A horizontal force acts on an object on a fric- tionless horizontal surface. If the force is halved and the mass of the object is doubled, the acceleration will be (1) four times, (2) two times, (3) one-half, (4) one-fourth as great. (b) If the acceleration of the object is , and the force on it is doubled and its mass is halved, what is the new acceleration
(a) If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.
(b) if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.
The force on an object is determined by applying Newton's second law of motion;
F = ma
[tex]\frac{F_1}{m_1a_1} = \frac{F_2}{m_2a_2}[/tex]
(a)
when the force is halved, F₂ = 0.5F₁,
mass is doubled, m₂ = 2m₁
[tex]\frac{F_1}{m_1a_1} = \frac{0.5F_1}{2m_1a_2} \\\\2m_1a_2F_1 = 0.5F_1 m_1a_1\\\\2a_2 = 0.5a_1\\\\a_2 = \frac{0.5a_1}{2} = \frac{a_1}{2 \times 2} = \frac{a_1}{4} \\\\a_2 = \frac{1}{4} (a_1)[/tex]
Thus, If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.
(b)
when the force is doubled, F₂ = 2F₁,
mass is halved, m₂ = 0.5m₁
[tex]\frac{F_1}{m_1 a_1} = \frac{2F_1}{0.5m_1 a_2} \\\\0.5m_1a_2 F_1 = 2F_1m_1a_1\\\\0.5a_2 = 2a_1\\\\a_2 = \frac{2a_1}{0.5} \\\\a_2 = 4(a_1)[/tex]
Thus, if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.
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A box collides with a ball as shown in the diagram below. After the collision, what
will the final momentum of the ball be?
BEFORE COLLISION
AFTER COLLISION
15 kgm/s
3 kgm/s
5 kgm/s
_kgm/s
O 18 kg * m/s
O 5 kg * m/s
O 10 kg * m/s
O 13 kg * m/s
The final momentum of the ball after collision is 13 kg.m/s.
The given parameters;
initial momentum of the box, P₁ = 15 kg.m/sinitial momentum of the ball, P₂ = 3 kg.m/sfinal momentum of the ball, P₃ = 5 kg.m/sLet the final momentum of the ball after collision = P₄
Apply the principle of conservation of linear momentum to determine the final momentum of the ball after collision;
total momentum before collision = total momentum after collision
P₁ + P₂ = P₃ + P₄
15 + 3 = 5 + P₄
18 = 5 + P₄
18 - 5 = P₄
13 = P₄
Thus, the final momentum of the ball after collision is 13 kg.m/s.
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What are tadpoles? How does it look like
Answer: a tadpole is the first or second step into the evolution for a frog
Explanation: a frog starts with the egg then it becomes a tadpole for 6 to 12 weeks before it can start going out the water.
Answer:
Tadpoles are baby frogs. The tadpole looks like a frog with a tail and becomes a froglet around 12 weeks after hatching. The tadpole becomes an adult frog around 13 to 16 weeks after hatching.
Explanation:
I also attached a photo for you
Brainliest or rating please and thank you
what is the acceleration of an object if the force equals 300 N and the mass is 25kg?
Answer:
Explanation: If a net force of 50 N pulls on a 10 kg object, how much acceleration will it cause? Then an answer is possible. Equation: Net force = mass * acceleration.
If force is 150N and area 25cm squared what is the pressure
Explanation:
Force = 150N
Area = 25cm = 25/10000m²
Pressure = F/A = 150/(25/10000) = 1500000/25 = 60000Pa.
hope this helps you.
Helppppppp pleaseeee
Answer: (Sorry, but I don't know how to calculate mass)
1. 15 N
2. 0.4921 [tex]\frac{ft}{s^2}[/tex] (feet per second squared)
4. 150 N
5. 8.202 feet per second squared
Why do larger stars life a shortter life?
Answer:
A star's life expectancy depends on its mass. Generally, the more massive the star, the faster it burns up its fuel supply, and the shorter its life. ... A star with a mass like the Sun, on the other hand, can continue fusing hydrogen for about 10 billion years.
What is the velocity at 10 seconds? PLEASE HELP!!!!!
Answer:
you you don't resource easy answer with great your your food look your photo this must be your photo near me pure cal is your office that is meaning of 5 to 10 2 5 10 20 1234 I don't know that time what to Theri 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 and 30 look this that this is wanting if you understand I look this victory 522436 the answer it 12 thankyou
a bullet with 200g of mass, moving with velocity of 600 m/s. enters to a block of wood and stops in 0.1 sec. what is the average force bullet feels?
a spring vibrates 120 times in 2 mins find its frequency and time period
2 minutes is 120 seconds, so if you were finding vibrations per minute, it would be 60 times a minute.
what the speed and kinetic energy
Answer:
softball＝29.680365296803654
＝29.68/s
horse＝0.8km/m
satellite＝184.028km/m
Explanation:
distance/time
Describe how a roller coaster works in terms of using potential energy and kinetic energy:
Answer:
Traditionally, the coaster cars are pulled up the first hill by a chain; as the cars climb, they gain potential energy. Then, when the cars descend this hill, potential energy is again changed to kinetic energy. This conversion between potential and kinetic energy continues throughout the ride.
Explanation: hi how ya doing
i need help with the second question
Answer:
c i think
Explanation:
What is Obama's last name? PLZ PLZ PLZ THIS IS 500% OF MY GRADE PLS HELP PLS
Answer:
Barack Hussein Obama II
Explanation:
I think
As a falling apple, approaches the ground, its potential energy
Answer:
Decreases.
Explanation:
When an object with potential energy falls to the ground, its potential energy decreases and kinetic energy increases.
John McRighteous has a mass of 90kg. Calculate johns weight.
Answer: W=M*gravity. 90 * 9.8=882N. That is the weight on Earth.
Explanation:
Calculating the weight is W=M*gravity. 90 * 9.8=882N. That is the weight on Earth.
Answer:
198.4 lbs
Explanation:
what is the main deterrant to switching to electrically powered cars?
Answer:
Availability of charging
Explanation:
Assuming the car is not a hybrid and your traveling a very long distance far from civilization, you wouldn't be able to charge the car if it runs out of power as no outlets would be around.
__________ is an example of a directional research hypothesis.
Answer:
Directional hypothesis is an example of a directional research hypothesis.
Explanation:
Directional hypothesis: A directional (or one tailed hypothesis) states which way you think the results are going to go, for example in an experimental study we might say…”Participants who have been deprived of sleep for 24 hours will have more cold symptoms in the following week after exposure to a virus than
is my answer correct?,
“gains electric potential energy”
if not, what’s the correct one?
pls help
sometimes you just gotta take some risks in life. go with that answer
write answers with significant figures:
a) 17.35 g +8.498 g
Answer:
25.9 g
Explanation:
= 17.35
8.498
________+
= 25.848 g = 25.85 g = 25.9 g
*so sorry if wrong
The graph below represents the relationship between velocity and time of travel for a toy car moving in a straight line.the shaded area under the line represents the toy cars
Answer:
Displacement
Explanation:
The definition of speed and the graphical analysis allows to find the result for the question of the meaning of the area under the curve is:
The area corresponds to the displacement of the body.
Velocity is defined as the variation of position with respect to time.
[tex]v = \frac{dx}{dt}[/tex]
Where v is the velocity, x the displacement and t the time.
If we make a graph of speed versus time, see attached, where we have a diagram of the process.
The expression of the velocity for the case of zero acceleration is
[tex]v = \frac{\Delta x}{\Delta t }[/tex]
Δx = v Δt
They indicate that the shaded section is under the curve, therefore it is
Area = Δv Δt
When comparing the two expressions they are equivalent, therefore the area is equal to the distance traveled.
In conclusion, using the definition of velocity and graphical analysis we can find the result for the question of the meaning of the area under the curve is:
The area corresponds to the displacement of the body.
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vector u has a magnitude of 20 and direction of 0°.vector v has amagnitude of 40and a direction of 60°.find the magnitude and direction of the resultant
Addition of vectors:
vector u
has a magnitude of 20 and a direction of 0º with respect to the horizontal, vector v has a magnitude of 40 and a direction of 60º with respect to the horizontal.
a) Find the magnitude and direction of the resultant to the nearest whole
number.
Vector Sum:
The resultant of two vectors is simply the vector sum of the vectors. There are a handful of ways to present the resultant factor; the notation that shows the vector magnitude and direction is called the polar vector notation. An example of a vector presented in polar vector notation is
a∠θ where a is the magnitude and θis the angle that the vector makes with the horizontal axis.
Answer and Explanation:
Let's first present the vectors in rectangular vector notation.
For the vector →u of magnitude 20 and direction 0∘ to the horizontal axis, the vector is →u=^i20.
For the vector →v
of magnitude 40 and direction 60∘ to the horizontal axis, the vector is →v=^i40cos60∘+^j40sin60∘.
The resultant vector →w is the vector sum of the vectors, i.e.
→w=→u+→v
=^i20+^i40cos60∘+^j40sin60∘
=^i(20+40cos60∘)+^j(40sin60∘)
=^i40+^j20√3
For a vector ^ix+^jy, the magnitude of the vector is √x2+y2 and the direction above the horizontal axis is θ=tan−1(yx).
Let's use the formulas:
|→w|∠θ=√(40)2+(20√3)2∠tan−1(20√340)≈52.9∠40.9∘
The magnitude of the vector is about 53 units in the direction 41-degrees above the horizontal axis.
The magnitude of the resultant vector would be 60 units, and its direction will be 0°.
To find the magnitude and direction of the resultant vector when adding vectors u and v, we can use vector addition formulas:
Magnitude of the Resultant Vector (R):
R = √(u^2 + v^2 + 2uv * cosθ)
where:
u = magnitude of vector u (20)
v = magnitude of vector v (40)
θ = angle between vectors u and v (60°)
Plugging in the values:
R = √(20^2 + 40^2 + 2 * 20 * 40 * cos(60°))
≈ √(400 + 1600 + 1600)
≈ √3600
= 60
Direction of the Resultant Vector (θR):
Use the Law of Cosines to find the angle θR between the resultant vector R and vector u:
cosθR = (v^2 + R^2 - u^2) / (2 * v * R)
Plugging in the values:
cosθR = (40^2 + 60^2 - 20^2) / (2 * 40 * 60)
= (1600 + 3600 - 400) / 4800
= 1
Since cos(0°) = 1, we have θR = 0°.
So, the magnitude of the resultant vector is 60 units, and its direction is 0°.
To know more about magnitude
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Please if someone knows the answer please help
You are at a rest stop 250 miles north of New York City. You then travel north at a constant velocity of 65 miles per hour for 2.0 hours. Describe your location relative to New York City.
Which statement is true about vectors?
Vectors need direction and magnitude to exist, otherwise, it becomes scalars that do not require direction to be expressed.
eg - Velocity is a vector as it needs direction, but speed is scalar and does not need direction
hope this helps
Answer:
a. All quantities in physics are not vectors. b. A vector may have either magnitude or direction. c. The vector's length should be proportional to its magnitude. d. Two vectors can be added only if they have the same direction.
what type of wavelengths do ultraviolet rays have?
According to who.int,
"The UV region covers the wavelength range 100-400 nm and is divided into three bands: UVA (315-400 nm) UVB (280-315 nm) UVC (100-280 nm).Mar 9, 2016"
in short 100-400nm
1. Give three examples, from the lab, where potential energy was converted to kinetic energy:
Answer:
A book on a table before it falls.
A yoyo before it is released.
A raised weight.
Explanation:
These are all examples of potential energy. So I hope you can find something that is comparable from the lab.
If there was no friction, a ball rolling on a perfectly horizontal floor would never stop unless it struck something. It would keep on going and going and going even though gravity is still acting on it. Why won’t gravity stop the rolling ball?
Answer:
Gravity, won't stop rolling the ball because of the mass and gravitational pull and I learned this from my big sister
Explanation:
Explain why adding ice to a drink can cause water droplets (condensation) to appear on the outside of the glass?
Answer:
it just condensed you know it isn't a big deal whatever happens does change anything
An engineer is designing the foundation of large building and wants to be sure that movement in the ground will do as little damage to the building as possible. Which building material would be best to use in the foundation?
Steel-reinforced concrete is a better material for foundation where movement in the ground is envisaged.
The kind of material used for the foundation of a building greatly impacts the ability of that building to cope with movements in the ground such as during earthquakes.
For instance, when the foundation is made of brick or concrete which has a low ductility, these materials are incapable of absorbing a lot of energy. However, steel-reinforced concrete is a better material for foundation where movement in the ground is envisaged.
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