A 0.05 kg arrow is fired at a velocity towards a 1.2 kg apple. The arrow sticks in the apple and both move at 3.6
m/s. What was the initial velocity of the arrow?

Answer:

Saturn

Explanation:

Saturn has the most spectacular ring system, with seven rings and several gaps and divisions between them.

The torque vector τ has magnitude

|τ| = |F| |r| sin(θ)

where θ is the angle made by the force vector F and position vector r.

Recall the dot product identity,

F • r = |F| |r| cos(θ)

and use to find the measure of the angle in question.

F = (-3 i + 3 j + 4 k) N

r = (-2 i + 4 j) m

F • r = (6 + 12 + 0) N•m = 18 N•m

|F| = √((-3 N)² + (3 N)² + (4 N)²) = √34 N

|r| = √((-2 m)² + (4 m)²) = √20 m

So, we have

cos(θ) = (18 N•m) / ((√20 m) (√34 N)) = 9/√170

⇒   θ = arccos(9/√170) ≈ 46.3°

Now just find |τ| :

|τ| = (√34 N) (√20 m) sin(arccos(9/√170))

|τ| = (√680 N•m) sin(arccos(9/√170))

|τ| = (√680 N•m) √(89/170)

|τ| = 2√89 N•m ≈ 18.9 N•m

Answer:

Gravitational potential energy is 29.4 J

Explanation:

Data :

   Mass = m = 2 kg

   Height = h = 1.5 m

Applying Gravitational Potential formula

         U = mgh

      U = 2 × 9.8 × 1.5

      U = 29.4 J

Answer:

The motion of an object acted on by a force depends partly on the strength of the push or pull. The stronger the push or pull, the faster the object will move.

Explanation:

Based on the data provided, the impulse of the floor on the ball is 59.4 Ns.

Using the equation of motion to determine the velocity at the end of the fall

Where v is velocity at the end of fall

u is initial velocity = 0

g is acceleration due to gravity = 9.81 m/s^2

h is height = 20

v^2 = 0 + 2 (9.81)(20)

v^2 = 392.4

v = - 19.8 m/s

The velocity, v after bouncing is calculated also:

u = 0

g = 9.81 m/s^2

h = 5.0 m

v^2 = 0 + 2(9.81)(5)

v^2 = 98.1

v = 9.904 m/s

Impulse = 2.0 × (9.9 -(-19.8)

Impulse = 59.4 Ns

Therefore, the impulse of the floor on the ball is 59.4 Ns.

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The centripetal acceleration is obtained as v^2/r.

Circular motion refers to motion along a circular path. There are two forces that act on a body undergoing circular motion;

The centripetal acceleration is obtained as v^2/r where v is the linear velocity and r is the radius. The unit is m/s2.

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Answer:

K.E is 90.625 J

Explanation:

Data:

Mass = m = 43.5kg

Distance = d = 1.3km = 1300 m

Time = t = 10.4 min = 624 sec

Accelaration = a or g = 9.8

Formula for kinrtic energy

K.E = 1/2mv²

Find velocity

V = d/t = 1300/624 = 2.0833333333333 m/s

Put values in formula

K.E = 1/2 (43.5)(2.084)² = 90.624999999995

Mark brainliest if you understand it

Answer:

rolling friction is the weakest

Explanation:

rolling friction, which is weakest in solid surface

Answer:

I think its C and D

Explanation:Force is like a energy that moves stuff. :)

Answer:

561

Explanation: it would most definitely go down as a number because it isn't the same

The final velocity of the 15 kg mass is 18.33 m/s.

The final velocity of the 15 kg mass can be determined by applying the principles of conservation of linear momentum as follows;

[tex]m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2\\\\[/tex]

Where;

Thus, the final velocity of the 15 kg mass after the collision is 18.33 m/s.

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Answer:

Radiation, conduction.

Explanation:

Answer:

79

Explanation:

Answer:

A: The kinetic energy of the two vehicles is transferred to potential energy when it stops.

B: The more mass an object has the more kinetic energy it will have.

Explanation:

This may be the right answer for your question but if it isn't my bad.

Answer:

Acceleration of the train is -3 m/s²

Explanation:

Since it stops,

final velocity (v) = 0 m/s

time (t) = 25 seconds

initial velocity(u) = 75 m/s

Now,

accelereation = (v-u)/t

or, a = (0-75)/25

or, a = -75/25

so, a = -3 m/s²

The acceleration of the crate is 1.196 m/s².

This can be defined as the rate of change of velocity.

To calculate the acceleration of the crate, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute the values above into equation 1

Hence, The acceleration of the crate is 1.196 m/s²

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Answer:

I believe chemicals, though I might be wrong.

Explanation:

The power developed by the electric motor is 6000 Watts

Power is defined as the rate at which work is done. Mathematically, it is expressed as

Power = Work / time

But

Work = mass (m) × acceleration due to gravity (g) × height (h)

Work = mgh

Therefore,

Power = mgh / t

With the above formula, we can obtain the power developed by the motor.

Power = mgh / t

Power = (200 × 10 × 6) / 2

Power = 12000 / 2

Power = 6000 Watts

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The gravitational potential energy as a rollercoaster converts to kinetic energy when it moves downhill.

The kinetic energy of an object or body is due to its motion. When the roller coaster moves downhill it accelerates, thus the gravitational potential energy as a rollercoaster converts to kinetic energy.

The gravitational potential energy of an object or body is due to its position above the ground.

Therefore, the gravitational potential energy as a rollercoaster converts to kinetic energy when it moves downhill.

Learn more about kinetic energy:

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Based on the relationship between power and time, the time required is 10.67 seconds

Force produced by the car = mass × acceleration

Force produced by the car engine = 30 kW = 3000 kW

mass of car = 800 Kg

acceleration of car = changein velocity / time

acceleration = 110 - 70/t = 40/t

3000 = 800 × 40/t

t = 32000/3000

time, t = 10.67 seconds

Therefore, the time required is 10.67 seconds

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Answer:

magnitude

and direction

Explanation:

As force is a vector quantity, force has both magnitude and direction.

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body.

It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

Learn more about vector quantity here:

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____________________________

The difference between the two concepts lies in the type of magnitude they represent, speed is a scalar magnitude, while velocity is a vectorial magnitude.

It is the variation of distance in a certain time as a consequence of the movement of a mobile element.

It is the vectorial magnitude that shows and expresses the variation in terms of position of an object and as a function of time.

Therefore, we can conclude that speed is a scalar magnitude that determines the ratio of the distance traveled by a body and velocity is a vectorial magnitude that expresses the relationship between the space traveled by an object, the time used for it and its direction.

Learn more about the difference between speed and velocity here: https://brainly.com/question/16942553

Answer:

Most commercial aircraft typically fly at around 460-575 mph, or 740-930 km/h, according to Flight Deck Friend. But private jet speed can vary depending on a variety of factors, such as the weight onboard and the weather conditions.

What happens to end a of the rod when the ball approaches it closely this first time is; It is strongly attracted.

I have attached the image of the rod.

We are told that the ball is much closer to the end of the rod than the length of the rod. Thus, if we point down the rod several times, the distance of approach will experience no electric field and as such the charge on end point A of the rod must be comparable in magnitude to the charge on the ball.

This means that their fields will cancel.

Finally, we can conclude that when a charge is brought close to a conductor, the opposite charges will all navigate to the point that is closest to the charge and as a result, a strong attraction will be created.

This also applies to a strong conducting rod and therefore it is strongly attracted.

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Answer:

1. Walking

2. Pushing the basketball with hand

3. Ball bouncing off the ground

Explanation:

As per Newton's third law of motion every action has an equal and opposite reaction. Looking at the given scenario following are the pairs of action-reaction forces:

1. Walking: When you walk, you apply action and push the ground and the ground pushes you back with the same force.

2. Pushing the basketball with hand: when you push the ball that is action, the ball also applies force on your hand which is the reaction.

3. Ball bouncing off the ground: When ball hits the ground, it applies force i.e. action and the ground pushes it back with the same force which is the reaction.

Answer:

A

Explanation:

i dont really have an explanation but it just seems correct yk?

Answer:

75 grams

real is 85

Explanation:

you say you where 10 grams off.

Answer:

I may not have an actual clay ball but judging from the size and shape I can reason it should be 70 - 90 grams.

Estimation:

I estimate it to be 80 grams in weight

Actual mass:

85 grams

Distance between estimation and the actual amount:
85 - 80 = 5 gram difference

Explanation:

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