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Delicious77 [7]
3 years ago
11

Tom drops a coin from the top of a building. Tom is 90 meters from the ground when he drops the coin. A) What is the height of t

he coin exactly 3 seconds after he releases the coin? B) When the coin hits the ground, how much time has passed from when it was dropped until impact with the ground?
Mathematics
1 answer:
Delvig [45]3 years ago
3 0
Disregarding air friction, the distance traveled by an object due to gravity is : H = 0.5*g*t^2.   g is the gravitational constant at the surface of earth.  

g= 9.81 m/s^2  

After 3 seconds, Distance = .5*9.81*9 = 44.15 meters traveled.   

Since it was dropped from a height of 90 meters, the current height is 90 - 44.15 = (a) 45.85 meters  

(b) It has to travel 90 meters to hit the ground . So we must find t  

Using the same equation  

t = (2*H/g)^.5 

 t = (2*90/g)^.5 = 4.28 seconds until it hits the ground
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4 0
3 years ago
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Suppose that 1 kg of Sodium-24 is reduced to 0.0156 kg in 90 hours. What is the half-life, in hours, of Sodium-24?​
N76 [4]

Answer:

14.99 hours

Step-by-step explanation:

The formula for half-life is given as,

R/R' = 2ᵃ/ᵇ...................... Equation 1

Where R= Original mass of sodium-24, R' = mass of Sodium-24 after disintegration, a = Total time taken for sodium-24 to disintegrate, b = half-life of sodiun-24.

Given: R = 1 kg, R' = 0.0156 kg, a = 90 hours

Substitute into equation 1 and solve for b

1/(0.0156) = 2⁹⁰/ᵇ

Taking the log of both side

log[1/(0.0156)] = log(2⁹⁰/ᵇ)

log[1/(0.0156)] = 90/b(log2)

90/b = log[1/(0.0156)]/log2

90/b = 6.0023

b = 90/6.0023

b =  14.99 hours

b = 14.99 hours.

Hence the half-life of Sodium-24 is 14.99 hours

7 0
3 years ago
Select all the expressions equivalent to: (4^5)⋅4^3 Group of answer choice 2^14 4^12 2^16 16^8 4^8 16^4
kumpel [21]

Answer:

Choices given as 2^{16}, 4^8 and 16^4 are correct.

Step-by-step explanation:

Given expression is,

(4^5)(4^3)

By applying law of exponents in the given expression,

(4^5)(4^3)=4^{5+3}

            =4^8

(4^5)(4^3)=(2^2)^5(2^2)^3

            =(2^{2\times 5})(2^{2\times 3})

            =2^{10}\times 2^6  

            =2^{16}

            =(2^4)^4

            =(16)^4

Therefore, choices given as 2^{16}, 4^8 and 16^4 are correct.

4 0
3 years ago
IS IT JUST ME OR FOR RSM I CANT COPY AND PASTE ANYMORE HELLPPP I NEED TO KNOWWWW
Karo-lina-s [1.5K]

Answer:

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Step-by-step explanation:

6 0
2 years ago
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