In a series circuit, each circuit element has the same:a.currentc.capacitanceb.voltaged.resistance

Answers

Answer 1

Answer:

In a series circuit, each circuit element has the same current. The answer is letter A. This is because the electrons flowing in a current has only a single path to follow. There are no other path that the current moves along.

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A 25.6-kg child pulls a 4.81-kg toboggan up a hill inclined at 25.7° to the horizontal. The vertical height of the hill is 27.3 m. Friction is negligible.(a) Determine how much work the child must do on the toboggan to pull it at constant velocity up the hill. (b) Repeat (a) if the vertical height is still 27.3 m, but the angle is 19.6°. What general conclusion can you make? (c) The child now slides down the hill on the toboggan. Determine the total work on the child and toboggan during the slide.

A 5 kg box is sliding across a level floor. The box is acted upon by a force of 27 newtons east and a frictional force of 17 newtons west. What is the magnitude of the acceleration of the box? Type only numbers. Do not include the units of m/s2.

Answers

Answer:

The acceleration of the box is 2.

Explanation:

According to Newton's second law of motion, the acceleration of any object will be directly proportional to the net unbalanced force acting on the object and inversely proportional to the mass of the object.

Net force = Mass × Acceleration

So $Acceleration = (Net force)/(Mass)$

Since in this case, the box is experiencing a force from east of magnitude 27 N and resisting force of about 17 N from west. So the net force will be the difference of acting and reacting force.

Net force = 27-17 = 10 N.

Thus, $Acceleration = (10 N)/(5 kg)$

So 2 $m/s^(2)$ is the acceleration of the box. Thus the magnitude of acceleration of the box is 2.

A 11.0 g rifle bullet is fired with a speed of 380 m/s into a ballistic pendulum with mass 10.0 kg, suspended from a cord 70.0 cm long.a) Compute the vertical height through which the pendulum rises.(cm)
b) Compute the initial kinetic energy of the bullet;(j)
c) Compute the kinetic energy of the bullet and pendulum immediately after the bullet becomes embedded in the pendulum.(j)

Answers

a. The vertical height through which the pendulum rises is equal to 0.9 cm.

b. The initial kinetic energy of the bullet is equal to 794.2 Joules.

c. The kinetic energy of the bullet and pendulum immediately after the bullet becomes embedded in the pendulum is equal to 0.883 Joules.

Given the following data:

Mass of bullet = 11.0 g

Speed = 380 m/s

Mass of pendulum = 10.0 kg

Length of cord = 70.0 cm

a. To determine the vertical height through which the pendulum rises:

First of all, we would find the final velocity by applying the law of conservation of momentum:

Momentum of bullet is equal to the sum of the momentum of bullet and pendulum.

$M_bV_b = (M_b + M_p)V$

Where:

$M_b$ is the mass of bullet.

$M_p$ is the mass of pendulum.

$V_b$ is the velocity of bullet.

V is the final velocity.

Substituting the given parameters into the formula, we have;

$0.011* 380 = (0.011+10)V\n\n4.18 = 10.011V\n\nV = (4.18)/(10.011)$

Final speed, V = 0.42 m/s

Now, we would find the height by using this formula:

$Height = (v^2)/(2g) \n\nHeight = (0.42^2)/(2* 9.8) \n\nHeight = (0.1764)/(19.6)$

Height = 0.009 meters.

In centimeters:

Height = $0.009 * 100 = 0.9 \;cm$

b. To compute the initial kinetic energy of the bullet:

$K.E_i = (1)/(2) M_bV_b^2\n\nK.E_i = (1)/(2) * 0.011 * 380^2\n\nK.E_i = 0.0055* 144400\n\nK.E_i = 794.2 \; J$

Initial kinetic energy = 794.2 Joules

c. To compute the kinetic energy of the bullet and pendulum immediately after the bullet becomes embedded in the pendulum:

$K.E = (1)/(2) (M_b + M_p)V^2\n\nK.E = (1)/(2) *(0.011 + 10) * 0.42^2\n\nK.E = (1)/(2) * 10.011 * 0.1764\n\nK.E = 5.0055 * 0.1764$

Kinetic energy = 0.883 Joules.

Answer:

a) h = 0.0088 m

b) Kb = 794.2J

c) Kt = 0.88J

Explanation:

By conservation of the linear momentum:

$m_b*V_b = (m_b+m_p)*Vt$

$Vt = (m_b*V_b)/(m_b+m_p)$

$Vt=0.42m/s$

By conservation of energy from the instant after the bullet is embedded until their maximum height:

$1/2*(m_b+m_p)*Vt^2-(m_b+m_p)*g*h=0$

$h =(Vt^2)/(2*g)$

h=0.0088m

The kinetic energy of the bullet is:

$K_b=1/2*m_b*V_b^2$

$K_b=794.2J$

The kinetic energy of the pendulum+bullet:

$K_t=1/2*(m_b+m_p)*Vt^2$

$K_t=0.88J$

A waiter is carrying a tray above his head and walking at a constant velocity. If he applies a force of 5.0 newtons on the tray and covers a distance of 10.0 meters, how much is the work being done?

Answers

w = f × x = 5 × 10 = 50

the other answer is wrong, the answer is A. 0 joules for plato users, i got 100 on the test

A farmer uses 3450 J of energy on a wheel and axle to lift a 15 kg bucket of water 20 m to the top of her well. What is the efficiency of the system?

Answers

Efficiency is the measure of how efficient a process is. It is used to assess the ability of a process in avoiding waste energy, materials, money and time in doing a desirable output. It is calculated as;

Efficiency = useful energy ouput / total energy input

Efficiency = 15(9.81)(20) / 3450 = 0.85

Output= m*g*h = 15*9.8*20 = 2,940J

Input= 3450J (given)

Efficiency = output/input = 2,940/3450 = 0.85% efficient

. A nonnative species of animal is introduced into a healthy ecosystem. In it's new environment, this species has no predators, although it preys on several native animals in the ecosystem. Make a prediction about the biodiversity and health of this ecosystem in the future.a.) Biodiversity and ecosystem health will both increase in the future.
b.) Biodiversity and ecosystem will both decrease in the future.
c.) Biodiversity will decrease and ecosystem health will increase in the future.
d.) Biodiversity will increase and ecosystem health will decrease in the future.

Answers

i believe the answer is B!

A dolphin leaps out of the water at an angle of 36.6° above the horizontal. The horizontal component of the dolphin's velocity is 7.87 m/s. Calculate the magnitude of the vertical component of the velocity.