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miskamm [114]
2 years ago
6

A glider attached to a horizontal spring oscillates on a horizontal air track. The total mechanical energy of the oscillation is

0.00500 J, the amplitude of the oscillation is 0.0300 m, and the maximum speed of the glider is 0.145 m/s. What is the force constant of the spring
Physics
1 answer:
Paraphin [41]2 years ago
4 0

Answer:

The force constant of the spring is 11.11 N/m.

Explanation:

Given;

mechanical energy of the oscillation, E = 0.005 J

amplitude of the oscillation, A = 0.03 m

maximum speed of the glider, V = 0.145 m/s

Energy is conserved in simple harmonic motion, the total mechanical energy is given as;

E = ¹/₂kA²

Where;

A is the amplitude of the oscillation

k is the force constant

Make k the subject of the formula, from the equation above;

kA² = 2E

k = 2E / A²

k = (2 x 0.005) / (0.03²)

k = 11.11 N/m

Therefore, the force constant of the spring is 11.11 N/m.

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In the absence of air resistance, at what other angle will a thrown ball go the same distance as one thrown at an angle of 75 de
snow_tiger [21]

As we know that range of the projectile motion is given by

R = \frac{v^2 sin(2\theta)}{g}

here we know that range will be same for two different angles

so here we can say the two angle must be complementary angles

so the two angles must be

\theta, 90 - \theta

so it is given that one of the projection angle is 75 degree

so other angle for same range must be 90 - 75 = 15 degree

so other projection angle must be 15 degree

5 0
2 years ago
The force generated by a single muscle fiber can be increased by increasing is called
mars1129 [50]

Answer:

The force generated by a single muscle fiber can be increased by increasing the frequency of action potentials

Explanation:

The force generated by a muscle fiber is the result of the shortening of the skeletal muscle, and this force is also know as muscle tension. The larger motor units shorten along with the smaller units to produce the muscle force. The time lapsed between the beginning of the action potential in the muscle and the beginning of the contraction is the latent period. Action potential is the result of the difference electrical potential as a result of passage of an impulse along the membrane of a muscle or nerve cell.

4 0
3 years ago
A physical pendulum consists of a meter stick that is pivoted at a small hole drilled through the stick a distance d from the 50
PSYCHO15rus [73]

Answer:

(a). The value of d is 0.056 cm and 1.496 cm.

(b). The time period is 1.35 sec.

Explanation:

Given that,

Length = 50.00 cm

Time period = 2.50 s

Time period of pendulum is defined as the time for one complete cycle.

The period depends on the length of the pendulum.

Using formula of time period

T=2\pi\sqrt{\dfrac{I}{mgh}}

Where, I = moment of inertia

We need to calculate the value of d

Using parallel theorem of moment of inertia

I=I_{cm}+md^2

For a meter stick mass m , the rotational inertia about it's center of mass

I_{cm}-\dfrac{mL^2}{12}

Where, L = 1 m

Put the value into the formula of time period

T=2\pi\sqrt{\dfrac{\dfrac{mL^2}{12}+md^2}{mgd}}

T=2\pi\sqrt{\dfrac{L^2}{12gd}+\dfrac{d}{g}}

T^2=4\pi^2(\dfrac{L^2}{12gd}+\dfrac{d}{g})

Multiplying both sides by d

tex]T^2d=4\pi^2(\dfrac{L^2}{12g}+\dfrac{d^2}{g})[/tex]

(\dfrac{4\pi^2}{g})d^2-T^2d+\dfrac{\pi^2L^2}{3g}=0

Put the value of T, L and g into the formula

4.028d^2-6.25d+0.336=0

d = 0.056\ m, 1.496\ m

The value of d is 0.056 cm and 1.496 cm.

(b). Given that,

L = 50-5 = 45 cm

We need to calculate the time period

Using formula of period

T=2\pi\sqrt{\dfrac{l}{g}}

Put the value into the formula

T=2\pi\sqrt{\dfrac{45\times10^{-2}}{9.8}}

T=1.35\ sec

Hence, (a). The value of d is 0.056 cm and 1.496 cm.

(b). The time period is 1.35 sec.

7 0
3 years ago
Match the following:
Nadusha1986 [10]

Answer:

Statement 1 can be matched with option f (Van der waal forces)

Statement 2 can be matched with option b (Liquid crystal)

statement 3 can be matched with option e (Thermal expansion)

Statement 4 can be matched with option g (Viscosity)

Statement 5 can be matched with option b (Fractional distillation)

Statement 6 can be matched with option a (Diffusion)

Statement 7 can be matched with option d (Miscible)

Explanation:

  1. Van der waal forces are weak inter-molecular bonds found between covalent molecules e.g molecules of graphite, noble gases etc
  2. Liquid crystals are substances that behave like liquids and its molecules orientate itself like a crystal (solid). They can be referred to as LCs.
  3. Thermal expansion is a phenomenon where by matter changes in shape, volume and area due to a change in temperature.
  4. Viscosity is a term used to describe a fluid's resistance to flow. It is also used to describe the internal friction that a moving liquid experiences. Oil is more viscose than liquid water
  5. Fractional distillation is a separation technique used in separating two or more miscible liquids of close boiling points. For example petrol and diesel oil can be separated using fractional distillation. An industrial application of this technique is Fractional distillation of crude oil where crude oil is separated into its components
  6. Diffusion is the movement of dissolved particles, gases, liquid from a region of higher concentration to a region of lower concentration until there is a equal balance. This can occur when you spray a perfume in one end of a room. You will get to smell the perfume at the other end after some time. Diffusion is fastest in gas as compared to liquids and solids.
  7. Miscible is a word used to describe liquids forming a homogeneous mixture when dissolved in each other. Miscibility is factor to be considered when separating mixture.
7 0
2 years ago
Frank stands still while throwing a dart toward a target with a speed of 25 m/s.
fgiga [73]

ANSWER IS A)

THE SPEED IS 25 M/S FOR BOTH PEOPLE

9 0
3 years ago
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