5^2)/(2\cdot 9.8)\approx 35.8 \quad\text{m/s}

Two identical freight cars roll without friction (one at 1 m/s, the other at 2 m/s) toward each other on a level track. They collide, couple together, and roll away in the direction that _________.

Answers

Answer:

They collide, couple together, and roll away in the direction thatthe 2m/s car was rolling in.

Explanation:

We should start off with stating that the conservation of momentum is used here.

Momentum = mass * speed

Since, mass of both freight cars is the same, the speed determines which has more momentum.

Thus, the momentum of the 2 m/s freight car is twice that of the 1 m/s freight car.

The final speed is calculated as below:

mass * (velocity of first freight car) + mass * (velocity of second freight car) = (mass of both freight cars) * final velocity

(m * V1) + (m * V2) = (2m * V)

Let's substitute the velocities 1m/s for the first car, and - 2m/s for the second. (since the second is opposite in direction)

We get:

m*1 + m*(-2) = 2m*V

solving this we get:

V = - 0.5 m/s

Thus we can see that both cars will roll away in the direction that the 2 m/s car was going in. (because of the negative sign in the answer)

Which statement correctly describes mass-energy equivalence?

Answers

Mass-energy equivalence, as articulated in Einstein's E=mc² equation, indicates that mass can be converted to energy and vice versa. This theory has current practical applications such as the operations in nuclear power plants and in explaining natural phenomena like solar energy generation.

The principle describing mass-energy equivalence is most accurately presented by Albert Einstein's mass-energy equivalence equation, E = mc². In some processes, according to this equation from the theory of special relativity, mass can be converted into energy, and vice versa. This means that we consider mass to be a form of energy, not something distinct.

Examples of this conversion are seen in everyday life and nature. For instance, the sun's energy, the energy from nuclear decay, and even the heat in Earth's interior can be traced back to the mass-energy equivalence. Nuclear power plants and nuclear weapons provide practical examples of mass being converted into energy. In these cases, a tiny fraction of mass is annihilated to produce energy expressed as nuclear radiation.

Therefore, the theory of conservation of mass was supplanted by the more comprehensive theory of conservation of mass-energy which includes the phenomenon of mass-energy equivalence, and is described mathematically in the equation E= mc².

Learn more about Mass-Energy Equivalence here:

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Answer:

C. All energy in the universe is a result of mass being converted into energy.

Explanation:

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