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3 years ago

A 1,500 kg car hits a boulder with a force of 500 N, and the collision takes 0.5

Physics

1 answer:

Anuta_ua [19.1K]3 years ago

7 0

Answer: C.

250 kg-m/s

Explanation:

Given that the

Mass M = 1,500 kg

Force F = 500 N

Time t = 0.5 seconds

From Newton's second law of motion which state that the rate of change of momentum is proportional to the applied force.

F = mV/t

Ft = mV

Where ft = impulse: the product of time and applied force

Substitutes force and time into the formula

Ft = 500 × 0.5 = 250 Ns

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The energy flow per unit time per unit area (S) of an electromagnetic wave has an average value of 440 mW/m2. The maximum value

mafiozo [28]

To solve this problem we will proceed to convert the Intensity Units given to a normal system, that is, to standardize their value. Later we will use the value of the electric field according to the RMS electric field, to find it.

Finally the magnetic field would be given based on the previously found electric field, depending on the speed of light:

The value of the intensity is:

$I = 440mW/m^2 = 0.440W/m^2$

The maximum value of the electric field is,

$E_{max} = \sqrt{2}E_{rms}$

$E_{max} = \sqrt{2}\sqrt{Ic\mu_0}$

Where,

I = Intensity,

$\mu$ = Permeability constant

c = Speed of light

Replacing,

$E_{max} = \sqrt{2}\sqrt{(0.440)(3*10^8)(4\pi*10^{-7})}$

$E_{max} = 18.2V/m$

The maximum value of the magnetic field is,

$B_{max} = \frac{E_{max}}{c}$

$B_{max} = \frac{18.2}{3*10^8}$

$B_{max} = 6.06*10^{-8}T$

Therefore the maximum magnetic field is $7.10*10^{-8}T$

7 0

3 years ago

A rocket, weighing 4.36 x 10^4 N, has an engine that provides an upward force of 8.90 x 10^5 N. It reaches a maximum speed of 86

Pavel [41]

The net force on the rocket is 846400 N.

Answer:

Explanation:

It is known that weight is the influence of gravitational force acting on any mass of the object. So in the present case, the weighing force given is equal to the gravitational force acting on the rocket. Thus, the gravitational force will be acting towards downward direction. But an upward force is required by the rocket for thrusting purpose and that force is given as upward force. So the net force acting on the rocket is the vector addition of all the forces acting on the rocket. As in this case, only upward and downward force is acting on the rocket. The vector addition will be equal to subtraction of downward acting gravitational force from upward force or force provided by engine.

Net force = Engine force - Gravitational force = 890000-43600=846400 N

So the net force acting on the rocket is 846400 N.

8 0

3 years ago

A turntable that spins at a constant 80.0 rpmrpm takes 3.50 ss to reach this angular speed after it is turned on. Find its angul

Veronika [31]

Answer:

The angular acceleration is <u>2.39 rad/s²</u>.

The number of degrees it rotates is <u>841.68 degrees</u>.

Explanation:

Given:

Initial angular speed (ω₀) = 0 rad/s

Final angular speed in rpm (N) = 80.0 rpm

Time taken (t) = 3.50 s

First, let us determine the final angular speed in radians per second.

We know that,

$\omega=\frac{2\pi N}{60}\ rad/s$

Plug in the values and find the final angular speed, 'ω'. This gives,

$\omega=\frac{2\pi\times 80.0}{60}=8.38\ rad/s$

Now, using equation of motion for rotational motion, we have:

$\omega=\omega_0+\alpha t\\\\\alpha\to angular\ acceleration$

Plug in the given values and solve for α. This gives,

$8.38=0+\alpha \times 3.50\\\\\alpha=\frac{8.38}{3.50}=2.39\ rad/s^2$

Therefore, the angular acceleration is 2.39 rad/s².

Now, again using rotational equation of motion relating angular displacement, we have:

$\omega^2=\omega_0^2+2\alpha\theta\\\\\theta=\frac{\omega^2-\omega_0^2}{2\alpha }$

Plug in the given values and solve for 'θ'. This gives,

$\theta=\frac{(8.38)^2-0}{2\times 2.39}\\\\\theta=\frac{70.2244}{4.78}=14.69\ rad$

Convert radians to degrees using the conversion factor. This gives,

π radians = 180°

So, 1 radian =( 180 ÷ π ) degrees

Therefore, $14.69\ rad=14.69\times (\frac{180}{\pi})=841.68^\circ$

So, the number of degrees it rotates is 841.68 degrees.

3 0

2 years ago

How tall is Mount Everest?

White raven [17]

Answer:

29,032′

Explanation:

3 0

2 years ago

Read 2 more answers

Francium-223 has a half-life of 22 minutes. A Geiger counter gives a reading of 58 counts per minute (cpm) from a sample of fran

polet [3.4K]

Answer:

29 counts per minute (29 cpm)

Explanation:

The half-life of a radioactive isotope is the time needed for the activity of the sample to halve.The half-life of Francium-223 is exactly 22 minutes: this means that its activity after 22 minutes becomes exactly half of its initial value. Since the initial activity of this sample of francium-223 was 58 cpm, the activity after 22 minutes will be

$A=\frac{58 cpm}{2}=29 cpm$

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3 years ago