Answer:
A) 12.6 m/s2
B) -0.961 m
C) 0.961 m
D) 0.31 m/s
Explanation:
We can derive the acceleration function in term of t by taking 1st derivative of v(t)
The position function in term of t would be the integration of v(t)
Since s = 0 when t = 0 we can conclude that by plugging in t = 0 and s = 0
Part A: a(t = 3.1) = 6 - 6*3.1 = -12.6 m/s2. So the particle's deceleration is 12.6 m/s2 when t = 3.1
Part B:
Part C: As s(0) = 0 and s(3.1) = -0.961. The particle has traveled a distance of |-0.961 - 0| = 0.961m
Part D: So the particle has traveled a distance of 0.961m within time of 3.1s. That means the average speed is overall distance divided by overall time
= 0.961 / 3.1 = 0.31m/s
Answer:
1.7×10^5 ms-1
Explanation:
From
qE= qvB
q= charge on the electron
E = electric field
v= velocity
B= magnetic field
E= vB
v= E/B= 110×10^3/0.6
v= 1.7×10^5 ms-1
D-Volatge / gravity and current aren’t units and amperes is the loop of electrical current
Without the the water on earth, nothing would be alive, no cavemen, no dinosaurs. Water is one of the most important component on earth so people can live. Water is everywhere. It goes through river, mountains, lakes, oceans even if your house. Without water human kind and any other would not be alive.
Answer:
56 J
Explanation:
The following data were obtained from the question:
Energy 1 (E₁) = 7 J
Extention 1 (e₁) = 1.8 cm
Extention 2 (e₂) = 1.8 + 3.6 = 5.4 cm
Energy 2 (E₂) =?
Energy stored in a spring is given by the following equation:
E = ke²
Where E is the energy.
K is the spring constant.
e is the extension.
E = ke²
Divide both side by e²
K = E/e²
Thus,
E₁/e₁² = E₂/e₂²
7/ 1.8² = E₂/ 5.4²
7 / 3.24 = E₂/ 29.16
Cross multiply
3.24 × E₂ = 7 × 29.16
3.24 × E₂ = 204.12
Divide both side by 3.24
E₂ = 204.12 / 3.24
E₂ = 63 J
Thus, the additional energy required can be obtained as follow:
Energy 1 (E₁) = 7 J
Energy 2 (E₂) = 63 J
Additional energy = 63 – 7
Additional energy = 56 J