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goldfiish [28.3K]
3 years ago
10

A type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like a cherub in a chair. What f

orce constant is needed to produce a period of 0.320 s for a 0.0190-kg mass?
Physics
1 answer:
Paul [167]3 years ago
8 0

Answer:

k = 7.32 N/m

Explanation:

We know that the time period of a spring mass system is given as follows:

T = 2π√(m/k)

T² = 4π²m/k

k = 4π²m/T²

where,

k = force constant = ?

m = mass = 0.019 kg

T = Time Period = 0.32 s

Therefore,

k = 4π²(0.019 kg)/(0.32 s)²

<u>k = 7.32 N/m</u>

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Define the term dimension<br>​
Vladimir79 [104]

Answer:

Q1. A measurable extent of a particular kind, such as length, breadth, depth, or height.

Q2. A dimensional constant is a physical quantity that has dimensions and has a fixed value. Some of the examples of the dimensional constant are Planck's constant, gravitational constant, and so on.

Q3. Physical quantities which posses dimensions and have variable are called dimensional variables. Examples are length, velocity, and acceleration etc.

Q4. Dimensionless variables are the quantities which doesn't have any dimensions the the value is a variable. Eg: angle = arc/ radius. Dimensions = L/L. = 1. So angle does not have any dimensions and the value can vary.

Q5. Principle of Homogeneity states that dimensions of each of the terms of a dimensional equation on both sides should be the same. This principle is helpful because it helps us convert the units from one form to another.

Q6. Dimensional analysis has been around a long time, Newton called it the "Great principle of Similitude", but the modern form can be traced back to James Clerk Maxwell. It was Maxwell who distinguished mass [A/], length [£], and time [7"] as the independent dimensions from which others could be derived.

Q7. Mass, length, time, temperature, electric current, amount of light, and amount of matter.

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Hope that helps. x

4 0
2 years ago
The Pacific Giant Kelp grows at a rate of 18 in/day. How many centimeters per hour is this?
Airida [17]

For this case we must do a conversion. By definition we have to:

1 inch equals 2.54 centimeters

1 day equals 24 hours.

So, we have:18 \frac {in} {day} * \frac {1} {24} \frac {day} {h} * \frac {2.54} {1} \frac {cm} {in} =

Canceling units we have:

\frac {18 * 1 * 2.54} {24 * 1} \frac {cm} {h} =\\\frac {45.72} {24}\frac {cm} {h} =

1,905 \frac {cm} {h}

Answer:

1,905 \frac {cm} {h}

5 0
3 years ago
Two balls of mass m1 and m2, with velocities v1 and v2 collide head on. Is there any way for both balls to have zero velocity af
nordsb [41]

Answer:

Explanation:

As the final Kinetic energy is zero or less than initial kinetic energy, the collision must be inelastic.  

In Inelastic collision both the bodies must stick together as final velocity is zero for both the bodies.

To conserve the momentum, momentum associated before the collision of first must be equal and opposite to the momentum associated with the second ball.

i.e.

m_1v_1=m_2v_2

8 0
3 years ago
Which type of friction opposes motion?
Lady bird [3.3K]

Answer:

Friction does not oppose motion, it oppose relative motion.

Explanation:

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4 0
2 years ago
Read 2 more answers
A kangaroo has a maximum gravitational potential energy during one jump of 770 J
KengaRu [80]

Answer:

k = 44000 N/m

Explanation:

Given the following data;

Maximum gravitational potential energy = 770 J

Elastic potential energy = 14% of 770 J = 14/100 * 770 = 107.8 J

Extension, x = 42 - 35 = 7cm to meters = 7/100 = 0.07 m

To find the spring constant, k;

The elastic potential energy of an object is given by the formula;

E.P.E = \frac {1}{2}kx^{2}

Substituting into the equation, we have;

107.8 = \frac {1}{2}*k*0.07^{2}

107.8 = \frac {1}{2}*k*0.0049

Cross-multiplying, we have;

215.6 = k*0.0049

k = \frac {215.6}{0.0049}

k = 44000 N/m

5 0
3 years ago
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