What is the acceleration of a ball traveling horizontally with an initial velocity of 20 meters/second and, 2.0 seconds later, a velocity of 30 meters/second?

Answers

Answer 1
Answer: v o = 20 m / s ( initial velocity )
t = 2.0 s
v = 30 m / s
a - acceleration:
v = v o + a t
a t = v - v 0
a = ( v - v o ) / t
a = ( 30 m/s - 20 m/s ) / 2 s = 10 m / s : 2 s = 5 m/s² 

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Scientific notation 47,000
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An unbalanced force of 40. newtons keeps a5.0-kilogram object traveling in a circle of radius 2.0 meters. What is the speed of the object? (1) 8.0 m/s (3) 16 m/s (2) 2.0 m/s (4) 4.0 m/s

A photon with a wavelength of 2.29 × 10^–7 meter strikes a mercury atom in the ground state.Calculate the energy, in joules, of this photon. [Show all work, including the equation and
substitution with units.]

Answers

Answer:

Energy of photon, E=8.64* 10^(-19)\ J

Explanation:

It is given that,

Wavelength of photon, \lambda=2.29* 10^(-7)\ m

It strikes a mercury atom in the ground state. We have to find the energy of this photon. It can be calculated using below relation as :

E=(hc)/(\lambda)

Where

h is the Planck's  constant

c is the speed of light

So, E=(6.6* 10^(-34)\ J-s* 3* 10^8\ m/s)/(2.29* 10^(-7)\ m)

E=8.64* 10^(-19)\ J

Hence, the above value is the energy of this photon.

detailed solution is attached

A 1600N force is applied to a 85kg mass what is the acceleration of the mass?

Answers

newton 3rd law:
F=ma
1600=85*a
1600/85=a
a=18.82 m/s^2

Choose the false statement regarding resistance. A) Longer wires have less resistance. B) Electrical resistance produces heat. C) Resistance slows the flow of current. D) The larger the diameter of the wire, the less resistance.

Answers

The answer would be:

A. Longer wires have less resistance.

Here is why:

The statement is false because longer wires tend to have greater resistance. Look at the formula of resistance below:

R=(\rho L)/(A)

ρ = resistivity

L = length

A = cross-sectional area

As you can see Length of the wire is directly proportional to the resistance, which means as the Length increases, the Resistance increases.

Answer:

A. Longer wires have less resistance.

Explanation:

A metal object is suspended from a spring scale. The scale reads 930 N when the object is suspended in air, and 731 N when the object is completely submerged in water. Find the volume of the object. The acceleration of gravity is 9.8 m/s 2 . Answer in units of m3 .

Answers

Answer:

The volume of the object = 0.0203 m³

Explanation:

From Archimedes principle,

Upthrust = lost in weight = amount of water displaced.

U = W₁ - W₂

Where U = upthrust, W₁ = Weight in air, W₂ = weight in water.

U = 930- 731

U = 199 N.

but mass of water displaced,

m = U/g where g = 9.8 m/s²

m = 199/9.8

m = 20.31 kg.

Recall,

Density = mass/volume.

Density of water = mass of water displaced/ volume of water displaced

D = m/V

V = m/D......................................... Equation 1

Where V = volume of water displaced, m = 20.31 kg, D = 1000 kg/m³

Substitute into equation 1

V = 20.31/1000

V = 0.0203 m³

the volume of water displaced = 0.0203 m³

Note: That when an object is immersed in water, the volume of water it displaced is equal to it's volume.

Hence, Volume of water displaced = volume of the object.

Hence the volume of the object = 0.0203 m³

A thin rod rotates at a constant angular speed. Consider the tangential speed of each point on the rod for the case when the axis of rotation is perpendicular to the rod at its center and at one end. Explain for each case whether there are any points on the rod that have the same tangential speeds.

Answers

Answer:

    v = R w    

With this expression we see that for each point at different radius the tangential velocity is different

Explanation:

They indicate that the angular velocity is constant, that is

            w = dθ / dt

Where θ is the radius swept angle and t the time taken.

The tangential velocity is linear or

           v = dx / dt

Where x is the distance traveled in time (t)

 

In the definition of radians

          θ = s / R

Where s is the arc traveled and R the radius vector from the pivot point, if the angle is small the arc (s) and the length (x) are almost equal

         θ = x / R

We substitute in the speed equation

         v = d (θ R) / dt

The radius is a constant for each point

         v = R dθ / dt

         v = R w

With this expression we see that for each point at different radius the tangential velocity is different

Which
factors will increase the speed of a sound wave in the air?

Answers

A higher temperature, stiffer materials, and less dense materials increase the speed of sound.

Answer:

Temperature

Explanation: