Answer:
V = 44.4 units.
Explanation:
In order to solve this problem, we must use the Pythagorean theorem. Which is defined by the following expression.
\(V = \sqrt{(V_{x})^{2} +(V_{y})^{2} }\)
where:
Vx = - 43 units
Vy = 11.1 units
Now replacing:
\(V=\sqrt{(-43)^{2} +(11.1)^{2} }\\V=44.4 units\)
a type of cuckoo clock keeps time by having a mass bouncing on a spring. what force constant is needed to produce a period of 0.600 s for a 0.0100-kg mass?
The timekeeping mechanism of a cuckoo clock involves a mass bouncing on a spring. This type of clock is called a pendulum clock, which works on the principle of harmonic motion.
The period of oscillation of a pendulum depends on its length and the force constant of the spring.
To find the force constant needed to produce a period of 0.600 s for a 0.0100-kg mass, we can use the formula for the period of a simple harmonic oscillator:
T = 2π√(m/k)
where
T is the period,
m is the mass, and
k is the force constant.
Rearranging the formula, we get:
\(k = (4\pi ^2m)/T^2\)
Substituting the given values, we get:
\(k = (4\pi ^2 * 0.0100 kg)/(0.600 s)^2\)
Simplifying the expression, we get:
k = 11.1 N/m
Therefore, a force constant of 11.1 N/m is needed to produce a period of 0.600 s for a 0.0100-kg mass in a cuckoo clock.
This shows how the motion of the mass bouncing on the spring can be used to keep time in a clock.
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I would assume its A. or B.
Answer:
B
Explanation:
remember that you are looking for the value of the graph
to take into account or value a lot: prize, estimate to value your opinion. 2nd: estimate or assign the monetary value of: appraise a necklace. b: qualify or scale in utility, importance or general value: evaluate. value.
3. A girl is running the 200 m dash. She starts by acceleration at 8m/s^2 for 7s. Then continues at this speed until the end of the race. How long did it take for her to complete the race?
Answer:
10.6 s
Explanation:
Given that a girl is running the 200 m dash. She starts by acceleration at 8m/s^2 for 7s. Then continues at this speed until the end of the race. How long did it take for her to complete the race?
Solution.
If she accelerated for 7s, the velocity at which she accelerated will be:
Acceleration = velocity/time
8 = V/7
Make V the subject of the formula by cross multiplying.
V = 8 × 7
V = 56 m/s
She maintains the speed through out the journey.
Speed = distance/time
Make time the subject of formula
Time = distance/speed
Time = 200 / 56
Time = 3.57s
Therefore, she will complete the race by 7 + 3.6 = 10.6 s
A microorganism measures 5 μm in length. Its length in mm would be:
a) 0.05 mm.
b) 50 mm. c) 500 mm. d) 0.005 mm. e) 0.5 mm.
If an organism were 5 μm long, its length in millimeters would be 0.005mm. The correct answer is C
How wide and long are they?When comparing two items, width is used to measure the width between the sides of the objects, whereas length measures the total length between the ends of the objects. An object's height is measured from top to bottom.
What factors determine the length?One can measure length in a variety of quantities, such as centimeters, inches, meters, and so on, in addition to using handspan, foot span, and other techniques. The various length measurement units can be categorized into two groups: non-standard units and standard units.
1μm = 0.001 mm
5 μm = 5 × 0.001 mm = 0.005 mm
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Correct question -
A microorganism measures 5 μm in length. Its length in mm would be
A) 500 mm. B) 50 mm. C) 0.5 mm. D) 0.05 mm. E) 0.005 mm.
which of the following is not evidence for an fp discussion? select one: a. we can not observe exoplanets around most stars. no, we can overcome this by understanding our observational limitations and account for non-detections. b. we have detected planets in the habitable zone. c. the kepler mission discovered 1000s of exoplanets, but it's success rate was very low. d. we observe disks around young stars. e. exoplanets are detected in binary systems.
We have detected planets in the habitable zone s not evidence against the discussion of the Fermi Paradox. Option B is correct.
The fp discussion refers to the Fermi Paradox, which is the apparent contradiction between the high probability of the existence of extraterrestrial civilizations and the lack of evidence for, or contact with, such civilizations. The presence of exoplanets in the habitable zone is actually evidence supporting the discussion of the Fermi Paradox, which asks why we haven't detected any signs of intelligent extraterrestrial life despite the high probability of its existence.
As the inability to observe exoplanets around most stars does not necessarily imply a contradiction with the Fermi Paradox. In fact, this limitation can be accounted for by understanding our observational capabilities and taking into account non-detections in our analysis. Option B is correct.
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LARGE, KINETIC ENERGY, HOLDING, GASES, WEAK Two main factors determine the state of a substance: the forces _- the particles (ions, atoms, and molecules) together and the ___ _o of the particles, whic
Two main factors determine the state of a substance: the forces holding the particles (ions, atoms, and molecules) together and the kinetic energy of the particles, which refers to the energy that particles possess due to their motion.
The forces that hold the particles together are much stronger in solids than in liquids, and stronger in liquids than in gases. For gases, the intermolecular forces that hold the particles together are weak. gases have very low densities and compressibility because the particles are far apart and have very weak intermolecular forces of attraction. The kinetic energy of the particles in gases is quite high, Liquid has more intermolecular forces than gases, and this makes the particles closer to each other than gases. As a result, liquids have a definite volume and shape but can take the shape of their container. The kinetic energy of the particles in liquids is less than that of gases, meaning that they move slower than gas particles and have a limited range of motion.The solids have the strongest intermolecular forces that hold the particles together,
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A ball is thrown vertically upward. As it rises, what happens to its potential energy?
Answer:
Explanation:
As the ball rises, its PE increases because the potential energy is equal to the mass of the ball times gravity times the height of the ball. The higher the height, the higher the PE.
Answer:
According to the law of conservation of energy its kinetic energy is getting converted in to potential energy because of gain in height. So, if the velocity of a ball goes on decreasing when it is thrown vertically upwards. When its velocity becomes zero, its potential energy becomes maximum.
Provide an example of a product you believe is elastic and
explain your answer. Provide an example of a product you believe is
inelastic and explain your answer.
Example of an elastic product: Smartphone
Explanation: A smartphone is an example of an elastic product. When the price of smartphones decreases, consumers tend to buy more of them, and when the price increases, consumers tend to buy fewer.
Example of an inelastic product: Prescription medication
Explanation: Prescription medication is an example of an inelastic product. Inelastic goods are those for which changes in price have little impact on the quantity demanded.
Example of an elastic product: SmartphoneExplanation: A smartphone is an example of an elastic product. When the price of smartphones decreases, consumers tend to buy more of them, and when the price increases, consumers tend to buy fewer. This is because smartphones are considered non-essential goods with substitutes available in the market. If the price of a particular smartphone model increases, consumers have the option to choose a different brand or model that offers similar features at a lower price. Similarly, if the price of smartphones decreases, consumers may be more willing to upgrade their existing devices or purchase additional smartphones as they become more affordable. The demand for smartphones is responsive to changes in price, making it an elastic product.Example of an inelastic product: Prescription medicationExplanation: Prescription medication is an example of an inelastic product. Inelastic goods are those for which changes in price have little impact on the quantity demanded. Prescription medication is often essential for maintaining health and treating medical conditions, and there may be limited substitutes available. When the price of prescription medication increases, consumers may still continue to purchase it regardless of the price change, as their health and well-being depend on it. The demand for prescription medication is relatively unresponsive to changes in price because it is a necessity and does not have easily accessible alternatives. People are generally willing to pay higher prices for medications they need, even if it means reducing spending on other goods and services. Thus, prescription medication is considered an inelastic product.For more such questions on elastic and inelastic product, click on:
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When a comet comes close to the Sun, its volatile ice sublimates and transforms directly from the solid to ________ phase.
When a comet comes near the Sun, its volatile ice sublimates and changes directly from the solid to the gas phase.
Comets are cosmic snowballs of frozen gases, dust, and rocks, orbiting the Sun. When frozen, comets are the size of a small town. As the comet's orbit approaches the Sun, it heats up, spewing gases and dust onto its giant glowing head, larger than most planets.
Comets vaporize when their orbits come to close to the Sun. Comets do not melt in the strict sense of chinging to liquid. However, since they are made up partly of ice and other volatile compounds, comets vaporize (turn directly to gas) when warmed in the vacuum of space by orbiting near the sun.
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Circle the letter of each sentence that is true about calculating the
acceleration of a moving object.
A.) If an object is moving without changing direction, then its acceleration is the change in its speed during one unit of time.
B.) If an object's speed changes by the same amount during each unit of
time, then the acceleration of the object at any time is the same.
C.) To determine the acceleration of an object, you must calculate the
change in velocity during only one unit of time.
D.) If an object's acceleration varies, then you can describe only average
acceleration.
Answer: D
Explanation:
A cheetah runs at 93km/he to the east. This describes the cheetah’s
A.) Displacement
B.) Instantaneous Speed
C.) Average Speed
D.) Average Velocity
true/false. The three (3) main weapons organic to the standard fire team and squad are the M4 Assault Rifle, M203 40mm Grenade Launcher, and the M240 7.62mm Machine Gun.
The statement "the three main weapons organic to the standard fire team and squad are the M4 Assault Rifle, M203 40mm Grenade Launcher, and the M240 7.62mm Machine Gun" is true.
What is an organic weapon?Biologicаl аnd toxin weаpons аre either microorgаnisms like virus, bаcteriа or fungi, or toxic substаnces produced by living orgаnisms thаt аre produced аnd releаsed deliberаtely to cаuse diseаse аnd deаth in humаns, аnimаls or plаnts. Munitions, devices аnd other equipment specificаlly designed to weаponise toxic chemicаls аlso fаll under the definition of chemicаl weаpons.
These three weapons are indeed the main ones organic to a standard fire team and squad, providing a versatile and effective combination of firepower for various combat situations.
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please helllllp shshsu
What is the velocity of an 80 kg person skating across the ice with a kinetic energy of 16, 000 joules?
Answer:
V = 20 m/s
Explanation:
Given the following data;
Mass = 80kg
Kinetic energy = 16,000 joules
To find the velocity;
Kinetic energy can be defined as an energy possessed by an object or body due to its motion.
Mathematically, kinetic energy is given by the formula;
\( K.E = \frac{1}{2}MV^{2}\)
Where;
K.E represents kinetic energy measured in Joules.
M represents mass measured in kilograms.
V represents velocity measured in metres per seconds square.
Substituting into the formula, we have;
16000 = ½*80*V²
16000 = 40V²
V² = 16000/40
V² = 400
Taking the square root of both sides, we have;
V = 20 m/s
A certain vector A, of magnitude 4.68 units, points in a direction 30.7° to the left of the negative y-axis. Find Ax and Ay.
The x-component of A vector is - 2.39 unit.
The y-component of A vector is - 4.02 unit.
What is vector?Vector is a colloquial term that refers to some quantities that cannot be expressed by a single number (a scalar) or to elements of some vector spaces.
The magnitude of A vector is 4.68 unit.
The direction of A vector is 30.7° to the left of the negative y-axis.
So, A vector is in 3rd co-ordinate.
Hence, the x-component of A vector is = - Asin30.7°
= - 4.68 × sin30.7°
= - 2.39 unit.
Hence, the y-component of A vector is = - Acos30.7°
= - 4.68 × cos30.7°
= - 4.02 unit.
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a cat leaps to try to catch a bird. if the cat's jump was at 60° off the ground and its initial velocity was 2.74 m/s, what is the highest point of its trajectory, neglecting air resistance?
The projectile launch relations allow to find the results for the maximum height of the jump of the cat is 0,, 287 m
The projectile launch studies the movement of the body near the earth, let's use the relationship
\(v_y^2 = v_o_y - 2 g y\)
Where v_y is the vertical velocity, v_[oy} the initial vertical velocity, g the acceleration of gravity (g = 9.8 m / s²) and t the time
They indicate that the cat jumped with an initial velocity of v₀ = 2.74 m / s and an angle of θ = 60º, let's use trigonometry to find the components of the velocity
v₀ₓ = v₀ cos 60
\(v_o_y\) = v₀ sin 60
\(v_o_y\) = 2.74 sin 60 = 2.37 m / s
In the point highest trajectory the vertical speed must be zero (v_y = 0), in the attached we can see a diagram of the speeds of the cat
0 = \(v_{oy}^2\) - 2g y
y = \(\frac{v_{oy}^2 }{2g}\)
Let's calculate
y = \(\frac{2.37^2}{2 \ 9.8 }\)
y = 0.287 m
In conclusion with the projectile launch relations we can find the results for the maximum height of the cat jump is 0,, 287 m
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a parabolic mirror on a telescope 30 cm in diameter has a focal length of 15 cm. for the coordinate system shown, write an equation of the parabolic cross section of the mirror.
To write the equation of the parabolic cross-section of the mirror, we can use the standard form of a parabolic equation, y^2 = 4px, where (x, y) represents the coordinates on the mirror and p is the focal length.
In a parabolic mirror, the focal length (f) is equal to half the radius (r) of the mirror. Given that the telescope has a diameter of 30 cm, the radius is half of that, which is 15 cm. Therefore, the focal length is also 15 cm.
In the standard form of a parabolic equation, y^2 = 4px, the parameter p represents the distance between the vertex of the parabola and the focus. Since the focal length is equal to p, we can substitute p = 15 cm into the equation.
Hence, the equation of the parabolic cross-section of the mirror is y^2 = 4 * 15 * x, which simplifies to y^2 = 60x. This equation represents the shape of the parabolic mirror in the given coordinate system, where (x, y) are the coordinates on the mirror and y represents the height of the mirror surface at a given x-coordinate.
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A silver tea spoon is placed in a cup filled with hot tea. After some time, the exposed end of the spoon becomes hot even without a
direct contact with the liquid. This phenomenon can be explained by:
Answer:
As atoms in the spoon vibrates about their equilibrium positions and transfer energy form one end to other end. This process is called conduction.
An object with a mass of 10kg accelerates 16 m/s2 when an unknown force is
applied to it. What is the amount of force?
160 N
9.8 m/s2
165.8 kg
1.6 N
Answer:
The answer is 160 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 10 × 16
We have the final answer as
160 NHope this helps you
Conversion of electromagnetic (EM) energy from the sun into other forms of energy occurs for (select all that apply) a. Biofuels (EM to chemical bonds during photosynthesis)
b. Hydroelectric power (EM to evaporation and precipitation of water)
c. Solar thermal power (EM to motion of exchange fluid)
d. Photovoltaic power (EM to electricity, the movement of particles)
e. Wind power (EM to air movements)
Conversion of electromagnetic (EM) energy from the sun into other forms of energy occurs for the following options:
a. Biofuels
c. Solar thermal power
e. Wind power (EM to air movements)
A- Biofuels: During photosynthesis, plants capture electromagnetic energy from the sun and convert it into chemical energy, stored in the bonds of organic molecules, such as glucose. This process allows for the conversion of EM energy to chemical energy in the form of biofuels.
c. Solar thermal power: Solar thermal power plants use mirrors or lenses to concentrate sunlight, which is then converted into heat energy. This thermal energy can be used to generate steam, which drives a turbine and produces mechanical energy.
e. Wind power: Wind turbines harness the kinetic energy of moving air, which is ultimately driven by the sun's uneven heating of the Earth's surface. The sun's energy heats the atmosphere, creating temperature and pressure gradients that result in wind currents.
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A mixture that forms when one substance dissolves another is called
Answer:
a solution
Explanation: A solution is a homogeneous mixture consisting of a solute dissolved into a solvent .
A fully loaded, slow-moving freight elevator has a cab with a total mass of 1160 kg, which is required to travel upward 52 m in 2.8 min, starting and ending at rest. The elevator's counterweight has a mass of only 990 kg, and so the elevator motor must help. What average power is required of the force the motor exerts on the cab via the cable
The average power of the force the motor exerts on the cab via the cable is P= 1160 x 9.81 x 52 / 168 = 3160.6 W.
The average power is given by the following formula: P= Work done/ Time. Therefore, the work done = Change in the potential energy of the cab, The potential energy of the cab at the end of the ascent is U = mgh, Where m is the mass of the cab, g is the acceleration due to gravity and h is the height the cab ascended. Therefore the potential energy of the cab at the end of the ascent is U = 1160 x 9.81 x 52 joules. The potential energy of the cab at the start of the ascent is zero because it was at rest. Therefore the change in the potential energy of the cab = 1160 x 9.81 x 52 joules
The time taken for the ascent is 2.8 minutes, which is equal to 168 seconds. Therefore the average power of the force the motor exerts on the cab via the cable is P= 1160 x 9.81 x 52 / 168 = 3160.6 W. The above problem can be solved by applying the work-energy principle. The work-energy principle states that the work done on an object is equal to the change in its kinetic and potential energies. Therefore, if an object starts and ends at rest, then the work done on it is equal to the change in its potential energy. In this problem, the cab of the elevator starts and ends at rest and so the work done on it is equal to the change in its potential energy. The formula for average power is given by P = Work done/ Time. Therefore, the first step in solving the problem is to calculate the work done.
In this case, the work done is equal to the change in the potential energy of the cab. The potential energy of the cab at the end of the ascent is given by U = mgh, Where m is the mass of the cab, g is the acceleration due to gravity and h is the height at the cab ascended. Therefore the potential energy of the cab at the end of the ascent isU = 1160 x 9.81 x 52 joulesThe potential energy of the cab at the start of the ascent is zero because it was at rest. Therefore the change in the potential energy of the cab = 1160 x 9.81 x 52 joulesThe time taken for the ascent is 2.8 minutes, which is equal to 168 seconds. Therefore the average power of the force the motor exerts on the cab via the cable is P= 1160 x 9.81 x 52 / 168 = 3160.6 W. The average power of the force the motor exerts on the cab via the cable is 3160.6 W.
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During heavy rain, a section of a mountainside measuring 1.5 km wide horizontally, 0.61 km up along the slope, and 0.63 m deep slips into a valley in a mud slide. Assume that the mud ends up uniformly distributed over a surface area of the valley measuring 0.34 km x 0.34 km and that the mass of a cubic meter of mud is 1900 kg. What is the mass of the mud sitting above a 4.2 m2 area of the valley floor
The mass of the mud sitting above a 4.2 m2 area of the valley floor is approximately 9,481.59 kilograms.
The first step is to calculate the volume of the mud that slipped into the valley. The volume can be determined by multiplying the dimensions of the section that slipped: 1.5 km (width) × 0.61 km (height) × 0.63 m (depth) = 0.57435 cubic kilometers. Next, we need to convert the volume to cubic meters since the mass of the mud is given in kilograms per cubic meter.
There are 1,000,000 cubic meters in one cubic kilometer, so the volume in cubic meters is 0.57435 × 1,000,000 = 574,350 cubic meters. To find the mass of the mud sitting above a 4.2 m2 area of the valley floor, we need to calculate the mass per unit area. This can be done by dividing the total mass of the mud by the total surface area of the valley.
The surface area of the valley is 0.34 km × 0.34 km = 0.1156 square kilometers. Converting this to square meters, we get 0.1156 × 1,000,000 = 115,600 square meters. Finally, we divide the total mass of the mud by the surface area to find the mass per unit area: 574,350 cubic meters × 1900 kg/cubic meter ÷ 115,600 square meters = 9,481.59 kg/m2.
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In physics, vectors are used to represent displacement, velocity, acceleration, force and other quantities that have a specific ___.
direction
mass
speed
scalar
Answer:
B and C
Explanation:
The less mass an object has, the --- its gravitational f
Answer:
The less mass an object has, the less its gravitational [force.]
Explanation:
Newton's Law of Gravity states that \(F_G=\frac{Gm_1m_2}{r^{2}}\). The two m values are the objects' masses, G is the gravitational constant, and r is the distance between the objects' centers. Notice how the mass values are in the fraction's numerator? That means increasing the mass of one or both objects increases \(F_G\). That also implies the inverse; decreasing the mass of one or both objects decreases \(F_G\)!
I hope this helps you understand this concept a little more! Have yourself a fantastic day, 'kay?
Question 3.
A) With the aid of circuit diagram explain the operation of first quadrant chopper. (5 marks)
B) Explain the principle of operation of second quadrant chopper. (5 marks)
C) A 220V, 1500rev/min, 25A permanent-magnet DC motor has armature resistance of 0.3Ω. The motor’s speed is controlled with the first quadrant DC chopper. Calculate the chopper’s duty ratio that yields a motor speed of 750rev/min at rated torque. (15 marks)
The chopper's duty ratio that yields a motor speed of 750 rev/min at rated torque is 0.333.
A) The operation of a first quadrant chopper can be explained using the following circuit diagram:
In a first quadrant chopper, the load (represented by the motor in this case) is connected in series with the chopper switch and the input voltage source. The chopper switch, typically a power electronic device such as a transistor or an IGBT, is used to control the current flowing through the load. When the chopper switch is turned on, current flows through the load, and when it is turned off, the current is blocked.
By controlling the on and off times of the chopper switch, the average voltage applied to the load can be varied, allowing for control of the load current and power. In the first quadrant, the load current and voltage are both positive, meaning that the load operates in the positive power region, such as in a motor driving mode.
B) The principle of operation of a second quadrant chopper is similar to that of a first quadrant chopper, but with the load current and voltage in the negative power region. In a second quadrant chopper, the load (again, typically a motor) is connected in series with the chopper switch and the input voltage source, but the load current and voltage are negative. This allows for control of the load in the negative power region, such as in regenerative braking mode, where the motor acts as a generator and feeds energy back to the source.
C) The chopper's duty ratio that yields a motor speed of 750 rev/min at rated torque, we can use the formula:
Duty ratio (D) = N2 / (N1 + N2)
Where N1 is the desired speed (750 rev/min) and N2 is the rated speed (1500 rev/min).
Substituting the values, we have:
D = 750 / (750 + 1500) = 0.333
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T/F physical restraint may be a reinforcer for some individuals.
True, physical restraint may be a reinforcer for some individuals.
However, it is important to note that the use of physical restraint should only be implemented when necessary and under the guidance of a trained professional. It is not appropriate to use physical restraint as a form of punishment or without careful consideration of its potential risks and negative effects on the individual.
Moreover, it can cause physical harm and psychological distress, particularly if used excessively or inappropriately. Therefore, alternative strategies for managing behavior should be explored whenever possible, and physical restraint should only be used as a last resort in emergency situations where there is a risk of harm to the individual or others.
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True. Physical restraint can be a reinforcer for some individuals, particularly those who engage in self-injurious or aggressive behavior.
The use of physical restraint provides a sense of comfort and security for these individuals, which can be reinforcing.
However, it is important to approach the use of physical restraint with caution and to evaluate its necessity and potential consequences.
The use of physical restraint can have negative effects such as physical injury, psychological trauma, and a loss of dignity and autonomy.
Therefore, alternative interventions should be considered and explored before physical restraint is used.
It is important to prioritize the individual's safety, well-being, and dignity.
The use of physical restraint should be a last resort and should only be used when necessary and in accordance with ethical and legal guidelines.
Therefore, careful evaluation and consideration of the individual's needs, preferences, and risks should be taken into account before the use of physical restraint.
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5. There are 15 chairs inside Room 6M. These chairs are exerting force of gravity
towards each other but they are not moving even a single inch towards one
another. They remain in place, not moving. Why is this so?*
Answer:
nevermind
Explanation:
A 70-kg skier leaves a ski jump at a velocity of 14m/s. What is the skier's momentum at that instant?
a. 5 Nos
c. 980 Nos
b. 50 Nos
d. 9800 Nos
Answer: 980 N*s
Explanation:
an empty beaker is weighed and found to have a mass of 130g. a measuring cylinder contains 50cm3 of an unknown liquid. all the liquid is poured into the beaker which is again weighed and found to have a mass of 170 g. calculate the density of the liquid. pleasee with explanation)
Answer:
0.8 g/cm^3
Explanation:
mass of liquid = mass of beaker + liquid - mass of beaker
= 170g -130g = 40 g
density = mass/ volume
therefore:
density of volume = \(\frac{40g}{50cm^3} = 0.8 g/cm^3\)
where need be for 3 significant figure or 2 decimal place, just add zeros at the back of the 8