Water drips from a faucet at the rate of 150 drops in 120 seconds. What is the period?

A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts down the slope, its speed is 4m/s. But 3 seco

slamgirl [31]

Answer:

6 m/s^2

Explanation:

The average acceleration of the car is given by:

$a=\frac{v-u}{t}$

where

v is the final speed

u is the initial speed

t is the time elapsed

For the car in this problem,

v = 22 m/s

u = 4 m/s

t = 3 s

Therefore, the acceleration of the car is

$a=\frac{22 m/s-4 m/s}{3 s}=6 m/s^2$

7 0

3 years ago

Three objects are dropped from the top of a building. The first is thrown straight down with a velocity v, the second is thrown

murzikaleks [220]

Answer:

Second ball

Explanation:

When a ball is thrown up with a certain velocity when the object reaches the same point from where it was thrown the velocity of the object becomes equal to the velocity with which the ball was thrown.

First ball

$v_g_1^2-u^2=2as\\\Rightarrow v_g_1=\sqrt{2as+u^2}\\\Rightarrow v_g_1=\sqrt{2as+v^2}$

Second ball

$v_g_2^2-u^2=2as\\\Rightarrow v_g_2=\sqrt{2as+u^2}\\\Rightarrow v_g_2=\sqrt{2as+4v^2}$

Third ball

$v_g_3^2-u^2=2as\\\Rightarrow v_g_3=\sqrt{2as+0^2}\\\Rightarrow v_g_3=\sqrt{2as}$

From the equations above it can be seen that the second ball will have the highest velocity when it hits the ground.

So, $v_g_3$

5 0

3 years ago

Which is true of high resistance wires?

miss Akunina [59]

B.The shorter a wire is, the higher the resistance will be

4 0

4 years ago

3. En una carrera cuyo recorrido es recto, una moto circula durante 30 segundos hasta alcanzar una velocidad de 162.00km/h. Si l

AlekseyPX

Answer:

4s
50m/s (straight)

Explanation:

I will answer in English.

The translated question is:

3. In a race whose route is straight, a motorcycle circulates for 30 seconds until it reaches a speed of 162.00km / h. If the acceleration remains the same, how long will it take to travel the remaining 200 meters to pass the finish line and at what speed will it do so?

<h2>Solution</h2>

1. Time

First, you must calculate the acceleration, a, starting from rest (V₀ = 0), with a time fo 30 seconds, and final veloficty, V₁, of 162.00km/h.

Convert 162.00km/h to m/s:

162.00km/h × 1,000m/km × 3600s/h = 45m/s

a = (V₁ - V₀)/t = (45m/s - 0) / (30s) = 1.5m/s²

Now, you can calculate the time to travel 200 meters

The most direct equation is;

d = V₁·t + a × t² / 2

Where you know:

V₁ = 45m/s

a = 1.5m/s²

d = 200m

200 = 45t + 0.75t²

0.75t² + 45t - 200 = 0

Use the quadratic formula with a = 0.75, b = 45, and c = -200

$t=\dfrac{-45\pm\sqrt{45^2-4(0.75)(-200)}}{2(0.75)}$

Discard the negative value. The positive value is t = 4.1565s

Round to one significant figure: 4s ← answer

2. Velocity

The speed or magnitude of velocity may be calculated using the equation:

V₂ = V₁ + a × t

With:

V₁ = 45m/s

a = 1.5m/s²

t = 4.1565s

V₂ = 45m/s + 1.5m/s² × 4.1565s = 51m/s ≈ 50m/s, along the same straight line ← answer

5 0

3 years ago

The weight of the body varies from place to place but the inertia of the body remains the same. Why?

Kipish [7]

The weight changes from place to place as the weight is a vector quantity as well as a dependent quantity. Therefore, weight seems to be varying but the inertia is not.

Explanation: 

The weight as already known well, is not a universal constant, whereas the mass is. As the weight is a product of mass of the body and the gravitational acceleration working on it, it varies as the factor of acceleration involved makes it a vector quantity.

And thus be dependent upon the direction too. Inertia of the body is an independent factor, on the other hand, an inherent property and so does not change.

3 0

3 years ago