Your answer would be 0.20 Hz
Answer: 16.09m/s
Explanation:
Given the acceleration a(t) = 10/(t+1), to derive the velocity function, we need integrate the acceleration function.
v(t) = integral{10/t+1}dt
Since all constants always come out of the integral, the equation becomes;
v(t) = 10integral{1/t+1}dt
One of the integral law is that if the numerator of the function to be integrated is the differential of the denominator, the resulting answer will be natural logarithm of the denominator i.e ln(t+1) since the denominator is ln(t+1) and if differentiated will give us 1 which is the numerator hence, the reason for the answer ln(t+1)
v(t) = 10ln(t+1)
@ t= 4, the velocity of the particle
v(4) = 10ln(4+1)
v(4) = 10ln5
v(4) = 16.09m/s²
Therefore, the velocity of the particle at time t=4 is 16.09m/s
Answer:
Explanation:
As the truck is moving towards right and there is no friction between the truck and dog, it experiences a psheudo force, so the dog moves towards left.
Option (D)
Answer:
α = 1.875 rad/s²
t = 8 s
Explanation:
α = ω²/2θ = 15²/(2(60)) = 1.875 rad/s²
t = ω/a = 15 / 1.875 = 8 s
Answer:
The mass of snow that the backpacker collected is: <em>D) 855g</em>
Explanation:
To boiling the water, the cooking pot requires 643kJ. This heat is due to the heat to melt the water and the heat to bring the water to boiling point.
The heat to melt the water is:
q = ΔHfusion×
×mass
And heat to bring water to boiling point is:
q = C×mass×ΔT
Where C is specific capacity of liquid water and ΔT is change in temperature (100°C, from melting point to boling point)
As the required energy required is 643000J:
643000J = ΔHfusion××mass + C×mass×ΔT
643000J = 6020J/mol××mass + 4,18J/g°C×mass×100°C
643000J = 334J/g×mass + 418J/g×mass
643000J = 752J/g×mass
855g = mass
<em>The mass of snow that the backpacker collected is 855g</em>
I hope it helps!
