Answer: 45.3°
Explanation:
Given,
Length of ladder = l
Weight of ladder = w
Coefficient of friction = μs = 0.495
Smallest angle the ladder makes = θ
If we assume the forces in the vertical direction to be N1, and the forces in the horizontal direction to be N2, then,
N1 = mg and
N2 = μmg
Moment at a point A in the clockwise direction is
N2 Lsinθ - mg.(L/2).cosθ = 0
μmgLsinθ - mg.(L/2).cosθ = 0
μmgLsinθ = mg.(L/2).cosθ
μsinθ = cosθ/2
sin θ / cos θ = 1 / 2μ
Tan θ = 1 / 2μ
Substituting the value of μ = 0.495, we have
Tan θ = 1 / 2 * 0.495
Tan θ = 1 / 0.99
Tan θ = 1.01
θ = tan^-1(1.01)
θ = 45.3°
One of the major forms of energy driving the water cycle is geothermal energy. Heat is responsible for warming up water, which in turn evaporates, and then again returns to Earth's surface in the form of rain.
Answer:
Distance covered 28 km
displacement is 22.8 km North-East
Explanation:
Distance shows how far apart objects or points are from each other. The distance he covered is the sum of all the distance travelled. Therefore:
Distance covered = 12 km + 6 km + 10 km = 28 km
Displacement is a vector quantity (has direction). It is the overall change in position.
The total distance traveled north = 12 km + 10 km = 22 km
The distance traveled east = 6 km
The displacement (d) is:
d² = 22² + 6² = 484 + 36
d² = 520
d = √520 = 22.8 km
Therefore the displacement is 22.8 km North-East
Answer:
-Increase in temperature: increase
-Decrease in temperature: decrease
-Increase in volume: increase
-Decrease in volume: decrease
-Increase in pressure: increase
-Decrease in pressure: decrease
Explanation:
-Increase in temperature:
● Molecules gain kinetic energy and move fast thus increasing distance
-Decrease in temperature:
● Kinetic energy of molecules decrease so they have smaller distance
-Increase in volume:
● Molecules have more space to move around so distance increase
-Decrease in volume:
● Less space, molecules collide with each other because of decreased distance thus increasing pressure
-Increase in pressure
● Molecules collide with each other and the walls of container increasing pressure so molecules move faster and it increases distance
-Decrease in pressure:
● Molecules collide with each other and walls of container less frequently so distance between molecules decrease
Answer:
xf = - 3.16 m
Explanation:
the squirrel was initially in the position xi = 3.65 m, then it had a displacement of Δx = -6.81 m.
The negative sign indicates that it moved in the opposite direction, so we must subtract this displacement Δx = -6.81 m to the initial position xi = 3.65 m, to find its final position.
3.65 m - 6.81 m = - 3.16 m