A 900 kg car that exerts 5000 n of applied force on a level road while being opposed by 1000 n of friction -the acceleration of the car is 44.4 m/s².
The acceleration of the car is 44.4 m/s².Given that
A 900 kg carThat car is exerts 5000 n of applied force on a level road while being opposed by 1000 n of friction.To find
the acceleration of the car.So, according the question
we have,
mass of the car m = 900 kg
applied force by car f = 5000 n
friction force r = 1000 n
now,
total net force (F) = applied force (f)- friction force (r)
F = 5000 - 1000
F = 4000 n
we know that,
F = ma
where,
m = mass of car
a = acceleration
So, putting the values of m and F,
4000 = 900 × a
a \(= \frac{4000}{900}\)
a = 44.4 m/s²
The acceleration of the car is 44.4 m/s².
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the purpose of the upper and lower control arms in a short-and-long arm front suspension system is to:
The purpose of the upper and lower control arms in a short-and-long arm front suspension system is to control the vertical movement of the wheels and maintain proper alignment.
The upper and lower control arms are key components of the front suspension system in a vehicle. Their primary function is to connect the wheel assembly to the vehicle's chassis or frame.
The control arms help support the weight of the vehicle and provide a pivot point for the suspension movement.
The upper control arm is typically shorter and connects the top of the wheel assembly to the chassis. It helps control the camber angle, which is the tilt of the wheel in relation to the road surface.
The lower control arm is longer and connects the bottom of the wheel assembly to the chassis. It helps control the caster angle, which is the forward or backward tilt of the wheel, and also assists in maintaining proper alignment.
Together, the upper and lower control arms work in conjunction with other suspension components to provide stability, smooth ride, and controlled handling.
They play a crucial role in maintaining tire contact with the road and ensuring optimal suspension performance.
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A pharmaceutical company proposes a new drug treatment for alleviating symptoms of PMS (premenstrual syndrome). In the first stages of a clinical trial, it was successful for 7 out of 12 women. a. Con
a. Construct a 95% confidence interval for the population proportion.
b. Is it plausible that it is successful for only half thepopulation? Explain.
a. The 95% confidence interval for the population proportion is approximately 0.249 to 0.917.
b. It is also plausible that the success rate is higher than half the population.
a. To construct a 95% confidence interval for the population proportion, we can use the formula:
CI = p' ± Z * √((p'(1-p'))/n),
Where p' is the sample proportion (success rate), Z is the Z-score corresponding to the desired confidence level (95% in this case), and n is the sample size.
Given that the drug treatment was successful for 7 out of 12 women, the sample proportion is p' = 7/12 = 0.583.
To determine the Z-score for a 95% confidence level, we need to look up the critical value from the standard normal distribution. For a two-tailed test, the Z-score for a 95% confidence level is approximately 1.96.
Substituting the values into the formula, we have:
CI = 0.583 ± 1.96 * √((0.583(1-0.583))/12).
Calculating the expression within the square root:
√((0.583(1-0.583))/12) ≈ 0.170.
Substituting this value into the formula:
CI = 0.583 ± 1.96 * 0.170.
Calculating the lower and upper bounds of the confidence interval:
Lower bound = 0.583 - (1.96 * 0.170) ≈ 0.249,
Upper bound = 0.583 + (1.96 * 0.170) ≈ 0.917.
Therefore, the 95% confidence interval for the population proportion is approximately 0.249 to 0.917.
b. To determine if it is plausible that the drug treatment is successful for only half the population (p = 0.5), we can check if the value 0.5 falls within the 95% confidence interval. In this case, since the lower bound of the confidence interval (0.249) is less than 0.5, it is plausible that the success rate is lower than half the population. However, since the upper bound of the confidence interval (0.917) is greater than 0.5, it is also plausible that the success rate is higher than half the population. The 95% confidence interval indicates that the true population proportion could lie anywhere between 0.249 and 0.917, so we cannot definitively conclude that the success rate is exactly half the population.
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A proton is located at x = 1.0 nm, y=0 nm and an electron is located at x=0 nm, y=4.0 nm. Find the attractive Coulombic force between them.
The attractive Coulombic force between the proton and electron is approximately 2.3 x 10^-8 N.
To calculate this force, we can use Coulomb's law: F = (kq1q2)/r^2, where F is the force, k is Coulomb's constant, q1 and q2 are the charges of the two particles, and r is the distance between them. Plugging in the values, we get F = (9x10^9 Nm^2/C^2)(1.6x10^-19 C)*(-1.6x10^-19 C)/(4x10^-18 m^2) = -2.3x10^-8 N. The negative sign indicates that the force is attractive.
In summary, the attractive Coulombic force between the proton and electron is -2.3 x 10^-8 N, which is found using Coulomb's law and the charges and distances given in the problem.
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Pollen grains help scientists
identify plants and make assumptions on past climate conditions.
understand tree growth and make assumptions on past climate conditions.
understand how Earth was shaped and make assumptions on past climate conditions.
identify major ice ages and make assumptions on past climate conditions.
Answer:
A. identify plants and make assumptions on past climate conditions.
Explanation:
Answer was right on my Edge quiz!
Pollen grains help scientists identify plants and make assumptions on past climate conditions.
WHAT IS PROXY CLIMATE?Proxy climate is climate inferred from past records i.e. not current.
Proxy climate makes use of proxy climate data also called proxies. These proxies help in inferring about the past climate.
Examples of proxies are;
pollen grainsCoral reefsIce coresTherefore, pollen grains help scientists identify plants and make assumptions on past climate condition.
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Considere que helicóptero para na altitude a que voava para largar uma caixa de 90 kg para o solo.
Answer:
El peso es de 882 newton.
Explicación:
El helicóptero se detiene a la altura en la que volaba para dejar caer una caja de 90 kg al suelo, el peso de la caja llega hasta los 882 Newton porque el peso es una fuerza dirigida hacia el centro de la tierra y depende de la gravedad. La fórmula del peso es multiplicar la masa por la gravedad, de modo que cuando se multiplican 90 kg de masa por 9,8 metros / seg2, obtenemos el peso del objeto que es 882 newton.
a 61,000-kg rocky mountain double big rig is traveling at 0.5 m/s. about what velocity must a 730-kg compact electric vehicle have to achieve the same amount of momentum as the rocky mountain double?
Electric vehicle have to achieve the same amount of momentum as the rocky is 41.78 m/s.
We are given that,
Mass of mountain = M = 61000kg
velocity = V = 0.5m/s
As momentum is defined as the sum of an object's mass and velocity, it is represented as p=mv, where p stands for momentum, m for mass, and v for velocity.
According to the law of conservation of linear momentum, the starting and final momentum should add up to the same amount. As a result, in this instance, MV=mu, where M and m represent the masses of 61 000 kg and 730 kg, respectively, while v and u are the velocities of the masses.
u = MV/m
Putting the values from the above we get,
u = (61000kg)(0.5m/s)/730kg
u = 41.78 m/s
Therefore, Electric vehicle have to achieve the same amount of momentum as the rocky would be 41.78 m/s.
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Margy is trying to improve her cardio endurance by performing an exercise in which she alternates walking and running 100. 0 m each. If Margy is walking at 1. 4 m/s and accelerates at 0. 20 m/s2 during one of the running portions, what is her final velocity at the end of the 100. 0 m? Round your answer to the nearest tenth. M/s.
To find Margy's final velocity at the end of the 100.0 m, we can use the equation of motion: v^2 = u^2 + 2as
where:
v = final velocity
u = initial velocity
a = acceleration
s = distance
Given:
u = 1.4 m/s (walking speed)
a = 0.20 m/s^2 (acceleration)
s = 100.0 m. Plugging in the values into the equation, we have: v^2 = (1.4 m/s)^2 + 2 * (0.20 m/s^2) * 100.0 m. v^2 = 1.96 m^2/s^2 + 40.0 m^2/s^2. v^2 = 41.96 m^2/s^2. Taking the square root of both sides to solve for v: v = √(41.96 m^2/s^2). v ≈ 6.5 m/s. Therefore, Margy's final velocity at the end of the 100.0 m is approximately 6.5 m/s.
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6- A boy throws a ball with a horizontal velocity of 3.0 m/s, from a height of 5.2 m over the ground, what is the horizontal displacement of the ball?
A. 5.6 m
B. 4.0m
C. 3.1 m
D. 2.5 m
Answer:
Explanation:
Given:
V₀ = 3.0 m/s
H = 5.2 m
__________
L - ?
Time for the ball to fall vertically:
H = g·t²/2; ⇒ t = √ (2·H / g) = √ (2·5.2 / 9.8) ≈ 1.0 c
Move the ball horizontally:
L = V₀·t = 3.0·1.0 = 3.0 m
If a boy throws a ball with a horizontal velocity of 3.0 m/s, from a height of 5.2 m over the ground , then the horizontal displacement of the ball is 3.09 meters.
What are the three equations of motion?There are three equations of motion given by Newton,
v = u + at
S = ut + 1/2 × a × t²
v² - u² = 2 × a × s
As given in the problem If a boy throws a ball with a horizontal velocity of 3.0 m/s, from a height of 5.2 m over the ground
S = ut + 1/2 × a × t²
5.2 = 0 + 0.5 × 9.8 × t²
t² = 5.2 / 4.9
t = 1.03 seconds
The horizontal displacement of the ball = 1.03 × 3
= 3.09 meters
Thus, the horizontal displacement of the ball is 3.09 meters.
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a 3.00-kg object is fastened to a light spring, with the intervening cord passing over a pulley. the pulley is frictionless, and its inertia may be neglected. the object is released from rest when the spring is unstretched.
Since the pulley has no friction, its inertia may be disregarded. When the spring is retracted, the object is set free from its resting position.
An anti-static displacement spring F = k-x, where k is a constant for a specific spring and 'x' is the compression (or distension) length It is necessary to specify the moment of inertia in relation to a selected axis of rotation. The moment of inertia for a point mass is equal to the mass times the square of the distance perpendicular to the rotation axis, or I = mr2. F = -kx. The term "spring constant" refers to the proportional constant k. It gauges the stiffness of the spring. A spring exerts a force in the direction of its equilibrium position when it is stretched or compressed to a length that differs by an amount x from its equilibrium length.
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6. over what range of distances from the sun would you expect to find only solid, rocky material collecting together to form a terrestrial planet? explain your reasoning.
The distance from the sun at which this material can collect and form a terrestrial planet is influenced by a number of factors, including the presence of volatile materials, and the amount of radiation and heat being emitted by the star.
In general, terrestrial planets are thought to form within a habitable zone, which is a range of distances from a star where the temperature is just right for liquid water to exist on the surface of a planet. This zone is often referred to as the "Goldilocks zone," because it is not too hot and not too cold for life as we know it.
The inner boundary of the habitable zone is determined by the distance at which the temperature of the protoplanetary disk is too high for water ice to exist, while the outer boundary is determined by the distance at which the temperature of the disk is too low for water vapor to remain in the atmosphere.
Based on these factors, it is thought that terrestrial planets can form within a distance range of approximately 0.8 to 1.5 astronomical units (AU) from the sun. One AU is the average distance from the Earth to the sun, which is about 93 million miles.
There is a bell at the top of a tower with a mass of 20kg. If it had 8829 J of gravitational potential energy, estimate how many floors the tower has.
Answer:
10 floors
Explanation:
We are told that a bell of mass 20 kg is atop a tower and has 8829 J of gravitational energy. The question asks us to estimate the number of floors the tower has.
To do this, we must first calculate how high above the ground the bell is. We can do that using the formula for gravitational potential energy:
\(\boxed{g.p.e = mgh}\),
where:
• g.p.e = gravitational potential energy (8829 J)
• m = mass of object (20 kg)
• g = acceleration due to gravity (approximately 10 m/s²)
• h = height of object above ground (? m).
Using the above information and formula, we can solve for h:
g.p.e = \(20 \times 10 \times h = 8829\)
⇒ \(200 h = 8829\)
⇒ \(h = \frac{8829}{200}\)
⇒ \(h = \bf 44.145 \ m\)
Therefore the bell is 44.145 m above the ground, which means that the height of the tower is also 44.145 m.
One floor of a building can be estimated to be around 4.3 m, therefore the number of floors the tower has is:
44.145 ÷ 4.3
≈ 10
Therefore there are 10 floors in the tower.
What allows negative feedback to control a system?
A. The system slows down when input is reduced.
B. The system speeds up when output is increased.
C. The system has parts that sense the amount of input O
D. The system has parts that sense the amount of output.
Answer: It's D.
Explanation:
I just did it.
The system has parts that sense the amount of output, allows negative feedback to control a system. Option D is correct.
What is system?A system is a collection of interconnected or interacting pieces that follow a set of rules to produce a coherent whole.
The limits, structure, and purpose of a system, which is surrounded and impacted by its environment, are characterized and expressed in its functioning.
A feedback system helps the system to work in the productive way. Negative comments might help you get back on track. It allows you to view projects and activities in a new light.
It allows you to learn, grow, and improve anything from your own talents to the project you're working on right now.
The system has parts that sense the amount of output, allows negative feedback to control a system.
Hence, option D is correct.
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What is the constraint forces
Answer:
(1) Support
(2) Tension
(3) Reaction
The constraint forces are forces that occur in pairs such that the net force (effect) is zero
The details of the constraint forces are;
(1) The support force at the top of the swing acting upwards
(2) The tension in the swing rope acting upwards
(3) The (normal) reaction between the legs of the swing frame and the ground
Explanation:
The normal reaction is the force equal in magnitude and opposite in direction to the total weight force the swing and the person on the swing posses due to gravitational attraction which prevents the downward or sideways motion of the entire swing
What is the acceleration of an 24 kg object that applies a force of 130N?
Answer:
To find the acceleration of the object we have to apply Newton second law of motion that is F = mass × acceleration.
Explanation:
Given ,
F = 130N
M = 24kg
A = ?
F = m× a
then ,
130N = 24kg ×a
a = 130/24 = 5 m/s.
A bullet of mass, 50g, travelling at 500m/s strikes a stationery block of mass 2kg resting on a smooth surface. The bullet goes through and comes out on the other side at 200m/s. Calculate the speed of the block after th3 bullte has come out.
bullet points are for week people got to have more heart
Calculate the frequency of a vibrating body if it vibrates 400 times in 20 seconds. Identify the category of sound it belongs to.(sonic sound/ ultrasound/ infra sound)
Answer:
F+20Hz
Explanation:
What is the magnitude of the force on a calcium ion with charge +e? Large electric fields in cell membranes cause ions to move through the cell wall. The field strength in a typical membrane is 1.0 x 10^7 N/C.
The magnitude of the force on the calcium ion is 1.0 x 10^7 N/C * e = 1.6 x 10^-19 N.
What is magnitude?Magnitude is a measure of the size or strength of a physical quantity, such as size, brightness, or intensity. Magnitude can be measured in terms of intensity, size, brightness, or a combination of those criteria. For example, the magnitude of an earthquake is usually determined by measuring the intensity of the seismic waves that are generated by the earthquake. Magnitude is also used to measure the brightness of stars, with the brightest stars being given the highest magnitude.
The magnitude of the force on a calcium ion with charge +e is equal to the field strength multiplied by the charge of the ion. Thus, the magnitude of the force on the calcium ion is 1.0 x 10^7 N/C * e = 1.6 x 10^-19 N.
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A constant force is applied to an object, causing the object to accelerate at 6. 00 m/s2. What will the acceleration be if
The rate of acceleration if force is doubled is same, if the objects mass is doubled it is halved, if both the object mass and force are doubled the acceleration will be same , d- acceleration will be quadrupled
Newton's second law of motion states that force is equal to mass multiplied by acceleration: F = m * a, where F is the applied force, m is the object's mass, and an is the acceleration produced.
a- When the force is doubled, the acceleration doubles as well. Using the formula, we get:
F' = 2F
a' = F' / m = (2F) / m = 2F / (2m) = F / m = a
B- If the mass is doubled, the acceleration will be halved. Using the equation, we get:
m' = 2m
a' = F / m' = F / (2m) = a / 2
C- If both the force and the mass are doubled, the acceleration will remain the same. Using the equation, we get:
F' = 2F
m' = 2m
a' = F' / m' = (2F) / (2m) = F / m = a
D- If the force is doubled and the mass is halved, the acceleration will be quadrupled. Using the equation, we get:
F' = 2F
m' = m / 2
a' = F' / m' = (2F) / (m/2) = 4F / m = 4a
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The complete question is:
When a constant force is applied to an object, it accelerates at 6.0 m/s2. What will be the rate of acceleration if
the force doubled?
the object's mass doubled?
Both the force and the mass of the object are doubled?
The force is doubled, but the object's mass is cut in half?
A can of bean rolls off a horizontal table with a velocity of 0.44 m/s. If the table is 0.95 meters high, how long did it take the can to hit the floor.
2.15 s time it take the can to hit the floor when a can of bean rolls off a horizontal table with a velocity of 0.44 m/s
velocity=distance/time
time=distance/velocity
time=0.95/0.44
time=2.15 s
A vector number called velocity can be used to express "the speed at which an object changes its location." Imagine someone moving quickly while taking two steps forward and two steps back, all while remaining in the same place. A vector quantity is velocity. As a result, velocity is aware of direction. When calculating an object's velocity, the direction must be taken into consideration. A speed of 55 miles per hour is insufficient detail. The velocity of the item must be properly described in terms of the direction. Simply explained, the velocity vector's direction shows how an item is moving.
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An iron nail is more strongly attracted to the a) north pole of a magnet b) south pole of a magnet. c) north or south pole-no difference really
An iron nail is drawn to the magnet's north pole and adheres to it. The iron nail becomes a conduit for the magnetic field lines. As a result, the side that becomes attached to the North Pole serves as the South Pole.
Is an iron nail more drawn to a magnet's north or south pole?
A magnet's strength is greatest close to its poles. Therefore, the magnet's two poles will attract the greatest amount of nails.
An iron nail is more attracted to which pole of a magnet?
Iron nails are magnetically inducted to acquire the opposite polarity when they are brought close to one end of a magnet. Since opposing poles are drawn to one another,
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What reaction/soccur between an acid and base.
Answer:
neutralization reaction
Explanation:
The reaction of an acid with a base is called a neutralization reaction.
es una reacción química que ocurre entre un ácido y una base produciendo sal y agua. ... Se mezcla un ácido fuerte con una base fuerte: Cuando esto sucede, la especie que quedará en disolución será la que esté en mayor cantidad respecto de la otra.
help me pls its for my science class i need to show my work
Answer:
P = 5880 J
Explanation:
Given that,
The mass of the block, m = 30 kg
The block is sitting at a height of 20 m.
The block will have gravitational potential energy. The formula for gravitational potential energy is given by :
\(P=mgh\\\\=30\times 9.8\times 20\\\\=5880\ J\)
So, the required potential energy is equal to 5880 J.
1. Why is Mars red?
2. Why doesn’t Mars have liquid water now? What evidence is there that Mars once had liquid water?
3. Is the surface of Mars young, like the surface of Venus? How would you know?
Answer:
1.Because the soil looks like rusty iron
A skateboarder rolls off a horizontal ledge that is 1.32m high and lands 1.88m from the base of the ledge. What was the initial velocity? (Unit=m/s)
Answer:
Velocity = 3.622 m/s
Explanation:
Given:
Starting height = 1.32 m
Distance = 1.88 m
Find:
Velocity
Computation:
Using 2nd equation of motion.
s = ut + [1/2]gt² , where g = 9.8 m/s² and u = 0
1.32 = [1/2][9.8]t²
Time (t) = 0.519 sec
We know that
Velocity = Distance / Time
Velocity = 1.88 / 0.519
Velocity = 3.622 m/s
PLEASE HELP
Question: How would the paths of motion of the planets change if the gravitational force of the sun were to suddenly disappear?
The planets currently move in ___ paths. Newton observed that objects always move in straight paths unless ____. This means that removing the force of gravity would cause them to ____.
The paths of motion of the planets, if the gravitational force of the sun were to suddenly disappear will be a straight line.
The orbits in which the planets revolve around the Sun is elliptical in shape. Johannes Kepler was the first to discover the elliptical shape of orbits which was called as Kepler's laws of planetary motion.
According to Newton's first law of motion, objects always move in straight paths unless acted upon by an external force. This means that removing the force of gravity would cause them to move a straight line tangential to the orbit that it was revolving about.
Therefore,
The planets currently move in elliptical pathsNewton observed that objects always move in straight paths unless acted upon by an external forceThis means that removing the force of gravity would cause them to move a straight lineTo know more about Kepler's laws of planetary motion
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NEED HELP!!! 10 POINTS!!!
Taj knows that he wants to build muscle, particularly in his legs. He decides to hit the gym. He decides that he does not need a personal trainer because he pretty much knows how to use the equipment. As long as he works them all, he’ll see results. What advice would you give Taj?
A.
He is right—any workout is a good workout.
B.
He should just take up running of he wants stronger legs.
C.
He would get better results if he learned to target distinct muscle groups.
D.
He can only get the results he wants if he spends a lot on a personal trainer.
PLEASE NO LINKS
Answer:
The answer is D
Explanation:
Because a personal trainer knows more than taj that how to build a muscle and safely.
Taj knows that he wants to build muscle, particularly in his legs. He decides to hit the gym. He decides that he does not need a personal trainer because he pretty much knows how to use the equipment. As long as he works them all, he’ll see results. Advice to give is he can only get the results he wants if he spends a lot on a personal trainer.
What is personal trainer?
A personal trainer is someone who develops and provides safe, effective workout plans for people who appear to be in good health.
Personal trainers work one-on-one with you to develop a fun fitness routine and assist with building strong legs that is need of Taj.
Advice to Taj is he can only get the results he wants if he spends a lot on a personal trainer.
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If a car weighs 1500 kg and is traveling at 40 m/s, how much kinetic energy does it have?
Answer:
KE = (1/2)mv^(2) = (1/2)1500(7^(2)) = 36750J
Explanation:
To determine the kinetic energy of the car, we need to use the formula for kinetic energy. The formula is KE=(1/2)mv^(2) where m is the mass of the object (in kg) and v is the speed of the object (in meters per second, which is often written as (m/s)).
In the case we are looking at, our object is the car, the mass, m = 1500kg and the speed, v = 7m/s. Plugging these values into the formula for kinetic energy and using our calculator we get the following:
KE = (1/2)mv^(2) = (1/2)1500(7^(2)) = 36750J
Which formula for net force contains an error?
A) \(F_{net} =\) Δv/Δt
B) \(F_{net} =\) mΔv/Δt
C) \(F_{net} =\) ma
D) \(F_{net} =\) Δp/Δt
Answer:
A) lacks the mass of the object
9. A bicyclist is moving down a hill. Her position on the hill gives her 720 J of potential energy, and her
movement gives her 680 J of kinetic energy. What is her total mechanical energy?
A. 260 J
B. 1400 J
C. 2648 J
D. 2.86×105 J
The total mechanical energy of the bicyclist is 1400 J, obtained by adding her potential energy of 720 J and kinetic energy of 680 J. The correct answer is option B.
The total mechanical energy of a moving object is the sum of its kinetic energy and potential energy. Kinetic energy is defined as the energy an object has due to its motion, whereas potential energy is the energy an object has due to its position or configuration.Therefore, the total mechanical energy of the bicyclist is calculated by adding her kinetic energy and potential energy. According to the question, the bicyclist has 720 J of potential energy and 680 J of kinetic energy.Total mechanical energy = Potential energy + Kinetic energy = 720 J + 680 J = 1400 JTherefore, the total mechanical energy of the bicyclist is 1400 J. Therefore, the correct answer is option B.For more questions on mechanical energy
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A pitcher throws a 150g baseball so that it crosses home plate with a speed of 40 m/s. The ball hit straight back towards the pitcher at 45 m/s. If the contact time between the ball and the bat is 2x10^-3 seconds, what is the magnitude of the force on the ball?
Momentum = (mass) x (velocity)
On the way to the plate, the momentum of the ball was
(0.15 kg) x (40 m/s this way <==) = 6 kg-m/s this way <==
After the hit, the momentum of the ball was
(0.15 kg) x (45 m/s that way ==>) = 6.75 kg-m/s that way ==>
The CHANGE in momentum was 12.75 kg-m/s that way ==>
That's the momentum that the bat gave it.
Change in momentum = Impulse
Impulse = (force) x (length of time the force lasts)
12.75 kg-m/s = (force) x (0.002 second)
Force = (12.75 kg-m/s) / (0.002 second)
Force = 6,375 Newtons, that way ==>