(2.437×10⁴)(6.5411 x 10^9)/(5.37x10^6). write in scientific notation

A 1400 kg car at rest at a stop sign is rear ended by a 1860 kg truck traveling at a speed of 19.1 m/s. After the collision, the

Anna71 [15]

Answer:

Explanation:

Applying conservation of momentum law to system of car and truck

their common velocity = their total momentum before collision / total mass

= (0 + 1860 x 19.1 ) / (1400 + 1860)

= 10.8975 m/s

Velocity of car with respect to ground before the collision u₁ = 0

velocity of the car in the frame of Alice u₁ = 0 - 6.11 = - 6.11 m /s

similarly velocity of truck in the frame of Alice = 19.1 - 6.11 = 12.99 m /s

total momentum of system of car and truck in alice's frame

= m₁ u₁ + m₂u₂ , m₁ , m₂ are masses of car and truck and u₁ , u₂ are their velocities in Alice's frame

= 1400 x - 6.11 + 1860 x 12.99

= - 8554 + 24161.4

= 15607.4 kg m/s

velocity of car and truck after collision in Alice's frame

= 10.8975 - 6.11

= 4.7875

total momentum after collision in Alice's frame

= 4.7875 x ( 1400 + 1860 )

= 15607.25

Total momentum before collision in Alice's frame

= Total momentum in Alice's frame after collision

So law of conservation of momentum is obeyed in Alice's frame also.

8 0

4 years ago

Which of the following statements about matter is true? Mass and matter are always the same. Matter is made up of atoms and has

Zepler [3.9K]

The correct answer is Matter is made up of atoms and has mass.

7 0

3 years ago

An electron having 500ev energy enters at right angle to a uniform magnetic field of 10^-4 Tesla. If its specific charge is 1.75

gtnhenbr [62]

Answer:

The correct answer might be $r = 2.8^{27}$ meters.

Explanation:

<u>The Answer Given might not be correct, I just did what my brain said.</u>

As the angle is perpendicular so Θ=90.

Putting this in the equation to calculate the magnetic force as:

F = evBsinΘ

F= evBsin90 *sin90 = 1 so,

F= evB.

Now when the electron will start to move in a circle, The necessary force that makes the electron rotate in a circle is given by Centripetal force.

So,

Magneteic Force = Centripetal Force

evB = $\frac{mv^{2} }{r}$

r = $\frac{mv}{Be}$ ......(1)

Now the problem is, We don't know " v " so we need to calculate velocity first,

Calculation of Velocity:

In order to calculate the velocity of electron, We should know the potiential difference with which the electrons are accelerated which in our case is 500ev. If "V" is the potiential difference, the energy gained by electrons during accelreation will be Ve. This appear as kinectic enrgy of electrons as,

K.E = Ve

$\frac{1}{2}$ m $v^{2}$ = Ve

v = $\sqrt{\frac{2ve}{m} }$ ................(2)

Putting value of velocity in equation 2 from 1:

r = $\frac{mv}{Be}$ $\sqrt{\frac{2ve}{m} }$

$r = \sqrt{\frac{2mev}{Be}}$

$r = \sqrt{\frac{(2)(9.1^{-31})(500) (1.6^{-19} ) }{ (1.75^{11} ) (10^{-4} ) } }$

$r = 2.8^{27}$ meters.

8 0

3 years ago

A hammer is used to hit a nail into a board. Which statement is correct about the forces at play between the nail and the hammer

Montano1993 [528]

Answer:

reviewing the final statements, the correct one is the quarter

The nail exerts an equal force on the hammer in the opposite direction.

Explanation:

This is an action-reaction problem or Newton's third law, which states that forces in naturals occur in pairs.

This is the foregoing, the hammer exerts a force on the nail of magnitude F and it will direct downwards, if we call this action and the nail exerts a force on the hammer of equal magnitude but opposite direction bone directed upwards, each force is applied in one of the bodies.

The difference in result that each force is that the force between the nail exerts a very high pressure (relation between the force between the nail area), instead the area of the hammer is much greater, therefore the pressure is small.

When reviewing the final statements, the correct one is the quarter

The nail exerts an equal force on the hammer in the opposite direction.

6 0

3 years ago

Which of these chemical equations demonstrates the law of conservation of mass as it applies to the combustion of ethane? A. 2 C

WINSTONCH [101]

A. 2 C₂ H₆ + 7 O₂ → 4 C O₂ + 6 H₂ O

according to law of conservation of mass , the total mass of reactants side must be same as the total mass of product side. so we need to check if each atom in the equation has same number on both side of the equation or not.

in this equation , we have

4 atoms of carbon left and 4 atoms of carbon on right

12 atoms of hydrogen on left and 12 atoms of hydrogen on right

14 atoms of oxygen on left and 14 atoms of oxygen on right

3 0

4 years ago

(2.437×10⁴)(6.5411 x 10^9)/(5.37x10^6). write in scientific notation​

(2.437×10⁴)(6.5411 x 10^9)/(5.37x10^6). write in scientific notation