A bear is sitting at rest on a tricycle. The bear then starts to accelerate uniformly at a rate of 2.5 m/s2 (meters per second square). How long will it take the bear to reach a velocity of 15 m/s (meters per second)

Answers

Answer 1
Answer:

Answer:

6.0 s

Explanation:

Given:

u = 0 m/s

v = 15 m/s

a = 2.5 m/s²

Find: t

v = u + at

15 = 0 + (2.5) t

t = 6.0 s


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On a horizontal frictionless surface a mass M is attached to two light elastic strings both having length l and both made of the same material. The mass is displaced by a small displacement Δy such that equal tensions T exist in the two strings, as shown in the figure. The mass is released and begins to oscillate back and forth. Assume that the displacement is small enough so that the tensions do not change appreciably. (a) Show that the restoring force on the mass can be given by F = -(2T∆y)/l (for small angles) (b) Derive an expression for the frequency of oscillation.

Which of the following does not accurately depict a scientific theory?A. Theories are tested over and over again.
B. Theories are supported in many ways.
C. Theories may be changed or replaced if new evidence is found.
D. Theories are absolute truths.

Answers

Scientific theories are not absolute and unquestionable truths: they are the best explanation of the data, but they can be challenged if  new data is discovered or if a new theory is found that fits to and explains the data even better!
The best answer is d: this is not an accurate description of a scientific theory!

the light that plants absorb to preform photosynthesis has a wavelength that peaks near 675nm. express this distance in (a) millimeters and (b) meters.

Answers

675 nM is  675 x 10⁻⁹ meter ...  0.000 000 675 meter .

That's   0.000 067 5  of one centimeter

             0.000 675      of one millimeter

a warrior swings a slingshot in a horizontal circle above his head at a constant speed. The sling is 1.5 m long, and the stone has a mass of 50 g. The tension in the string is 3.3 N. When he releases the sling, what will the stone's speed be?

Answers

The speed of the stone when he releases the sling is equal to 9.95 m/s.

Given the following data:

  • Length of sling (radius) = 1.5 meter
  • Mass of stone = 50 grams to kg = 0.05 kg
  • Tension = 3.3 Newton

To determine the speed of the stone when he releases the sling:

First of all, we would solve for the angular velocity of the stone by applying

the law of conservation of momentum.

Tension in the string = Centrifugal force of the stone

Tension = mrw^2

\omega = \sqrt{(Tension)/(mr) } \n\n\omega = \sqrt{(3.3)/(0.05 * 1.5) }\n\n\omega = √(44)

Angular velocity = 6.63 rad/s

Now, we can determine the speed of the stone when he releases the sling:

V = r\omega\n\nV=1.5 * 6.63

Speed, V = 9.95 m/s

Read more: brainly.com/question/17742679

r = 1.5 m , m = 0.05 kg
Tension = Centrifugal force
T= mrw² , w = angular velocity
3.3 N = 0.05 x 1.5 x w²
w = 6.63 rps
Linear Velocity = rw = 1.5 x 6.63 = 9.945 m/s

The part of your brain that controls muscle coordination and posture is the

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The part of your brain that controls muscle coordination and posture is the cerebellum. This portion also maintains posture, balance, and internal equilibrium. c:

Answer:

The Cerebellum controls muscle coordination and posture.

What is required to cause acceleration?

Answers

F = ma

Where m = mass of body,  a = acceleration.

F = ma = m(v - u)/t

So for an acceleration to occur, a force is required.

Also a change of velocity is required for acceleration to occur.

Three balls leave the edge of a table at the same time. Ball A rolls off the table with an initial horizontal velocity. Ball B is launched at an angle and has both an initial horizontal and vertical velocity. Ball C is dropped from rest, and has no initial velocity.a) Explain which one(s) hit the ground first.

b) Explain which one(s) hit the ground last

Answers

Explanation:

Balls A and C have the same initial vertical velocity of zero. Therefore, they land at the same time.

Ball B has a positive initial vertical velocity, so it hits the ground last.