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just olya [345]

2 years ago

5

Calculate the distance the gecko covers when sprinting from rest to 2 m/s in a time of 1.5 s.

1 answer:

KIM [24]2 years ago

8 0

Answer:

1.5 m

Explanation:

a = v/t

a = 2/1,5 = 4/3

x = 1/2 a t² + vt + x

x = 1/2 × 4/3 × 9/4 = 3/2 =1.5 m

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You stand on a frictional platform that is rotating at 1.8 rev/s. Your arms are outstretched, and you hold a heavy weight in eac

dusya [7]

Answer:

20.62361 rad/s

489.81804 J

Explanation:

$I_i$ = Initial moment of inertia = 9.3 kgm²

$I_f$ = Final moment of inertia = 5.1 kgm²

$\omega_i$ = Initial angular speed = 1.8 rev/s

$\omega_f$ = Final angular speed

As the angular momentum of the system is conserved

$I_i\omega_i=I_f\omega_f\\\Rightarrow \omega_f=\dfrac{I_i\omega_i}{I_f}\\\Rightarrow \omega_f=\dfrac{9.3\times 1.8}{5.1}\\\Rightarrow \omega_f=3.28235\ rev/s=3.28235\times 2\pi=20.62361\ rad/s$

The resulting angular speed of the platform is 20.62361 rad/s

Change in kinetic energy is given by

$\Delta K=\dfrac{1}{2}(I_f\omega_f^2-I_i\omega_i^2)\\\Rightarrow \Delta K=\dfrac{1}{2}(5.1\times (20.62361)^2-9.3\times (1.8\times 2\pi)^2)\\\Rightarrow \Delta K=489.81804\ J$

The change in kinetic energy of the system is 489.81804 J

As the work was done to move the weight in there was an increase in kinetic energy

6 0

2 years ago

You have a source of energy containing 21 gj of energy at 600k how much this energy can be converted to work when rejecting heat

sweet [91]

Answer:

Available energy = 35 x 10⁶ J

Explanation:

Given:

Amount of energy (Q) = 21 gj = 21 x 10⁹ J

Temperature T1 = 600 k

Temperature T0 = 27 + 273 = 300k

Find:

Available energy

Computation:

Available energy = Q[1/T0 - 1/T1]

Available energy = 21 x 10⁹ J[1/300 - 1/600]

Available energy = 35 x 10⁶ J

4 0

2 years ago

A 300-W blender did 10,500J of work. how long was the blender running?

forsale [732]

Answer:

The blender was running for 35 seconds.

Explanation:

Given:

Power of the blender is, $P=300\ W$

Work done by the blender is, $W=10500\ J$

We know that, power is defined as the rate at which work is done by the body.

Here, we are given the power and work done and we are asked to find time taken.

Let the time of running of the blender be 't' seconds.

So, the power of the blender is given as:

$P=\frac{W}{t}$

Rewriting the above in terms of 't', we have

$t=\frac{W}{P}$

Plug in the given values and solve for 't'. This gives,

$t=\frac{10500}{300}\\t=35\ s$

Therefore, the blender was running for 35 seconds.

6 0

3 years ago

An electron is released from rest in a uniform electric field. The electron accelerates vertically upward, traveling 4.50 m in t

Softa [21]

Answer:

Explanation:

A. Using

E= ma/q

E=m/q(2s/t²)

So

E= 9.1x10^-31/1.6*10^-19( 2*4.5/ 3*10-12)

E=5.7NC

The electric field has to be downward since the force is positive that is upward

B.

The electron acceleration is of the order of 10^11 times greater so for practical purposes we neglect the effect of gravity

5 0

3 years ago

Surface water is replaced by the blank cycle.

miskamm [114]

Answer: Surface water is replaced by the <u>water</u> cycle.

Explanation: The water cycle is a cycle that describes the movement of water.

8 0

2 years ago

Read 2 more answers