Answer:
Explanation:
s = ut+ 0.5at²
u = 0
t = 6
a = 9.81
s = 0 + 0.5 * 9.81 * 36 = 176.58 m
v = u + at
v = 9.81* 36 = 353 m/s
Answer:
Explanation:
As B has a y component of -5, A must have a y component of 5 to have the result lie on the x axis.
As B has an x component of 3 and the result has an x component of -4, A must have an x component of -7
A = (-7, 5)
magnitude A = √(7² + 5²) = √74 ≈ 8.60
θ = arctan(y/x) = arctan(5/-7) ≈ 144.46° CCW from the positive x axis
Answer:
1. 2.67 s
2. 0.1 m/s²
Explanation:
1. Determination of the time taken for the penguin to fall.
Height (h) of cliff = 35 m
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) =?
h = ½gt²
35 = ½ × 9.8 × t²
35 = 4.9 × t²
Divide both side by 4.9
t² = 35 / 4.9
Take the square root of both side
t = √(35 / 4.9)
t = 2.67 s
Thus, it will take 2.67 s for the penguin to fall onto the head of a napping polar bear.
2. Determination of the acceleration of the penguin.
Initial velocity (u) = 0 m/s.
Final velocity (v) = 2 m/s.
Time (t) = 20 s
Acceleration (a) =?
a = (v – u)/t
a = (2 – 0)/ 20
a = 2 / 20
a = 0.1 m/s²
Thus, the acceleration of the penguin is 0.1 m/s²
Large amounts of water do have a big impact on the weather: indeed, it takes less energy to warm/cool land than water.
Therefore, places near large amounts of water tend to have smaller differences in temperature between summer and winter than places far from waters.
Hence, during winter in Puerto Rico, alongside the coast, the temperature will be higher than in the innermost parts of the island.
Answer:
I = 2172.46 A
Explanation:
Given that,
The length of a solenoid, l = 2.1 m
The inner radius of the solenoid, r = 28 cm = 0.28 m
The number of turns in the wire, N = 1000
The magnetic field in the solenoid, B = 1.3 T
We need to find the current carried by it. We know that, the magnetic field in a solenoid is given by :
Put all the values,
So, it carry current of 2172.46 A.
