How much power is used in a machine that produces 15 Joules of work in 3 seconds? Use the formula P = W/t.

The potential energy of a 1.7 x 10-3 kg particle is described by U (x )space equals space minus (17 space J )space cos open squa

hichkok12 [17]

Answer:

Explanation:

Given a particle of mass

M = 1.7 × 10^-3 kg

Given a potential as a function of x

U(x) = -17 J Cos[x/0.35 m]

U(x) = -17 Cos(x/0.35)

Angular frequency at x = 0

Let find the force at x = 0

F = dU/dx

F = -17 × -Sin(x/0.35) / 0.35

F = 48.57 Sin(x/0.35)

At x = 0

Sin(0) =0

Then,

F = 0 N

So, from hooke's law

F = -kx

Then,

0 = -kx

This shows that k = 0

Then, angular frequency can be calculated using

ω = √(k/m)

So, since k = 0 at x = 0

Then,

ω = √0/m

ω = √0

ω = 0 rad/s

So, the angular frequency is 0 rad/s

4 0

3 years ago

The vertical force f acts downward at A on the two membered frames. Determine the magnitude of the two components of F directed

galben [10]

Answer:

The magnitude will be "353.5 N". A further solution is given below.

Explanation:

The given values is:

F = 500 N

According to the question,

In ΔABC,

⇒ $\angle BCA = (90-30)$

⇒ $=60^{\circ}$

then,

⇒ $\angle BAC=(180-45-60)$

⇒ $=75^{\circ}$

Now,

The corresponding angle will be:

⇒ $\angle FAC=60^{\circ}$

⇒ $\angle FAB=70+60$

⇒ $=135^{\circ}$

Aspect of F across the AC arm will be:

= $F\times cos(60)$

On putting the values of F, we get

= $500\times (.5)$

= $200 \ Newton$

Component F along the AC (in magnitude) will be:

= $F\times cos(135)$

= $500\times (-.707)$

= $-353.5 \ N \$

4 0

2 years ago

Which of the following are evidence for the big bang theory

irina1246 [14]

Answer:

Big Bang theory has occurred because about two thousand million years ago, a star came close to the sun. The molten mass on it melted and formed a huge mountain. Due to the high pressure, the star repelled back and the mountain separated into pieces. These pieces started revolving aound the sun and are known as planets. The existence of these planets is known as big bang theory.

Explanation:

4 0

2 years ago

The findings of Henri Becquerel and the Curies helped to discredit what notion held for a very long time? That matter can never

fiasKO [112]

That matter s indivisible and indestructible. This is because they discovered that certain elements, thought to be indivisible, can breakdown by radioactive decay and emit smaller, high energy particles and/or photons.

8 0

3 years ago

Read 2 more answers

the record for a ski jump is 180 m set in 1989. Assume the jumper comes off the end of the ski jump horizontally and falls 90 m

Mashutka [201]

Let's write the equations of motion on both x- (horizontal) and y- (vertical) axis. On the x-axis, it's a uniform motion with constant velocity vx. On the y-axis, it is a uniformly accelerated motion with initial height h=90 m and acceleration of $g=9.81 m/s^2$ pointing down (so with a negative sign):
$S_x(t)=v_x t$
$S_y(t)=h- \frac{1}{2} gt^2$

First, let's find the time at which the jumper reaches the ground. This happens when Sy(t)=0:
$0=h- \frac{1}{2} g t^2$
and so
$t= \sqrt{ \frac{2h}{g} }= \sqrt{ \frac{2\cdot 90m}{9.81 m/s^2} }=4.28 s$

Then, we can find the horizontal speed. In fact, we know that at the time t=4.28 s, when the jumper reached the ground, he covered exactly 180 m, so Sx=180 m. Using this into the law of motion in x, we find
$v_x= \frac{S_x}{t} = \frac{180 m}{4.28 s} =42 m/s$

8 0

2 years ago