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
Sonbull [250]
3 years ago
9

a toy car moves around a loop-the-loop track.The loop is 0.5 high.What is the minimum speed of the car at the top of the loop fo

r it to stay on track?
Physics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0

Answer:

The speed of the car at the apex of the loop must be grater than 2.45 m/s

Explanation:

In order for the car to not fall off the track at the apex of the loop, the norm force of the track at the apex must be greater than zero.

Assuming frictionless life on the track which is also to have a perfectly circular shape near the top (radius being 0.25m), the norm force of the track and gravity both point down and result in the centripetal force:

F_c=F_N+F_g

The formula for centripetal force on a circular trajectory is

F_c = m\frac{v^2}{r}

and so the condition for the car to stay on the track can be written as

m\frac{v^2}{r} = F_N + mg\implies F_N = m\frac{v^2}{r}-mg>0\\\implies |v| >\sqrt{gr}=\sqrt{9.8\frac{m}{s^2}0.25m}=2.45\frac{m}{s}

The speed of the car at the apex of the loop must be grater than 2.45 m/s


You might be interested in
Which type of mirror causes light to spread out?
saw5 [17]
A convex mirror makes a reflected light rays spread out.
3 0
3 years ago
Read 2 more answers
What is mass loss and how does it figure in the death of a star? is the sun undergoing mass loss
Debora [2.8K]

111122 is the mass of the star

8 0
3 years ago
A ball thrown horizontally at vi = 30.0 m/s travels a horizontal distance of d = 55.0 m before hitting the ground. from what hei
tekilochka [14]
Assume no air resistance, and g = 9.8 m/s².

Let
x =  angle that the initial velocity makes with the horizontal.
u = 30 cos(x), horizontal velocity
v = 30 sin(x), vertical launch velocity

The horizontal distance traveled is 55 m, therefore the time of flight is
t = 55/[30 cos(x)] = 1.8333 sec(x)  s

With regard to the vertical velocity, and the time of flight,obtain
[30 sin(x)]*(1.8333 sec(x)) + (1/2)*(-9.8)*(1.8333 sec(x))² = 0
 55 tan(x) - 16.469 sec²x = 0
55 tan(x) - 16.469[1 + tan²x] = 0
16.469 tan²x - 55 tan(x) + 16.469 = 0
tan²x - 3.3396 tan(x) + 1 = 0

Solve with the quadratic formula.
tan(x) = 0.5[3.3396 +/- √(7.153)] = 3.007 or 0.3326
Therefore
x = 71.6° or x = 18.4°

The time of flight is
t = 1.8333 sec(x) = 5.8096 s or 1.932 s
The initial vertical velocity is
v = 30 sin(x) = 28.467 m/s or 9.468 m/s
The horizontal velocity is
u = 30 cos(x) = 9.467 m/s or 28.469 m/s

If t = 5.8096 s,
  u*t = 9.467*5.8096 = 55 m (Correct)
or
 u*t = 28.469*15.8096 = 165.4 m (Incorrect)

Therefore, reject x = 18.4°. The correct solution is
t = 5.8096 s
x = 71.6°
u = 9.467 m/s
v = 28.467 m/s

The height from which the ball was thrown is
h = 28.467*5.8096 - 0.5*9.8*5.8096² = -110.4 m
The ball was thrown from a height of 110.4 m

Answer: h = 110.4 m

7 0
3 years ago
The electric eye that prevents an elevator door from closing when you are in the doorway relies upon which physics principle?
goblinko [34]
It's Photoelectric Effect, I just a test with this same question. I am not good for explaining exactly how, but I was right.
3 0
3 years ago
Read 2 more answers
In the circuit described by the diagram, which pair of resistors is connected in parallel?
scoundrel [369]

Option 4 ( R2 and R3 ) is the correct answer.

Explanation:

  • In the below given diagram, we can see a circuit diagram that has four resistors such as R1, R2, R3, and R4.
  • The opening of the circuit is noted as "a" and the ending is noted as "b".
  • By observing the above diagram, we can clearly see that R2 and R3 are the pair of resistors that are connected in a parallel manner.
  • Where all the other resistors such as R1 and R4 are neither connected in parallel nor in series.

Hence we can conclude that Resistor R2 and R3 are the ones that are connected in parallel.

6 0
3 years ago
Other questions:
  • What do scientists use to divide the geologic time scale?
    5·1 answer
  • a motivated approach to dream interpretation claims that most dreamers will interpret their dreams _____.
    14·1 answer
  • If you use such a tank to fill 0.020 m3 foil balloons (which don't stretch, and so have an internal pressure that is very close
    7·1 answer
  • At which part of its orbit is the planet traveling at the slowest speed?<br> A, B, C, or D
    12·2 answers
  • An electric device uses 650 watts of power. If the voltage is 120 volts, what is the resistance?
    14·2 answers
  • What is the momentum of a child and a bicycle if the total mass of th
    8·1 answer
  • I need help with this. Lab: Conservation of Linear Momentum<br>Assignment: Lab Report Urgent!!
    6·2 answers
  • (True/False) According to Newton’s third law of motion, it is true that an object moving at a constant speed in a straight path
    8·1 answer
  • What energy transformation takes place when you stretch a bungee cord?
    11·1 answer
  • A particular light source gives off light waves with a measured wavelength of
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!