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kondaur [170]
3 years ago
12

A sailboat is moving across the water at 3.0 m/s. A gust of wind fills its sails and it accelerates at a constant 2.0 m/s2. At t

he same instant, a motorboat at rest starts its engines and accelerates at 4.0 m/s2. After 3.0 seconds have elapsed, find the velocity of the sailboat.
Physics
1 answer:
Flauer [41]3 years ago
5 0

Answer:

v = 9 m/s

Explanation:

It is given that,

Initial speed of the sailboat, u = 3 m/s

Acceleration of the sailboat, a=2\ m/s^2

Initial speed of the motorboat, u = 0

Acceleration of the motorboat, a=4\ m/s^2

Time elapsed, t = 3 s

To find,

The velocity of the sailboat

Solve,

Let v is the velocity of the sailboat after 3 seconds. By using the equation of kinematics, it can be calculated.

v=u+at

v=3\ m/s+2\ m/s^2\times 3\ s

v = 9 m/s

Therefore, the velocity of the sailboat is 9 m/s.

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A 62 kg box is lifted 12 meters off the ground. How much work was done?
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I’m not sure how to solve this
spayn [35]

Answer:

Option 10. 169.118 J/KgºC

Explanation:

From the question given above, the following data were obtained:

Change in temperature (ΔT) = 20 °C

Heat (Q) absorbed = 1.61 KJ

Mass of metal bar = 476 g

Specific heat capacity (C) of metal bar =?

Next, we shall convert 1.61 KJ to joule (J). This can be obtained as follow:

1 kJ = 1000 J

Therefore,

1.61 KJ = 1.61 KJ × 1000 J / 1 kJ

1.61 KJ = 1610 J

Next, we shall convert 476 g to Kg. This can be obtained as follow:

1000 g = 1 Kg

Therefore,

476 g = 476 g × 1 Kg / 1000 g

476 g = 0.476 Kg

Finally, we shall determine the specific heat capacity of the metal bar. This can be obtained as follow:

Change in temperature (ΔT) = 20 °C

Heat (Q) absorbed = 1610 J

Mass of metal bar = 0.476 Kg

Specific heat capacity (C) of metal bar =?

Q = MCΔT

1610 = 0.476 × C × 20

1610 = 9.52 × C

Divide both side by 9.52

C = 1610 / 9.52

C = 169.118 J/KgºC

Thus, the specific heat capacity of the metal bar is 169.118 J/KgºC

6 0
3 years ago
A string that passes over a pulley has a 0.341 kg mass attached to one end and a 0.625 kg mass attached to the other end. The pu
dalvyx [7]

Answer:

The frictional torque is \tau  = 0.2505 \ N \cdot m

Explanation:

From the question we are told that

   The mass attached to one end the string is m_1 =  0.341 \ kg

   The mass attached to the other end of the string is  m_2 =  0.625 \ kg

    The radius of the disk is  r = 9.00 \ cm  = 0.09 \ m

At equilibrium the tension on the string due to the first mass is mathematically represented as

      T_1 =  m_1 *  g

substituting values

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      T_1 =  3.342 \ N

At equilibrium the tension on the string due to the  mass is mathematically represented as

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     T_2 = 0.625 * 9.8

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The  frictional torque that must be exerted is mathematically represented as

      \tau  =  (T_2 * r ) - (T_1 * r )

substituting values  

     \tau  =  ( 6.125 * 0.09 ) - (3.342  * 0.09 )

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3 years ago
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The formula to find the kinetic energy is:

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3.Ek= 1/2×12×5^2
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4.Ek= 1/2×10×6^2
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So the fourth dog has the most kinetic energy.
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