A 7.5 kg beaver dives horizontally off a 50 kg log at a speed of 4 m/s. What is the speed of the log?

Answers

Answer 1

Answer:

[tex]0.6\; \rm m\cdot s^{-1}[/tex], assuming that drag of the water on the log is negligible.

Explanation:

The momentum [tex]p[/tex] of an object is equal to the product of mass [tex]m[/tex] and velocity [tex]v[/tex]. That is, [tex]p = m\, v[/tex].

If the drag of water on the log is negligible, momentum of the beaver and the log, combined, would be preserved.

The momentum of the beaver and the log, combined, was initially [tex]0\; \rm kg\cdot m \cdot s^{-1}[/tex].

The momentum of the beaver right after the dive would be [tex]7.5 \; {\rm kg} \times 4\; {\rm m \cdot s^{-1}} = 30\; {\rm kg \cdot m \cdot s^{-1}}[/tex].

The sum of the momentum of the beaver and the log is conserved and should continue to be [tex]0\; {\rm kg\cdot m \cdot s^{-1}}[/tex] even after the dive. Since the momentum of the beaver is [tex]30\; {\rm kg \cdot m \cdot s^{-1}[/tex] after the dive, the momentum of the log should become [tex](-30)\; {\rm kg \cdot m \cdot s^{-1}}[/tex].

Since the mass of the log is [tex]50\; {\rm kg}[/tex], the new velocity of this log would be:

[tex]\begin{aligned}v &= \frac{p}{m} \\ &= \frac{(-30)\; {\rm kg \cdot m \cdot s^{-1}}}{50\; {\rm kg}} \\ &= (-0.6)\; {\rm m \cdot s^{-1}}\end{aligned}[/tex].

(The new velocity of the log is negative because the log would be moving away from the beaver.)

The speed of an object is the magnitude of velocity. For this log, a velocity of [tex](-0.6)\; {\rm m \cdot s^{-1}}[/tex] would correspond to a speed of [tex]|(-0.6)\; {\rm m \cdot s^{-1}| = 0.6\; {\rm m \cdot s^{-1}[/tex].


Related Questions

PLEASE HELP I WILL MARK BRAINLIST!!

The diagram shows a swinging pendulum. Which best explains what happens to the motion of the pendulum due to the law of conservation of energy?

The pendulum will slow down and eventually stop moving as the mechanical energy transforms to thermal energy.

The pendulum will slow down and eventually stop moving as the mechanical energy disappears.

The pendulum will continue moving at the same speed because mechanical energy is created as the pendulum moves.

The pendulum will slow down but will not stop moving because some of the mechanical energy is destroyed.​

Answers


The mechanical energy transforms to thermal energy as the pendulum slows and eventually stops moving.

Hope this helps!
Brainliest is much appreciated!

The pendulum bob slow down and eventually stop as it loses it energy due to friction or air resistance. All its kinetic energy has been transformed to potential energy. None of the options is correct

OSCILLATORY MOTION

The to and fro movement of an object or particle is known as oscillatory motion. Such motion repeats itself. Examples are;

Pendulum boba diving boardthe strings of a plucked guitarthe prongs of a tuning fork struck with a hard objectthe vertical movement of a disturbed mass on a spiral spring.

The given diagram shows a swinging pendulum. And the option which best explains what happens to the motion of the pendulum due to the law of conservation of energy is

The pendulum will slow down and eventually stop moving when it loses energy because of friction or air resistance as the kinetic energy transforms to potential energy

The mechanical energy involve are potential and kinetic energy. Both energies reduce as they gradually lost some of their energies due to air friction between the bob and the air. Some of the lost energies may be transformed to thermal energy.

The pendulum bob slow down and eventually stop because it loses its mechanical energy due to air resistance or friction.

Therefore, the option A which state that "The pendulum will slow down and eventually stop moving as the mechanical energy transforms to thermal energy" can be considered. But none of the option best explain what happens to the motion of the pendulum.

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A 2 kg wagon is being pulled by a kid with a force of 0.1 N to the right. Determine the acceleration of the wagon

Answers

Answer:

0.2 m/s^2

Explanation:

a = fm

a = 2 x .1

a = 0.2 m/s^2

Physical data is often used in the court system. In fact, police officers use radar to determine your speed when you are driving and admit that record in court if you are ever given a ticket. In one such instance, the police officer submitted data that goes against the claim of the driver, who is contesting his ticket in court. The police officer (who was stationary when he made the measure) claims that the driver was speeding at 44.7 m/s, but the driver claims he was only going 26.8 m/s (according to his speedometer). The speed limit was 60 mph. The driver argues that the radar gun must have been set incorrectly to record relative velocity. Is it possible that they are both telling the truth?

Answers

The driver is telling the truth, the radar gun must have been set incorrectly to record relative velocity.

The given parameters:

Speed of the driver observed by the stationary police officer, Vo = 44.7 m/sSpeed of the driver, V = 26.8 m/s.Speed limit = 60 mph

The speed limit of the driver in meter per second is calculated as follows;

[tex]= 60 \ \times \frac{miles}{hour} \times \frac{1609.34 \ m}{1 \ mile} \times \frac{1 \ hr}{3600 \ s}\\\\= 26.82 \ m/s[/tex]

From the speed limit, it is obvious that the driver's speed is within the limit. Thus, we can conclude that the driver is telling the truth, the radar gun must have been set incorrectly to record relative velocity.

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a body of mass 10 kg is moving with velocity of 10ms-1.a force acts for 5 seconds to reduce its velocity to 2ms-1.find the momentum of the body before and after application of the force on it

Answers

Answer:

momentum before: 100kgm/s

momentum after: 20kgm/s

Explanation:

initial velocity: 10

final velocity: 2

p=mv

before: 10kg×10m/s

after:10kg×2m/s

I'm not 100% sure btw

what is the wavelength of a sound wave that travels at 340m/s and has a frequency of 710Hz

Answers

Answer:

0.479 m

Explanation:

v = fl

340 = 710l

l = 0.479 m

what color will a yellow banana appear when illuminated by yellow light

Answers

Answer:

A yellow banana reflects only yellow light,

Explanation:

Find B when θ=35, E=10V, t=5, N=250, A=1.20m^2

a. -0.321 T
b. -0.653 T
c. -0.231 T
d. -0.293 T

Answers

Answer:

its most definitely c. trust me

Explanation:

Can someone please give me the (Answers) to this? ... please ...

Answers

Answers:

1. Newton's second law states that the force on an object is equal to its mass times its acceleration. Equation: F = ma, or force is equal to mass times acceleration.

2.

a=F/ma= 120N/68kga=(120 kg x m/s^2)/ (68kg)a = 1.8 m/s^2

3. a = 0.25 m/s^2

4. a = 0.4 m/s^2

If the road becomes wet or crowded, you should ____. slow down and increase your following distance All choices are incorrect. maintain your speed and following distance speed up and decrease your following distance Submit answer

Answers

Answer:

The first one.

If the road becomes wet or crowded, you should ___ slow down and increase your following distance_

What is meant by surface distance ?

The safe distance between vehicles traveling in column specified by the command in light of safety requirements

The slower speed will help you save gas and avoid potential accidents. You can easily eliminate chances of rear end collision by maintaining a safe distance between your car and the vehicles ahead.

hence , a) slow down and increase your following distance is a correct option

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plssss helppppppppppp i need it

Answers

Answer:

D

Explanation:

I don't know how to explain it I just did it

By the way thxs for help on one of my problems

I change every second what am i

Answers

Explanation:

Ummm i think a timer or clock?

Answer: Timer or a clock

Explanation:

Two forces that act on very small distances (smaller than you can see ) are

Answers

There are three fundamental forces that act at a distance. They are gravitational, electromagnetic and nuclear forces.

Calculate the speed of light in a medium whose refractive index is 2.4

Answers

Answer:

Approximately [tex]1.3\times 10^{8}\; \rm m\cdot s^{-1}[/tex].

Explanation:

Look up the speed of light in vacuum: [tex]c \approx 3.00\times 10^{8}\; \rm m\cdot s^{-1}[/tex]. Denote the speed as [tex]c[/tex].

If the speed of light in a medium is [tex]v[/tex], the refractive index of that medium would be:

[tex]\displaystyle n = \frac{c}{v}[/tex].

Note, that the refractive index of a medium is inversely proportional to the speed of light in this medium. A medium with a larger refractive index would thus correspond to a slower speed of light.

Rearrange this equation to find the speed of light [tex]v[/tex] in this medium:

[tex]\begin{aligned}v &= \frac{c}{n} \\ &= \frac{3.00\times 10^{8}\; \rm m\cdot s^{-1}}{2.4} \\ &\approx 1.25 \times 10^{8}\; \rm m\cdot s^{-1}\end{aligned}[/tex].

Marianne and her family are driving from West Virginia to California. While driving through the Rocky Mountains, they encounter a rock slide. A huge boulder, a few smaller rocks and several tree branches block the road. Her father creates a lever using a long tree branch and a small rock to help move the boulder. Look at the diagram below. Where should Marianne’s father place the small rock?





Question 6 options:

It makes no difference where he places the rock


He should place the rock (fulcrum) close to the boulder (at Point A).


He should place the rock (fulcrum) away from the boulder (at Point B).


He should place the rock (fulcrum) near the end of the branch (at Point C).

Answers

Answer:

Point A

Explanation:

Point C is way to close to where the force would need to be.

Point B is close but not as close, the reasonable answer would be point A.

Marianne’s father should place the small rock: he should place the rock (fulcrum) close to the boulder (at Point A).

What is simple lever?

The simplest devices, like levers, are employed to complete tasks quickly. Leverage is the ability to increase an input force to produce a stronger output force. We are known that there are different kinds of levers depending on the force, weight, and fulcrum point. Each tool that is used to complete a task falls into one of these categories.

One of the six simple devices that Renaissance scientists identified. Leverage is the ability to increase an input force to produce a stronger output force.  The mechanical advantage of the lever is determined by the ratio of output force to input force.

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what depth would a submarine have to submerge so that it would not be swayed by surface waves wwith a wavelength of 30 meters

Answers

Answer:

Explanation:

ello

What is number 10 for this?

Answers

Answer:

The wavelength of WFNX’s radio waves with the given speed and frequency is 2.95m.

Given data in the question;

Speed of wave;

Frequency of wave;

wavelength;

To determine the wavelength of the radio wave, we use the expression for the relations between wavelength, frequency and speed.

Where  is wavelength, f is frequency and c is the speed.

We substitute our given values into the equation

Therefore, the wavelength of WFNX’s radio waves with the given speed and frequency is 2.95m.

Explanation:

Grass, trees, shrubs, worms, birds, and deer that live in a certain area is known as what?

Answers

Answer:they live in grass land also called forests hope the answer helps

Explanation:

Which type of circuit would be best to use for lights used for decorations?

Answers

Answer:

led would be the best for decorations

Explanation:

a boulder sitting on a 45 m tall cliff has a potential energy of 7,100 J. the acceleration due to gravity is 9.8 m/s^2. what is the mass of the boulder

Answers

The mass of the boulder is equal to 16.10 kilograms.

Given the following data:

Height of cliff = 45 mPotential energy = 7,100 JoulesAcceleration due to gravity = 9.8 [tex]m/s^2[/tex]

To determine the mass of the boulder:

Mathematically, potential energy (P.E) is calculated by using the following formula:

[tex]P.E = mgh[/tex]

Where:

m is the mass of object. g is the acceleration due to gravity. h is the height of an object.

Making m the subject of formula, we have:

[tex]m = \frac{P.E}{gh}[/tex]

Substituting the given parameters into the formula, we have;

[tex]m=\frac{7100}{9.8 \times 45} \\\\m=\frac{7100}{441}[/tex]

Mass, m = 16.10 kg

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A horizontal force is applied to a box with a mass equal to 5.5 kg, The graph shows the net force acting on a box as a function of its horizontal position x.

Part A
Find the net work done on the box as it moves from x = 0 m to x = 8.0 m. .
Part B
Apply concepts of work and energy to solve for the speed of the box when it reaches position x = 8.0 m. Assume the box started from rest.

Answers

From the graph, net work done on the box and  the speed of the box when it reaches position x = 8.0 m are 28 Nm and 3.2 m/s respectively

From the question, these are the given parameters;

Mass M = 5.5 KgPosition X = 0 to X = 8m

Part A

The net work done will be the area under the graph.

From position X = 2m to X = 8m gives us the shape of a trapezium.

A = 1/2( a + b )h

A = 1/2( 2 + 6 ) x 8

A = 8 x 4

A = 32 Nm

From X = 0 to X = 2 gives us the shape of a triangle.

A = 1/2bh

A = 1/2 x 2 x (-4)

A = -4 x 1

A = -4 Nm

Net Work done = 32 - 4

Net work done = 28 Nm

Part B

Applying the concepts of work and energy to solve for the speed of the box when it reaches position x = 8.0 m

Net Work done = 1/2m[tex]V^{2}[/tex]

Substitute all the necessary parameters

28 = 1/2 x 5.5 x [tex]V^{2}[/tex]

5.5[tex]V^{2}[/tex] = 56

[tex]V^{2}[/tex] = 56/5.5

[tex]V^{2}[/tex] = 10.18

V = [tex]\sqrt{10.1818}[/tex]

V = 3.19 m/s

Therefore, net work done on the box and  the speed of the box when it reaches position x = 8.0 m are 28 Nm and 3.2 m/s respectively

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3. A(n)______ is someone who travels to new places or does new things. A. explorer B. thrill C. expedition D. research

Answers

Answer:

explorer

Explanation:

Answer:

a) EXPLORER

Explanation:

An explorer is someone who travels to new places or does new things.

why we use light-years in space verses other units of distance?

Answers

Answer:

The light year is used to measure distances in space because the distances are so big that a large unit of distance is required.

Question:
The US Navy is developing a railgun that uses magnetic field repulsion. The railgun can propel a 981 N projectile at seven times the speed of sound. How much energy is stored in this magnetic field? Assume a complete conversion of energy and a speed of sound of 340 m/s.

Answer choices:
A. 119 MJ
B. 283 MJ
C. 578 MJ
D. 2780 MJ

Answers

The relation of the kinetic energy allows to find the correct result for the energy stored in the electromagnet is:

B) 283 MJ

Kinetic energy is the energy due to the movement of bodies.

          K = ½ m v²

     

Where K is the kinetic energy, m is  the mass and v the spped.

They indicate that the weight of the bodye is W = 981 N and its final velocity is v = 7 [tex]v_s[/tex].

          W = m g

           

Since the projectile starts from rest, its initial velocity is zero, therefore the change in energy is

        ΔK = [tex]K_f - K_o = K_f[/tex]  

we substitute

        ΔK = ½ 981 / 9.8 (7 340) ²

         ΔK = 2.835 10⁸ J

They indicate that all the energy of the electromagnet is transformed into the energy of the projectile,

          Em = K

When reviewing the results, the correct one is:

       B) 283 MJ

In conclusion, using the relationship of kinetic energy we can find the correct result for the energy stored in the electromagnet is:

   B)  283 MJ

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A truck moves 60 kilometers east from point A to point B. At point B, It turns back west and stops 15 kllometers away from point A. What are the
total distance and total displacement of the truck?

Answers

Answer:

a).  The truck's distance covered for the trip is

                      (60) + (60 - 15)  =  105 kilometers .

b).  Its displacement for the whole trip is the distance

and direction from the start-point to the end-point.

                         15 kilometers east .

Explanation:

If a spaceship travels at an average speed of 6x10^10 kilometers per year, how many years will it take the spaceship to travel 3x10^30 kilometers? Show work or explain your logic for full credit. a) 5x10^2 b) 5x10^19 c) 5x10^20 d) 5x10^21

Answers

First, you need to find out the speed of 6x10^10. Then find out the value of 3x10^30 after you do that, Make this visual,

3x10^30. 5x10 to the 19 power

_______.

6x10^10

The answer is c

If the spaceship travels a distance of 6 × 10¹⁰ kilometers with an average speed the time taken to travel 3 × 10³⁰ kilometers is 5 × 10¹⁹ years. Thus, option a is correct.

What is speed?

Speed is a physical quantity associated with a moving body. It is the measure of distance travelled per unit  time . Thus, mathematically it is the ratio of distance to the time.

If we have the time and speed known we can find the distance travelled and vice versa. As the speed increases, the distance covered per unit time will be higher.

Here the spaceship travels  6 × 10¹⁰ kilometers . Thus the time taken to travel 3 × 10³⁰ kilometers can be calculated as follows:

1 year   -    6 × 10¹⁰ km

  ?           -  3 × 10³⁰ km

Cross multiply them we get, 3 × 10³⁰ km/  6 × 10¹⁰ km = 5 × 10¹⁹ years.Hence, option a is correct.

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A racecar was going 60 m/s when it quickly came to a full stop at a pitstop in 8.0 sec. What was the acceleration of the dragster? Answer to the nearest hundredth

Answers

You start by writing down your parameters;
u=60m/s
v=0
t=8s
So acceleration(a)=v-u/t
=0-60/8
=-60/8
=-7.5m/s
To the nearest hundredth will be
-7.5*100
=-750m/s

ii. Which of these has a heating element with a low melting point?
a, electric bell
c. electric iron
b. fuse
d. all of these

Answers

The answer is Fuse, the Fuse has a low melting point
Letter B (Fuse) is the answer

Can someone please give me the (Answers) to this? ... please ...

Answers

Explanation:

1. By Newton's 3rd Law, both forces are equal and opposite. Hence both forces are of the same magnitude.

2. The reaction force is the force of arrow on bowstring.

3. Forward force of fish on water and vice versa?

4. The mass of the person is very small as compared to mass of earth. Hence the force exerted is very small amd hence the recoil is not noticed.

5. Reaction force is the force of ball against the bat. By Newton's Third Law, they form an action reaction pair. Hence, they are equal in magnitude and opposite in direction.

6. The reaction force will also decreases as both forces are equal in magnitude.

7 im nt sure sorry Ahahah

Resolve the weight of the box to find the component of the weight acting parallel to the slope.
W = 50N
30

Answers

Answer:

here's your answer below

Explanation:

sorry something went wrong

.

A race car accelerates uniformly from 18.5 m/s in 2.47 seconds m. Determine the acceleration of the car in m/sec^2 and the distance

Answers

The change of velocity is from 18.5 to 46.1 m/s or 46.1 - 18.5 = 27.6 m/s. The time of change is 2.47 s. So the acceleration is 27.6 m/s / 2.47 s = 11.17 m/s^2. The distance traveled is average velocity times time of travel.

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