Which level of the energy pyramid contains the most energy

A sperm whale can accelerate at about 0.0800 m/s 2 0.0800 m/s 2 when swimming on the surface of the ocean. How far will a sperm

Norma-Jean [14]

Answer:

26.64 m

Explanation:

Given the following :

Acceleration at ocean surface = 0.0800 m/s²

Distance covered if initial speed = 0.700 m/s and accelerates to a speed of 2.18m/s

Using the equation :

v² = u² + 2as

Where ;

v = final velocity ; u = initial velocity ; a = acceleration ; s = distance covered

Therefore,

v² = u² + 2as

2.18² = 0.7² + (2 × 0.08 × s)

4.7524 = 0.49 + 0.16s

4.7524 - 0.49 = 0.16s

4.2624 = 0.16s

s = 4.2624 / 0.16

s = 26.64 m

7 0

3 years ago

Use the impulse-momentum theorem to find how long a stone falling straight down takes to increase its speed from 5.6 m/s to 10.6

Nezavi [6.7K]

As stated, the impulse and momentum definitions will be used to later find the value of time through the force of gravity. According to the theory, the impulse formula is given as,

$I = F\Delta t$

Here,

F = Force

$\Delta t =$ Change in time

Now using the impulse theorem we have that,

Change in Impulse = Change in momentum

$F\Delta t = \Delta p$ (1)

The change in momentum is given as

$\Delta p = p_f -p_i$

$\Delta p = (-10.6)-(-5.6)$

$\Delta p = -5m/s$

The force due to gravity is through the Newton's second law

$F_g = -mg$

Here,

m = mass

g = Acceleration due to gravity

Substitute the value in (1)

$-mgt = -5m/s$

$9.8t = 4.9$

$t = \frac{5}{9.8}$

$t = 0.51s$

Therefore it will take 0.51s.

7 0

3 years ago

A terrorist throws a grenade with a 6.00 second fuse off a building 150.0 m high at a speed of 10.0 m/s. If the angle at which t

igomit [66]

Here we have a projectile motion. It is type of motion that is made of a vertical shot and a horizontal shot. This is how we will solve it.

Firste step is to find horizontal and vertical component of a speed.
$v_{0x} =v_{0} * cos \alpha$ \\ v_{0y} = v_{0} * sin \alpha [/tex]

We are given this information:
$v_{0} = 10 m/s \\ h=150m \\ \alpha =-30°$
Angle is negative because it is below the horizontal.

VERTICAL SHOT
Time needed for a grenade to fall to the bottom of a building is given by a formula:
$t= \frac{ v_{0y} }{g} \\ t= \frac{v_{0} * sin \alpha}{g} \\ t= \frac{-10*sin(-30)}{9.81} \\ t=0.51s$
We used negative value for a speed because it is considered that upwards shot has positive value and downwards shot has negative value.

The grenade will not explode before it hits the ground.

HORIZONTAL SHOT
<span>The horizontal distance from the building at which the grenade will land is called range. The formula for a range is given by:
</span> $R= v_{0x} * \sqrt{ \frac{2h}{g} } \\ R=v_{0} * cos \alpha* \sqrt{ \frac{2h}{g} } \\ R=10*cos(-30)* \sqrt{ \frac{2*150}{9.81} } \\ R=47.89m$

The grenade will hit the ground at distance of 47.89m.

7 0

3 years ago

What is work?

WITCHER [35]

It’s applying force to move an object

5 0

3 years ago

Ruby was training for a race at the high school track. She took her dog walked 2250 meters in 15 minutes. Calculate the average

Sedbober [7]

Answer:

Average speed $= 2.5$ meter per second