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aleksklad [387]
3 years ago
13

A 2000 kg boat drifts along the waves at a velocity of 3 m/s. What is the kinetic energy of the boat?

Physics
1 answer:
galina1969 [7]3 years ago
6 0

Answer:

25 kJ

Explanation:

Ke = mv²/2

= 2000·25/2

= 1000·25

= 25000 J

= 25 kJ

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A 6 kg box with initial speed 5 m/s slides across the floor and comes to a stop after 1.9 s. What is the coefficient of kinetic
Ilia_Sergeevich [38]

Answer:

\mu_k=0.27

Explanation:

According to the free body diagram, in this case, we have:

\sum F_x:-F_k=ma\\\sum F_y:N=mg

Recall that the force of friction is given by:

F_k=\mu_k N

Replacing and solving for the coefficient of kinetic friction:

-\mu_kN=ma\\-\mu_k(mg)=ma\\\mu_k=-\frac{a}{g}

We have an uniformly accelerated motion. Thus, the acceleration is defined as:

a=\frac{v_f-v_0}{t}\\a=\frac{0-5\frac{m}{s}}{1.9s}\\a=-2.63\frac{m}{s^2}

Finally, we calculate \mu_k:

\mu_k=-\frac{-2.63\frac{m}{s^2}}{9.8\frac{m}{s^2}}\\\mu_k=0.27

4 0
3 years ago
The first and second coils have the same length, and the third and fourth coils have the same length. They differ only in the cr
tatyana61 [14]

Answer:

The ratio of the resistances of second coil to the first coil is the ratio of square of radius of the first coil to the square of radius of  second coil.

And

The ratio of the resistances of fourth coil to the third coil is the ratio of square of radius of the third coil to the square of radius of  fourth coil.

Explanation:

The resistance of the coil is directly proportional to the length of the coil and inversely proportional to the area of coil and hence inversely proportional to the square of radius of the coil.

So, the ratio of the resistances of second coil to the first coil is the ratio of square of radius of the first coil to the square of radius of  second coil.

And

The ratio of the resistances of fourth coil to the third coil is the ratio of square of radius of the third coil to the square of radius of  fourth coil.

8 0
3 years ago
Calculate the force of gravity on the same 1 kg mass if it were 6.4x10^6 m above earth's surface
vova2212 [387]
The force of gravity on a certain object is calculated through the equation,
 
   F = Gm1m2 / r²

where F is the force, G is a constant, m1 and m2 are masses of the object and Earth, respectively and r is the distance. Substituting the known values for this item,

   F = (6.67 x 10⁻¹¹ N.m²/kg²)(1 kg)(5.98 x 10²⁴ kg)/ (6.4 x 10⁶ m)²

         F = 9.37 N

Answer: 9.37 N
3 0
3 years ago
Please help thank you
Margarita [4]

Answer:

\theta \approx 59.036^{\circ}, T_{2} \approx 23.324\,N

Explanation:

First we build the Free Body Diagram (please see first image for further details) associated with the mass, we notice that system consist of a three forces that form a right triangle (please see second image for further details): (i) The weight of the mass, (ii) two tensions.

The requested tension and angle can be found by the following trigonometrical and geometrical expressions:

\theta = \tan^{-1} \frac{W}{T_{2}} (1)

T_{1} = \sqrt{W^{2}+T_{2}^{2}} (2)

Where:

W - Weight of the mass, measured in newtons.

T_{1}, T_{2} - Tensions from the mass, measured in newtons.

If we know that W = 20\,N and T_{2} = 12\,N, then the requested values are, respectively:

\theta = \tan^{-1} \frac{20\,N}{12\,N}

\theta \approx 59.036^{\circ}

T_{2} = \sqrt{(20\,N)^{2}+(12\,N)^{2}}

T_{2} \approx 23.324\,N

7 0
3 years ago
How does bimettalic strip work?
mafiozo [28]
A traditional thermostat has two pieces of different metals bolted together to form what's called a bimetallic strip (or bimetal strip). The strip works as a bridge in an electrical circuit connected to your heating system. ... Eventually, it bends so much that it breaks open the circuit.
6 0
4 years ago
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