answer.
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
PtichkaEL [24]
2 years ago
9

A mouse runs along a baseboard in your house. The mouse's position as a function of time is given by x(t)=pt2+qt, with p = 0.36

m/s2 and q = -1.20 m/s .
Determine the mouse's average speed between t=1.0s and t=4.0s
Physics
1 answer:
AlexFokin [52]2 years ago
5 0

Answer:

0.60 m/s

Explanation:

The average velocity from t = a to t = b is:

v_avg = (x(b) − x(a)) / (b − a)

Given that x(t) = 0.36t² − 1.20t, and the time is from 1.0 to 4.0:

v_avg = (x(4.0) − x(1.0)) / (4.0 − 1.0)

v_avg = [(0.36(4.0)² − 1.20(4.0)) − (0.36(1.0)² − 1.20(1.0))] / 3.0

v_avg = [(5.76 − 4.8) − (0.36 − 1.20)] / 3.0

v_avg = [0.96 − (-0.84)] / 3.0

v_avg = 0.60

The average speed is 0.60 m/s.

You might be interested in
A thin hoop with a mass of 5.0 kg rotates about a perpendicular axis through its center. A force F is exerted tangentially to th
Stella [2.4K]

Given :

Thin hoop with a mass of 5.0 kg rotates about a perpendicular axis through its center.

A force F is exerted tangentially to the hoop. If the hoop’s radius is 2.0 m and it is rotating with an angular acceleration of 2.5 rad/s².

To Find :

The magnitude of F.

Solution :

Torque on hoop is given by :

\tau =F\times R\\\\I\alpha = FR\\\\MR^2\alpha = FR\\\\F = MR\alpha( Moment of Inertia of hoop is MR² )

Putting  value of M, R and α in above equation, we get :

F=5\times 2\times 2.5\ N\\\\F = 25  \ N

Therefore, the magnitude of force F is 25 N.

Hence, this is the required solution.

5 0
1 year ago
This is a cell, which is the basic unit of all life. All organs in human bodies are made of cells and require oxygen to survive.
kotegsom [21]
The two systems that work together to deliver oxygen are D, respiratory and cardiovascular
5 0
2 years ago
Electric charge is uniformly distributed inside a nonconducting sphere of radius 0.30 m. The electric field at a point P, which
krok68 [10]

Answer:

E_{max}=41666.66\ N/C

Explanation:

Given that,

The radius of sphere, r = 0.3 m

Distance from the center of the sphere to the point P, x = 0.5 m

Electric field at point P, E_P=15000\ N/C (radially outward)

The maximum electric field is at the surface of the sphere. We know that the electric field is inversely proportional to the distance. So,

\dfrac{E_{max}}{E_p}=\dfrac{0.5^2}{0.3^2}

\dfrac{E_{max}}{15000}=\dfrac{0.5^2}{0.3^2}

{E_{max}}=\dfrac{0.5^2}{0.3^2}\times 15000

E_{max}=41666.66\ N/C

So, the magnitude of the electric field due to this sphere is 41666.66 N/C. Hence, this is the required solution.

6 0
2 years ago
Before leaving the house in the morning, you plop some stew in your slow cooker and turn it on Low. The slow cooker has a 160 Oh
guajiro [1.7K]

Answer:

Total charge flow through the cooker is 21600 C

Explanation:

As we know that the current flow through the cooker is given by Ohm's law

here it is given as

V = i R

i = \frac{V}{R}

i = \frac{120}{160}

i = \frac{3}{4} A

now the charge flow through it is given as

Q = i t

total time is t = 8 hours

Q = \frac{3}{4}(8 \times 60 \times 60)

Q = 21600 C

7 0
2 years ago
The amount of pressure required to move a 6800 lb force with a 6" d piston is ___ psi.
Katena32 [7]
The pressure needed in PSI = Pounds of force needed divided by the cylinder Area
The Cylinder rod Area is 21.19  sq inches
Thus, the pressure= 6800/21.19
                              = 320.91 PSI

7 0
2 years ago
Other questions:
  • A 1.0 kg object is attached to a string 0.50 m. It is twirled in a horizontal circle above the ground at a speed of 5.0 m/s. A b
    6·1 answer
  • Serena is a research student who has conducted an experiment on the discoloration of marble. Read about Serena’s experiment. The
    9·1 answer
  • Arwan finds a piece of quartz while hiking in the mountains. When he returns to school, he takes it to his science teacher. She
    7·2 answers
  • When Trinity pulls on the rope with her weight, Newton's Third Law of Motion tells us that the rope will _____
    8·2 answers
  • An electret is similar to a magnet, but rather than being permanently magnetized, it has a permanent electric dipole moment. Sup
    10·2 answers
  • A wind turbine works by slowing the air that passes its blades and converting much of the extracted kinetic energy to electric e
    13·1 answer
  • A 3.00-kg ball swings rapidly in a complete vertical circle of radius 2.00 m by a light string that is fixed at one end. The bal
    5·1 answer
  • A and B, move toward one another. Object A has twice the mass and half the speed of object B. Which of the following describes t
    13·1 answer
  • An amusement park ride consists of airplane-shaped cars attached to steel rods. Each rod has a length of 15m and a cross-section
    6·1 answer
  • 8. An unpowered flywheel is slowed by a constant frictional torque. At time t = 0 it has an angular velocity of 200 rad/s. Ten s
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!