Which equation can be used to solve for acceleration?
0 ₁ = AV
a
O vf = at-vi
0 a = 4/1/20
d
O AV =

The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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The mass of the object is approximately 0.457 kg.

The mass of the object attached to the trolley can be calculated using the principle of conservation of momentum. Since the two trolleys couple together and move as a single system after the collision, the total momentum before and after the collision should be the same. Given the mass of one trolley is 0.80 kg and the initial speed is 1.1 m/s, the momentum before the collision is 0.80 kg * 1.1 m/s = 0.88 kg·m/s. After the collision, the total mass is the sum of the two trolleys, and the final speed is 0.70 m/s.

Using the momentum equation, the mass of the object can be calculated as follows:

Total momentum before collision = Total momentum after collision

0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s

Solving for the mass of the object, we get:

0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s

0.88 kg·m/s = 0.56 kg + 0.70 kg * mass of the object

0.88 kg·m/s - 0.56 kg = 0.70 kg * mass of the object

0.32 kg = 0.70 kg * mass of the object

Dividing both sides by 0.70 kg, we find:

mass of the object = 0.32 kg / 0.70 kg = 0.457 kg

The two trolleys collide and couple together, the total momentum before the collision is equal to the total momentum after the collision according to the principle of conservation of momentum.

The momentum of an object is defined as the product of its mass and velocity. In this case, the mass of one trolley is known (0.80 kg) and the initial speed is given (1.1 m/s), allowing us to calculate the momentum before the collision.

After the collision, the two trolleys move together at a new speed (0.70 m/s). By setting the initial momentum equal to the final momentum and solving for the unknown mass of the object, we can find its value.

In the calculation, we subtract the masses of the two trolleys from the total mass in order to isolate the mass of the object.

Dividing the difference in momentum by the product of the known mass and the new speed, we obtain the mass of the object. In this case, the mass of the object is approximately 0.457 kg.

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The equivalent resistance between points A and B is 0.837Ω.

Resistors in series are connected end-to-end so that the current flows through them in sequence. The equivalent resistance of resistors in series is the sum of their individual resistances.

The formula for equivalent resistance of resistors in series: R_eq = R_1 + R_2 + ... + R_n

Resistors in parallel are connected across each other so that the voltage is the same across each resistor. The equivalent resistance of resistors in parallel is the reciprocal of the sum of the reciprocals of their individual resistances.

The formula for equivalent resistance of resistors in parallel: 1/R_eq = 1/R_1 + 1/R_2 + ... + 1/R_n

Here in the Fig.

we can simplify the second set of resistors in parallel (4.8 Ω, 3.3 Ω, and 8.1 Ω) using the same formula:

1/Req1 = 1/4.8 + 1/3.3 + 1/8.1

Req1=1.575Ω

This Req1 connected series with 6.3Ω, then Req of this two resistance given by:

Req2= 1.575Ω+ 6.3Ω

Req2=7.875Ω

Once again this req2 makes the parallel with the other two resistance i. e 1.5Ω and 2.5Ω

Their equivalent resistance  is given by,

1/Req3=1/1.5 + 1/2.5 + 1/7.875

Req3=0.837Ω

Hence, The equivalent resistance between points A and B is 0.837Ω

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For a 18V source and resistors of 30Ω and 60Ω, I1 is 0.6A, I2 is 0.3A, and I3 is 0.9A.

To calculate the currents (I1, I2, and I3), we can use Ohm's law, which states that the current flowing through a conductor is equal to the voltage across the conductor divided by the resistance of the conductor.

Voltage (V) = 18V

Resistance (R1) = 30Ω

Resistance (R2) = 60Ω

To find the current I1 flowing through the 30Ω resistor, we use Ohm's law:

I1 = V / R1

Substituting the values:

I1 = 18V / 30Ω

I1 = 0.6A

Therefore, the current I1 is 0.6A.

To find the current I2 flowing through the 60Ω resistor, we again use Ohm's law:

I2 = V / R2

Substituting the values:

I2 = 18V / 60Ω

I2 = 0.3A

Therefore, the current I2 is 0.3A.

To find the current I3, we need to consider the circuit configuration. Assuming the resistors are connected in series, the total resistance (\(R_t_o_t_a_l\)) can be calculated by summing the individual resistances:

\(R_t_o_t_a_l\) = R1 + R2

\(R_t_o_t_a_l\) = 30Ω + 60Ω

\(R_t_o_t_a_l\) = 90Ω

Now, we can find the current I3 using Ohm's law:

I3 is the total current flowing in the circuit, which can be calculated by adding the currents flowing through R1 and R2:

I3 = I1 + I2

I3 = 0.6A + 0.3A

I3 = 0.9A (Amperes)

In summary, with an 18V source and resistors of 30Ω and 60Ω, the currents can be summarized as follows: I1 = 0.6A, I2 = 0.3A, and I3 = 0.9A.

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Answer:

83.2 m/s to the West

Explanation:

From the question given above, the following data were obtained:

Mass of plane = 180 Kg

Mass of pilot = 70 Kg

Momentum = 20800 Kg∙m/s West

Velocity =?

Next, we shall determine the total mass. This can be obtained as follow:

Mass of plane = 180 Kg

Mass of pilot = 70 Kg

Total mass =?

Total mass = Mass of plane + Mass of pilot

Total mass = 180 + 70

Total mass = 250 Kg

Finally, we shall determine the velocity. This can be obtained as follow:

Total mass = 250 Kg

Momentum = 20800 Kg∙m/s West

Velocity =?

Momentum = mass × Velocity

20800 = 250 × Velocity

Divide both side by 250

Velocity = 20800 / 250

Velocity = 83.2 m/s West

Thus, the velocity of both plane and pilot is 83.2 m/s to the West

Answer:

Steel

Explanation:

Answer:

The force of gravity on an object depends on the mass of the object and the mass and distance of the celestial body it is on or near. The formula for the force of gravity is:

F = G * (m1 * m2) / r^2

where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.

To compare the force of gravity on an 81 kg mass on the Moon's surface with the force on the Earth's surface, we need to calculate each force using the above formula and then compare the results.

First, let's calculate the force of gravity on an 81 kg mass on the Earth's surface:

F_Earth = G * (m1 * m2) / r^2

= 6.67 x 10^-11 Nm^2/kg^2 * (81 kg * 5.97 x 10^24 kg) / (6.38 x 10^6 m)^2

= 7.92 x 10^2 N

So the force of gravity on an 81 kg mass on the Earth's surface is 792 N.

Next, let's calculate the force of gravity on an 81 kg mass on the Moon's surface:

F_Moon = G * (m1 * m2) / r^2

= 6.67 x 10^-11 Nm^2/kg^2 * (81 kg * 7.35 x 10^22 kg) / (1.74 x 10^6 m)^2

= 1.32 x 10^3 N

So the force of gravity on an 81 kg mass on the Moon's surface is 1320 N.

Therefore, the force of gravity on the Moon's surface is greater than the force of gravity on the Earth's surface. The ratio of F_Earth to F_Moon is:

F_Earth / F_Moon = 792 N / 1320 N

= 0.6

So the force of gravity on the Moon's surface is about 60% of the force of gravity on the Earth's surface.

Answer:

......................

The weight acting between two surfaces affects friction. More mass means greater weight, which means more friction.

The force exerted by an object increases with its mass. The object and the surface it comes into touch with experience increased friction as a result of the larger force. The the mass difference needed to start movement of the system

It is clear that there is no mass term in the equation since the coefficient of friction only depends on the materials that are interacting.

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Friction is affected by the weight acting between two surfaces. Greater mass equals more weight, which equals more friction.

The force exerted by an item grows in proportion to its mass. As a result of the greater force, the item and the surface it comes into contact with encounter increased friction. The mass differential required to get the system moving. By estimating the amount of force required to move the system, the mass difference may be utilized to simulate the impact of friction.

This is accomplished by dividing the mass difference by the gravitational acceleration (9.8 m/s2). The resultant force can then be utilized to approximate the system's friction. There is no mass term in the equation since the coefficient of friction depends exclusively on the materials that are interacting.

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Complete Question ;

The pulley is not, in fact, frictionless and massless. At the beginning of the lab you found the mass difference needed to start movement of the system. How can this data be used to approximate the effect of friction?

Answer:

Flying cars.

Explanation:

Potential energy is stored energy because it has the potential to do something which laters turns into kinetic energy which is the moving energy.

Answer:

We will have the following:

a)

So, the energy is approximately 517.90 Joules.

b.

And the work required to double its speed is approximatley 2466.30 Joules.

Heat transfer by radiation and convection causes the surface water of the pool to be warm which decreases with depth.

There are two heat transfer process responsible for variation in temperature of water at different depth of a pool, they include;

The surface of the water absorbs heat from the air and the sun. The heat from the sun is transferred to the pool through radiation.

The heat from the air is transferred to the pool through convection.

Thus, these two heat transfer processes  causes the surface water of the pool to be warm which decreases with depth.

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Answer:

d) 14.1 m

e) 8.57 m/s

Explanation:

(a) There are three forces on the ball:

Normal force Fn pushing up,

Weight force Fg pulling down,

Kinetic friction Fk pushing left (resisting motion).

FBD is the correct free body diagram.

(b) Sum of forces in the y direction:

∑F = ma

Fn − Fg = 0

Fn = Fg

Sum of forces in the x direction:

∑F = ma

-Fk = ma

-Fn μk = ma

-mg μk = ma

a = -g μk

a = -(10 m/s²) (0.25)

a = -2.5 m/s²

(c) Sum of torques about the ball's center:

∑τ = Iα

Fk r = ⅖ mr² α

mg μk r = ⅖ mr² α

g μk = ⅖ r α

α = 5g μk / (2r)

α = 5 (10 m/s²) (0.25) / (2 × 0.2 m)

α = 31.25 rad/s²

(d) The velocity and angular velocity at time t is:

v = at + v₀

v = -2.5t + 12.0

ω = αt + ω₀

ω = 31.25t + 0

When the ball begins to roll without slipping, v = ωr.

-2.5t + 12.0 = (31.25t) (0.2)

-2.5t + 12.0 = 6.25t

12.0 = 8.75t

t = 1.37

The distance the ball moves is:

Δx = v₀ t + ½ at²

Δx = (12) (1.37) + ½ (-2.5) (1.37)²

Δx = 14.1 m

(e) v = at + v₀

v = (-2.5 m/s²) (1.37 s) + 12.0 m/s

v = 8.57 m/s

Answer:

a

Explanation:

on egde 2020

Answer: D

Explanation: if the order is right, zooplankton eat phytoplankton, and zooplankton would be eaten by the whale

Hope it helps! ^w^

Answer:

D

Explanation:

Phytoplankton is very small, zoo plankton is small, and right whales are BIG.

Answer:

First option, third option, fourth option, and the fifth option.

Explanation:

Kinetic energy is energy an object has when it's motion, the greater the speed the greater the kinetic energy. For example, a car moving and increasing in speed is kinetic energy since the object is in motion. If the car stops and parks in a parking lot that is potential energy. Potential energy is the amount of energy an object has when it's at rest or not in motion.

So, the answer for this question is as followed first option or "energy can be stored in the position of an object." Third option or "Energy can be stored in the position of the particles that make up a substance." Fourth option or "Energy exists as movement of the particles of a substance." The last answer will be the fifth option or "Energy is greater in faster-moving particles than in slower-moving particles."

Hope this helps.

Determine the magnitude of B-A is 53.68

1.4

Magnitude is a term used to describe size or distance. We can relate the magnitude of the movement to the size and movement speed of the object. The magnitude of a thing or an amount is its size. A car moves at a faster pace than a motorcycle, just in terms of speed.

Magnitude is the relative size of an object (mathematics). The mathematical term for a vector's length or size is the norm. By using the symbol |v|, the magnitude of a vector formula can be utilized to determine the length of a given vector (let's say v). This amount is essentially the distance between the vector's beginning point and ending point.

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Answer:

I NEED OPTIONS

Explanation:

The length of the pendulum is measured from the lower part of the wooden clamp, because the center of gravity is at the center of the bob.

The simple pendulum's length, l is determined by measuring it from the point of suspension to the center of gravity (center of the bob), which is the place where all of this sphere's mass is concentrated.

The center of the mass will exactly reside in the center of the bob when we take the bob's dimensions into account.

As a result, the total length is now equal to the length of the string plus the bob's radius. The length is thus measured from the lower part of the wooden clamp.

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Answer:

ik it was

Explanation:

Answer:

No it was not i did my research bro

Explanation:

Its 5

When the pressure (100 N) and weight (40 kg) are entered into the appropriate fields, the gravity is 2 m/s².

Force and acceleration are linked by the equation F=ma. The characters "F," "m," and "a" stand for acceleration, mass, and force, respectively. Force is the ability of one object to exert a pull or force on another. Acceleration is the rate at which an object's speed changes.

Speed increase is the pace of progress of speed. Acceleration typically indicates a change in speed, but not always. Because its velocity is changing in the opposite direction, even if an object moves in a circle at the same speed, it will still accelerate.

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The momentum of the car is the product of its speed and mass. Hence, the speed of the car of 1290 kg with a momentum of 38700 kg m/s is 30 m/s.

Momentum of an object is its ability to bring the force applied to make a maximum displacement. In physics momentum is the product of mass and speed of the object. It is a vector quantity and thus characterized by a magnitude and direction.

P be the linear momentum and M and V be the mass and velocity respectively. Then,

P  = M V

given P  = 38700 kg m/s

m = 1290 kg

Then, speed of the car is calculated as follows:

V = P/M

  =  38700 kg m/s / 1290 kg

  = 30 m/s.

Therefore, the speed of the car is 30 m/s.

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... then your weight is 25.2 lbf on the moon.

Answer:

meter per second(m/s)

Explanation:

Answer:

gravity

Approximately 4.5 billion years ago, gravity pulled a cloud of dust and gas together to form our solar system.

Explanation:

Answer: Here you go, i hope this kinda helps.

Explanation:Disambiguation is just a fancy way of saying "asking clarifying questions".

Watson Assistant replies to user's questions based on a confidence score.

Sometimes the customer's question could be interpreted in two or three different ways.

For example, if you say you'd like to "book a table for 8", the assistant is able to ask a clarifying question:

Did you mean booking a table for 8PM, 8AM, or booking a table for 8 guests?

Watson Assistant will ask the question when its confidence score is divided between a few options to ensure that your customers get exactly the right service they need.

Answer:

im pretty sure the answer is C

Answer:214

Explanation: