1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Amiraneli [1.4K]
3 years ago
5

A train of mass 3.3 × 10^6 kg is moving at a constant speed up a slope inclined at an angle of 0.64°

Physics
1 answer:
AnnyKZ [126]3 years ago
4 0

Answer:

C. 39 m/s

Explanation:

First we need to calculate the total force required to move the train along the inclined plane. So, it is clear that the work done will be equal to the component of the weight that is parallel to the inclined plane, because there is no frictional force present:

Force = F = mg Sin θ

where,

m = mass of train = 3.3 x 10⁶ kg

g = 9.8 m/s²

θ = Angle of Inclination = 0.64°

Therefore,

F = (3.3 x 10⁶ kg)(9.8 m/s²)Sin 0.64°

F = 3.612 x 10⁵ N

Now, the formula for power is:

P = FV

V = P/F

where,

V = Velocity of Train = ?

P = Power of Engine = 14 MW = 1.4 x 10⁷ W

Therefore,

V = 1.4 x 10⁷ W/3.612 x 10⁵ N

V = 38.75 m/s

which is approximately equal to:

<u>C. 39 m/s</u>

You might be interested in
You are assigned the design of a cylindrical, pressurized water tank for a future colony on Mars, where the acceleration due to
Sergeeva-Olga [200]

Answer:

630.93 kN of force.

Explanation:

Pressure inside the tank is 150 kPa

The acceleration due to gravity on Mars g is 3.71 m/s^2.

The depth of water h is 13.6 m.

Pressure due to air outside tank is 93 kPa

The density of water p is 1000 kg/m^3

Pressure of the water on the tank bottom will be equal to pgh

Pressure of water = pgh

= 1000 x 3.71 x 13.6 = 50456 Pa

= 50.456 kPa.

Total pressure at the bottom of the tank will be pressure within tank and pressure due to water and pressure outside tank.

Pt = (150 + 50.456 + 93) = 293.456 kPa

Force at the bottom of the tank will be pressure times area of tank bottom.

F = Pt x A

F = 293.456 x 2.15 m^2 = 630.93 kN

7 0
3 years ago
Suppose that after walking across a carpeted floor you reach for a doorknob and just before you touch it a spark jumps 0.95cm fr
alexandr402 [8]

To solve this problem we will consider the definition of Minimum Energy, as the change between the minimum voltage and its distance. Mathematically it can be written as

E_{min} = \frac{V_{min}}{r}

Rearranging to find the Voltage,

V_{min} = E_{min} \times r

Replacing,

V_{min} = (3.0) \times (0.95*10^4)

V_{min} = 28500V

Therefore the minimum voltage needed between your finger and the doorknob to generate this spark is 28.5kV

8 0
3 years ago
A person in a kayak starts paddling, and it accelerates from 0 to 0.65 m/s in a distance of 0.40 m. If the combined mass of the
SCORPION-xisa [38]

Answer:

Magnitude of the net force acting on the kayak = 39.61 N

Explanation:

Considering motion of kayak:-

Initial velocity, u =  0 m/s

Distance , s = 0.40 m

Final velocity, v = 0.65 m/s

We have equation of motion v² = u² + 2as

Substituting

   v² = u² + 2as

    0.65² = 0² + 2 x a x 0.4

    a = 0.53 m/s²

We have force, F  = ma

Mass, m = 75 kg

    F  = ma = 75 x 0.53 = 39.61 N

Magnitude of the net force acting on the kayak = 39.61 N

6 0
3 years ago
How do intensity, frequency, and time affect physical fitness?
Y_Kistochka [10]
Important bc it makes it more effective, the specific rate makes or breaks the fitness. Frequency is important to allow your body to rebuild and repair the damage from working out, it allows the body to adapt and time for rest/ healing. Intensity depends on how much your body breaks so the recover time and frequency must be adjusted. Time effects because of the distance between frequencies which plays a role.
5 0
3 years ago
Megan rode the bus to school, which is located 8 kilometers from her home. If Megan's frame of reference is her house, and it to
Dmitriy789 [7]

Answer:

Explanation: idk sry

7 0
3 years ago
Other questions:
  • To travel from australia to south africa which direction would you go
    14·1 answer
  • Which Legal right is available to criminal defendants but not civil defendants ?
    9·1 answer
  • A simple pendulum 0.64m long has a period of 1.2seconds. Calculate the period of a similar pendulum 0.36m long in the same locat
    8·1 answer
  • Sediments are deposited in an alluvial fan because __________________________________________
    12·1 answer
  • Why is the answer B for this problem?
    12·1 answer
  • A 200 kg weather rocket is loaded with 100 kg of fuel and fired straight up. It accelerates upward at 30 m/s2 for 30 s, then run
    10·1 answer
  • What is the current flowing through the 20-ohm resistor? A. 1 A
    10·1 answer
  • a lamp hangs from the ceiling at the height of 2.9 m. if the lamp breaks and falls to the floor what is its impact speed
    13·1 answer
  • A plane flies toward a stationary siren at 1/4 the speed of sound. Then the plane stands still on the ground and the siren is dr
    7·1 answer
  • Which statement uses power correctly? (1 point)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!