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
Stels [109]
3 years ago
8

A 1500 kg car is approaching a hill that has a height of 12 m. As the car reaches the bottom of the hill it runs out of gas and

has a constant speed of 10 m/s. Will the car make it to the top of the hill?
Physics
1 answer:
ICE Princess25 [194]3 years ago
3 0

Answer:

No, the car will not make it to the top of the hill.

Explanation:

Let ΔX be how long the slope of the hill is, Δx be how far the car will travel along the slope of the hill, Ф be the angle the slope of the hill makes with the horizontal(bottom of the hill), ki be the kinetic energy of the car at the bottom of the hill and vi be the velocity of the car at the bottom of the hill and kf be the kinetic energy of the car when it stop moving at vf.

Since Ф is the angle between the horizontal and the slope, the relationship between the angle and the slope and the height of the hill is given by

sinФ = 12/ΔX

Which gives you the slope as

ΔX = 12/sinФ

Therefore for the car to reach the top of the hill it will have to travel ΔX.

Ignoring friction the total work done is given by

W = ΔK

W = (kf - ki)

Since the car will come to a stop, kf = 0 J

W = -ki

m×g×sinФ×Δx = 1/2×m×vi^2

(9.8)×sinФ×Δx = 1/2×(10)^2

sinФΔx = 5.1

Δx = 5.1/sinФ

ΔX>>Δx Ф ∈ (0° , 90°)

(Note that the maximum angle Ф is 90° because the slope of a hill can never be greater ≥ 90° because that would then mean the car cannot travel uphill.)

Since the car can never travel the distance of the slope, it can never make it to the top of the hill.

You might be interested in
How much meters is a mile
elena-s [515]

Roughly 1609 meters in one mile

6 0
3 years ago
If you live in a very cold area, you may have seen the depth of a bank of snow shrink even though temperatures remain below the
Aleks04 [339]
<span>To answer the question above, if the day sky is clear it collects radiation. If air is dry snow sublimates faster. If both cases overlap it disappears faster where ever coldest. Thank you for posting your question here. I hope my answer helps. </span>
7 0
3 years ago
Find the net work W done on the particle by the external forces during the motion of the particle in terms of the initial and fi
steposvetlana [31]

Answer:

W=K_f-K_i

Explanation:

The work done on a particle by external forces is defined as:

W=\int\limits^{r_f}_{r_i} {F\cdot dr} \,

According to Newton's second law F=ma. Thus:

W=\int\limits^{r_f}_{r_i}{ma\cdot dr} \,\\

Acceleration is defined as the derivative of the speed with respect to time:

W=m\int\limits^{r_f}_{r_i}{\frac{dv}{dt}\cdot dr} \,\\\\W=m\int\limits^{r_f}_{r_i}{dv \cdot \frac{dr}{dt}} \,

Speed is defined as the derivative of the position with respect to time:

W=m\int\limits^{v_f}_{v_i} v \cdot dv \,

Kinetic energy is defined as K=\frac{mv^2}{2}:

W=m\frac{v_f^2}{2}-m\frac{v_i^2}{2}\\W=K_f-K_i

3 0
3 years ago
Substances released into the air are known as
irakobra [83]

Your answer is Emissions

3 0
2 years ago
Read 2 more answers
If the force squeezing two surfaces together is decreased, the force of dry sliding friction between the two surfaces will most
Anastasy [175]

<em>If the force squeezing two surfaces together is decreased, the force of dry sliding friction between the two surfaces will most likely decrease. </em>

<u>therefore your answer is B)</u><u>d</u><u>e</u><u>crease </u>

Hope this helps you- have a good day bro cya)

7 0
2 years ago
Other questions:
  • 2. What unit of the metric systems would I use if I wanted to weigh my bananas ?
    11·1 answer
  • The diagram shows changing wavelengths along the electromagnetic spectrum. Which labels belong in the areas marked Y and Z? Y: U
    10·1 answer
  • table has several directional compasses, several lengths of wire, an iron nail, a battery, an ammeter, a light bulb, a permanent
    12·1 answer
  • If humans evolved from apes or chimps, why are the chimps and apes still here?
    11·2 answers
  • A small car and a large truck are both driving south at 40 km/h. Which of the following is true?
    15·1 answer
  • What will happen to the speed of an object if the net force is in the direction of the motion?
    8·2 answers
  • Your neighbor’s 14-month-old toddler says things like "cup!" when he means that he would like a cup of milk. Your neighbor think
    8·1 answer
  • Determine the work done by the constant force. The locomotive of a freight train pulls its cars with a constant force of 15 tons
    13·1 answer
  • The law of conservation of momentum states that, if left alone, what happens to the total momentum of two interacting objects th
    8·2 answers
  • A small car with mass of 0.800 kg travels at a constant speed
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!